Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
Find the value of the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. There is a significant difference in drug resistance between the two states.Do not reject H0. There is a significant difference in drug resistance between the two states. Reject H0. There is not a significant difference in drug resistance between the two states.Do not reject H0. There is not a significant difference in drug resistance between the two states.

Answers

Answer 1

Answer:

Reject H. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:  

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}= 0[/tex].  

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}\neq 0[/tex].  

(2)

Compute the sample proportions and total proportion as follows:

[tex]\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\[/tex]

Compute the test statistic value as follows:

[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86[/tex]

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

[tex]p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424[/tex]

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H. There is a significant difference in drug resistance between the two states.


Related Questions

Find the distance between the points.
(-1, -3) and (-1,0)
The distance is

Answers

Answer:

5.099

Step-by-step explanation:

The distance between the points is 3.

#7-11 given two parallel lines find the values of the variables requested below.

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Answer:

what the heck

Step-by-step explanation:

osana is tracking how many customers she can serve in a morning. She listed the number of customers served per hour in the following table: Hour (x) Number of Customers f(x) 1 3 2 5 3 7 Determine if these data represent a linear function or an exponential function, and give the common difference or ratio. This is a linear function because there is a common difference of 2. This is an exponential function because there is a common ratio of 2. This is a linear function because there is a common difference of 3. This is an exponential function because there is a common ratio of 3.

Answers

Answer: This is a Linear function because there is a common difference of 2.

Step-by-step explanation:

Answer:

Answer A) ;

✅This is a linear function because there is a common difference of 2.

Step-by-step explanation:

Because she listed the number of customers served per hour in the following table: Hour (x) Number of Customers f(x) 1 3 2 5 3 7

At 8 A.M. the temperature was-14 °F. By noon, the temperature was 12 °F. How many degrees did it change? *

Answers

Answer:

I think that to go to the temperature you you can draw a straight line then on one side write negative the other side positive that the centre write 0 then locate -14 and 12 so negative 14 will fall on the negative side and 12 will fall on the positive side then count from -14 up to positive 12 and you'll find that it changed by 26°

I will give you brainliest.

Answers

Pennies have been made with an alloy comprised of 97.5% zinc and 2.5% copper, but pennies minted before 1982 are 95% copper and 5% zinc. The price of copper has more than quadrupled over the past 10 years.

So a penny produced before 1982 is worth 2.2 cents based on the metal it contains.

On eBay, a lot of 5000 pennies has a face value of $50, but it will sell for $60.

Nathan plays Fortnite and has accumulated 380 solo wins over 2 days . His friend Debbie has 10 times fewer solo wins. How many solo wins does Debbie have?​

Answers

Answer:

okay if nathan has 380 wins in 2 days that would mean debbie has 190 wins per day

Step-by-step explanation:

380 divide 2=190

It costs $520.00 to buy 4 ounces of gold. How much would it cost to buy six tenths of an ounce of gold?

Answers

6oz=$780.00

If it costs $520.00 for 4oz you first divide both numbers by 4 which should leave you with 1oz=$130.00 if you then multiply both sides by 6 you end up with your answer 6oz=$780.00

Answer:

around like 700,000

Step-by-step explanation:

I don’t get it help

Answers

Answer:

I believe it would be → and →. These are considered rays (V and X) and they connect at W to form an angle.

1 euro is 1.07 dollars and £1 is 1.25 dollars how many euros are in £1

Answers

Answer:

1.18 i think

Step-by-step explanation:

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.

a. Number of students in a class of 35 who turn in a term paper before the due date.
b. Gender of the next baby born at a particular hospital.
c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop.
d. Thickness of the gelatin coating of a vitamin E capsule
e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major

Answers

Answer:

a. Numerical (discrete).

b. Categorical.

c. Numerical (continuous).

d. Numerical (continuous).

e. Categorical.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

a. Number of students in a class of 35 who turn in a term paper before the due date: this is a numerical data and it is discrete in nature because the number of possible values are finite or countable.

b. Gender of the next baby born at a particular hospital: this is a categorical data because it contains a nominal variable (gender).

c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.  

d. Thickness of the gelatin coating of a vitamin E capsule: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.

e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major: this is a categorical data because it is used to categorize an information (birth order).

Same set up as the problem
to the left. Fill in the blanks.
25
39

Answers

Answer:

Step-by-step explanation:

Huh?

What is the place value of the 3 in the following number:

0.2738

Answers

Answer:

It is in the thousands place

Monday through Friday A grocery store buys 2/3 bushel of apples per day from a local grower. Saturday the grocer buys 1 1/3 bushels Of apples. Is the grocer buys apples for four weeks how many bushels of apples does he buy

Answers

Answer:

21 and 1/3

Step-by-step explanation:

2/3 five times would be 4 and then times that by 4 you get 16

1 and 1/3 times 4 would be 5 and 1/3

5 and 1/3 plus 16=21 and 1/3

help this question why s really hard

Answers

Answer:

12 2/3

Step-by-step explanation:

I'm too lazy to give an explanation. Hope this helped though.

Tomatoes and cucumbers were planted in the garden in the ratio 4:1 there if there 14 cucumber plants how many tomato plants are there

Answers

Answer:

56

Step-by-step explanation:

14 cucumbers multiplied by 4 is 56 tomatoes

The number of tomato plants is 56.

Important information:

Ratio of tomatoes and cucumbers is 4:1.Number of cucumbers is 14.Ratio:

Let [tex]x[/tex] be the number of tomato plants. Then,

[tex]\dfrac{x}{14}=\dfrac{4}{1}[/tex]

On cross multiplication, we get

[tex]x\times 1=4\times 14[/tex]

[tex]x=56[/tex]

Therefore, the number of tomato plants is 56.

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What is the X-INTERCEPT (x, 0) of the equation x - 3y = 7

Answers

Answer:

7

Step-by-step explanation:

When finding the x intercept you replace the y with 0 leaving only x=7

Answer:

7

Step-by-step explanation:

You find it the same way you find the y - intercept in y=mx+b.

Please look at the image below for the question.

Answers

The answer would be “stu”

okay i think this big enough for yall

Answers

Answer:

b(side length) = 15 centimeters

Step-by-step explanation:

Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.

We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.

b = (4050/18)^1/2

b = (225)^1/2

b = 15

___________

We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18

4050 = 270 × w

4050/270 = w

15 = w

w = 15.

A square base is when the length and width are equal. Therefore this value has to be true.

As 15 × 15 × 18 = 4050.

I NEED HELP WITH THESE PLEASE?

Answers

Answer:

59

Step-by-step explanation:

Given ABC = DEF
m m find m

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent.

  angle B = angle E

  3v +4 = 8v -6

  10 = 5v

  v = 2

Then the measure of angle B is

  3v +4 = 3(2) +4 = 10 . . . measure of ∠B

Answer:

10

Step-by-step explanation:

I hope this helps and good luck

Describe the difference between Western Europe and Eastern Europe after WW II

Answers

Answer:

Eastern Europe were Soviet controlled communist puppet governments while the West were American, French, and British backed capitalist governments. Hope this helps

Evaluate the expression when c=3 and y=-4. 8c-y

Answers

Answer:

28

Step-by-step explanation:

8c - y

8( 3) - (- 4)

24 + 4

28

Graph y = 1/x + 3 and identify the x-intercept

Answers

Answer:

x intercept is 6

y intercept is 3

Step-by-step explanation:

Which property justifies this statement? If Q is between P and R, then PR=PQ+QR.

Answers

Answer:

P Q R means p and r between. q

13 people take their driving test on the same day. 9 of them pass. What fraction of people didn’t pass?

Answers

Answer:

30.769230769231% or 4/13

Step-by-step explanation:

The fraction of people didn’t pass is 4/ 13.

We have,

Total number of people taking the test: 13

Number of people who passed: 9

So, the number of people who didn't pass

Number of people who didn't pass = Total number of people - Number of people who passed

Number of people who didn't pass = 13 - 9

Number of people who didn't pass = 4

So, the fraction of people didn’t pass

= 4/ 13.

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Write 68 447/1000 as a decimal number

Answers

68.447 I believe is the correct answer

point a is located at coordinates (-4,3) point d is the image of A after a reflection using the y-axis , then a translation two units to the right. what are the coordinates of point d ?
help Asap

Answers

Answer:

(6,3)

Step-by-step explanation:

If you reflect (-4,3) over the y-axis it is going to become (4,3).

Then, if you move it 2 units to the right, it becomes (6,3)

The coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the point  (-4,3) is the image of A after a reflection using the y-axis, then a translation of two units to the right.

Reflection of point ( -4 , 3 ) ⇒ ( 4 , 3 )

A translation of two units to the right ⇒ ( 4 + 2, 3 ) ⇒ ( 6, 3 )

Therefore, the coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

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If you can buy one jar of sun-dried tomatoes for $4, then how many can you buy with $20? Round to the nearest whole number, if needed.

Answers

Answer:

5

Step-by-step explanation:

If you can buy one for $4

20/4 = 5

you can buy 5 cans

Answer:

He can buy 5 jars of sun-dried tomatoes

Step-by-step explanation:

all you have to do is divide 4 and 20 so you get 5!

what is the ships speed

Answers

Answer:

You need a photo or text to back that up, we can't solve this without an image or something that explains this problem.

Step-by-step explanation:

Solve for x
(3x + 2)
71
A) 28
C) 24
B) 23
D) 34

Answers

3x=71-2

3x=69

x=69/3

x=23

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