Answer:
Step-by-step explanation:
The null hypothesis and alternative hypothesis can be formulated as:
[tex]\mathbf{H_o: P_1 - P_2 \le 0}[/tex]
[tex]\mathbf{H_1 : P_1 -P_2> 0}[/tex]
From the information given:
The sample proportion of rooms occupied for the current year.
[tex]P_1 = \dfrac{1470}{1750}[/tex]
[tex]P_1 = 0.84[/tex]
Sample size [tex]n_1[/tex] = 1750 (total number of rooms for the current year)
The sample proportion of rooms occupied for the previous year.
[tex]P_2 = \dfrac{1440}{1800}[/tex]
[tex]P_2 =0.8[/tex]
Sample size [tex]n_2[/tex] = 1800 (total number of rooms for the previous year)
Thus, the estimated proportion of the hotel rooms occupied each year are:
Current Previous
0.84 0.80
Since this is a one-sided right-tailed test;
The pooled proportion can be computed as:
[tex]\hat p= \dfrac{p_1 \times n_1 + p_2 \times n_2}{n_1 + n_2}[/tex]
[tex]\hat p= \dfrac{0.84 \times 1750 + 0.80 \times1800}{1750 +1800}[/tex]
[tex]\hat p=0.8197[/tex]
The standard error SE = [tex]\sqrt{\hat p ( 1- \hat p) ( \dfrac{1}{n_1} + \dfrac{1}{n_2} )}[/tex]
[tex]= \sqrt{0.8197 ( 1-0.8197) ( \dfrac{1}{1750} + \dfrac{1}{1800} )}[/tex]
[tex]= \sqrt{0.8197 ( 0.1803) (0.00112698 )}[/tex]
[tex]=0.0129[/tex]
Finally, the test statistics is calculated as:
[tex]Z_{calc} = \dfrac{(0.84 - 0.8)}{0.0129}[/tex]
[tex]Z_{calc} = 3.101[/tex]
Find the area of the triangle
Answer:
50.4
Step-by-step explanation:
Sorry if this is wrong. I don't know the height.
How do you divide fractions?
Answer:
The easiest way to divide fractions is to follow three simple steps:
1. Flip the divisor into a reciprocal.
2. Change the division sign into a multiplication sign and multiply.
3. Simplify if possible.
Marcus lives on a street where all the
house numbers are multiples of 9.
If the first number on the street is 9,
what are the next 3 possible house
numbers? Explain.
Answer:
18 27 36 you just have to do your count byes for 9
Jenny sold 3 pitchers of lemonade on Saturday morning. That afternoon, she sold 1/3 as much as she did in that morning. How many pitchers of lemonade did Jenny sell on Saturday afternoon?
Answer:
She sold 1 pitcher.
Step-by-step explanation:
1/3 of 3 is one
For a better look just zoom zoom
Answer: im late to this answer
Step-by-step explanation:
1.a)1,5
2.b)2,6
3.c)3,8
4.d)4,10
5.e)5,13
All the plotted points are on top.
The points (10, -8) and (9, g) fall on a line with a slope of -6. What is the value of g?
Answer:
-2
Step-by-step explanation:
if you add 6 to -8 you get -2. also if you go on desmos and do the slope, you get -2
Team B has won 10 games in total how many games have the three teams won?
Answer:
If team B has won 10 games how many games were there in total u have to give the whole question only part of it...
Step-by-step explanation:
1 The number of guests, g, coming for dinner is not 8
2 the distance of the race d is at least 6 miles
what is the inequality for each of the solutions
Answer:
1. g < 8
2. d ≤ 6
25x + 10y = 600
5x - 3y = 70
According to Inc, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. Suppose a survey of 22- to 30-year-old job seekers showed that 308 of the 370 respondents use social media in their job search. In addition, 281 of the 370 respondents indicated they have electronically submitted a resume to an employer.
A) Conduct a hypothesis test to determine if the results of the survey justify concluding the proportion of 22- to 30-year-old job seekers who use social media in their job search exceeds the proportion of the population that use social media in their job search. Use α = 0.05.
1) State the null and alternative hypothesis.
2) Find the value of the test statistic.
3) Find the p-value.
B) Conduct a hypothesis test to determine if the results of the survey justify concluding that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Using α = 0.05, what is your conclusion?
1) State the null and alternative hypothesis.
2) Find the value of the test statistic.
3) Find the p-value.
Answer:
A) i) Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
ii) test statistic = 2
iii) P-value = 0.02275
B) i) Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
ii) test statistic = 2.5
iii) P-value = 0.00621
Step-by-step explanation:
A) We are given;
Population proportion; p = 79% = 0.79
308 of the 370 respondents use social media in their job search. Thus;
Sample proportion; p^ = 308/370 = 0.8324
Let's state the hypotheses;
Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.8324 - 0.79)/√(0.79(1 - 0.79)/370)
z = 0.0424/0.021175
z = 2
From online p-value from z-score calculator attached and using; z = 2; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.02275
B) similar to answer A above, Population proportion; p = 70% = 0.70
But 281 of the 370 respondents use social media in their job search. Thus;
Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
Also; Sample proportion; p^ = 281/370 = 0.7595
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.7595 - 0.70)/√(0.70(1 - 0.70)/370)
z = 0.0595/0.023824
z = 2.5
From online p-value from z-score calculator attached and using; z = 2.5; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.00621
Fourteen less than three times a number is fifty-two.
Answer:
3x −14 = 52
Good luck have a good day! Took me a minute to figure out the question, but here you go!
Median of 149 111 171 166 152 129 162 144
Answer:
150.5
Step-by-step explanation:
order the numbers lowest-highest:
111, 129, 144, 149, 152, 162, 166, 171
find the number exactly in the middle of the sequence
Answer:
150.5 is the answer
Step-by-step explanation:
You put them in order of smallest to largest
111,129,144,149,152,162,166, 171
Then you pick the middle one
150.5
Four fundamental factors affect the cost of money: (1) the return that borrowers expect to earn on their investments, (2) the preference of savers to spend their income in the current period rather than delay their consumption until some future period, (3) the risks associated with the investment, and (4) expected inflation. Consider the following statements that address these factors, and indicate which you think are true.
Statement 1: All things being equal, savers and investors expect to receive some amount of maturity premium as compensation for their deferred consumption.
Statement 2: Historical inflation rates, as opposed to expected future rates of inflation, should be used when calculating an investment’s nominal risk-free rate of return.
Statement 3: An investment that can provide a 10% return should attract more investment capital than an otherwise identical investment that can only provide a 6% return.
Statement 4: The inflation premium used to calculate the nominal interest rate on a five-year security should be equal to the rate of inflation expected in year 5 of the investment.
The true statements are:_______.
a. 1, 2, 3, and 4
b. 2 and 4
c. 1, 2, and 3
d. 1 and 3
Answer:
The true statements are 1 and 3
Step-by-step explanation:
Statement 1 -
All things being equal ,the savers and investors expect to receive some amount of maturity premium as compensation for their deferred consumption.
Statement 3 -
An investment that can provide a 10% return should attract more investment capital than an otherwise identical investment that can only provide a 6% return.
It is true because the return is higher than the return of identical investment therefore the higher returns will attract more investment.
Statement 2-
It is a false statement.
Historical inflation rates should not be used when calculating an investment’s nominal risk-free rate of return
But the real risk free rate and inflation premium is the part of prevailing interest rates that results from lenders compensating for expected inflation should be used
Statement 4-
It is a false statement.
The inflation premium used to calculate the nominal interest rate on a five-year security should not be equal to the rate of inflation expected in year 5 of the investment.
∴ we get
Statement 1 and 3 are true.
5.6 is what percent of 70?
Answer:
8%
cba to explain loolll
Each water bottle occupies 30 cubic inches. How may water bottles are in the box?
Answer:
well that depends on how big the box is.
Answer:
PETE water bottle 50 oz. (over 1.5 liters) 0.12 U.S. EPA PETE, 2 liter 1 bottle 0.13 U.S. EPA PET soda bottles, whole, loose 1 cubic yard 35 MN STATE PET soda bottles, whole, loose 1 gaylord 45 MN STATE PET soda bottles, whole, baled 30" x 48" x 60" 600 MN STATE PET soda bottles, whole, granulated 1 gaylord 725 MN STATE
Step-by-step explanation:
Select the equation that contains the point (4,7) and in which the slope equals 1
Answer:
y-7=x-4
Step-by-step explanation:
If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3
7=7 so that is correct.
I WILL GIVE BRAINLIEST PLS HELP!!!!
The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.
TRUE OR FALSE AND ALSO EXPLAIN
dose 1/2 divided by 2 equil 4
Answer:
1/2 divided by 2 equals to 0.25 (25/100).
30% of ________ peaches is 6 peaches. * how do you get this
Answer:
20
Step-by-step explanation:
30% of 'something' equals 6.
Translated into math, that is
(.30)N = 6
N = 6/0.30
N = 20
answer quick pls today
Answer:
60%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
Write the following series in sigma notation.
9+13+17+21+25+29+33
Answer:
147
Step-by-step explanation:
Suppose corn chips cost 32.5 cents per ounce. What would a bag of chips cost if it contained 19 oz? Round your answer to the nearest cent, if
necessary
Answer:
$6.18 :)
Step-by-step explanation:
617.5 cents would a bag of chips cost if it contained [tex]19[/tex] oz.
What is unitary method?Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to question,
Corn chips costs = [tex]32.5[/tex] cents per ounce.
A bag of chips of [tex]19[/tex] oz costs = 32.5 * 19
= 617.5 cents
Hence, 617.5 cents would a bag of chips cost if it contained [tex]19[/tex] oz.
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What number do you multiply to find this partial product 8×56
Answer: 8*56 is 448
you could also multiply 2⁶ x 7 to get 448
The number that you can multiply to find this partial product 8×56 is 8 and (50+6).
What is the partial product?The partial product method involves multiplying each digit of one integer by each digit of another, while each digit retains its position. For example, 23 x 42 becomes (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
The number that you can multiply to find this partial product is,
8×(50+6)
= (8×50) + (8×6)
= 400 + 48
= 448
Hence, the number that you can multiply to find this partial product 8×56 is 8 and (50+6).
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For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6*5*4*3*2*1.) What value of n satisfies the following equation?
5! X 9! = 12! x N
Answer:
The value of N that satisfies the equation is [tex]\frac{1}{11}[/tex]
Step-by-step explanation:
First we open the factorial of 12, to simplify the expression:
12! = 12*11*10*9!
So
5!*9! = 12!*N
5!*9! = 12*11*10*9!N
12*11*10N = 5!
Now we open the factorial of 5. So
12*11*10*N = 5*4*3*2*1
Since 5*2 = 10, 4*3 = 12, we have that:
12*11*10*N = 10*12*1
Now, simplifying by 10*12
11N = 1
[tex]N = \frac{1}{11}[/tex]
This is the value of N that satisfies the equation
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Students at a certain high school can choose from three different classes.9/10 of the students choose Spanish,37% choose French and 9/50 choose Chinese.
A.order the languages from the most number of students take to the one the least number students take. Justify your answer.
Answer:
1 Spanish 90%
2.French 37%
3. Chinese 18%
Step-by-step explanation:
9/10 .......... 90/100 ........... 90%
37%.................. 37%
9/50............. 18/100 .......... 18%
albert needs to make a grade of more than 90 to get an a in his math class
What is the equation of the line that passes through the point (-6,1) and has a
slope of -3/2
solve the equation.
log 8 + log x = 1
Answer:
[tex]x = \frac{5}{4}=1\frac{1}{4}=1.25[/tex]
Step-by-step explanation:
Hope this helps.
5 cm
12 cm
What is the area
of this rectangle?
And why
Answer:
60cm^2
Step-by-step explanation:
5X12=60
PLEASE HELP! PLEASE ALSO GIVE A GOOD EXPLANATION AND SHOW WORK! 45 points!!
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint.
Select ALL of the true statements.
1. Painting 1/2 of Dalia's room requires 10 cans of paint.
2. Each can of paint will cover 1/20 of Dalia's room.
3. 3 cans of paint will cover 60% of Dalia's room.
4. Dalia's entire room requires 20 cans of paint.
5. Dalia's entire room requires 5 cans of paint.
Hence statement 3 and 5 are true from the equation given in question.
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Number of cans used 1/10 part of room = 1/2
No. of cans paints used 1 part = 1/2 / 1/10 = 5
∵ 1/2 can paint is used = 1/10
∴ 1 can paint used = (1/10)*2 = 1/5
∴ 5 cans = 100%
3 cans used = (3/5)*100 = 60%
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