A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.

Single Policyholders Married Policyholders
n1 = 900 n2 = 400
Number making claims = 135 Number making claims = 24

Required:
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
b. Provide a 95% confidence interval for the difference between the proportions for the two populations.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the following :

Single policy holders (n1) = 900

Number making claims (x1) = 135

Married Policy holders (n2) = 400

Number making claims (x2) = 24

α = 0.05

a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.

Null: p1 - p2 = 0

Alternative : p1 - p2 ≠ 0

p = (n1p1 + n2p2) / n1 + n2 ;

p1 = x1/n1 = 135 / 900 = 0.15

p2 = x2/n2 = 24 / 400 = 0.06

p = (900*0.15 + 400*0.06) / (900 + 400)

p = 0.1223076

Test statistic (z):

(p1 - p2) / √p(1-p)(1/n1 + 1/n2)

(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)

= 4.5710979

Decision:

Reject Null if P < α

Obtaining p value from z score using calculator :

P value = 0.0001

0.0001 < 0.05

Hence,

Reject Null


Related Questions

a group of 347 people have signed up for bus trip to baseball game each bus holds a maximum of 42 passengers how many buses will be needed to take all the people to the game?​

Answers

9 buses are needed since 8x42 is only 336

P= a+b+c; P= 31, a=7, b = 9 (Perimeter of a triangle)

Answers

Answer:

( p -9)

Step-by-step explanation:

help me please!!!!!!

Answers

Answer:

pls help meeeeeee!!!!

Step-by-step explanation:

nwndndgndgbdgngd dgndg dg gfndgndgndghgshstnsgnsfnsfbwwwrhwtjetjyriutotioip!!hn!

help hurryyyyyyyyyy​

Answers

Answer:

The answer is 3.

Step-by-step explanation:

10-7=3

4-3=1

3/1=3

Sandy is working as a waitress and wants to average
over $90 a night in tips. She works 4 days a week. So
far, she has made $95, $87, and $88 this week. How
much must she make on her last day of work to meet
her goal?

Answers

She needs to make $95

Hi! could I have some help?​

Answers

Answer:

B

Step-by-step explanation:

It's B

Is the Mean Value Theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?
Why or why not?

Answers

The only point that derivative of the function f(x) = |x - 1| is not continuous is at x = 0. You need to check whether the slope for the interval (0,2) is continuous to see if you can apply MVT. The interval (0,2) does not include end points, so 0 is not in this interval. The function is continuous over the interval, so MVT can be applied.

30% of a number is 45. What is the original number?​

Answers

Answer:

150

Step-by-step explanation:

Captain Ben has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Umaima and her merciless band of thieves.
If his ship hasn't already been hit, Captain Ben has probability \dfrac{3}{4}
4
3

start fraction, 3, divided by, 4, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ben will always miss.
If her ship hasn't already been hit, dread pirate Umaima has probability \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss.
If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer:

0

Step-by-step explanation:

We are told that if the Captain's ship has been hit, he will always miss and since the pirate is shooting first, the captain's ship could be hit. So the probability that both of them hit each other's ship is 0 because if the pirate hits the Captain's ship, he will always miss.  1/2 * 0 = 0

There is no way for both of them to hit each other's ships because if their ships have been hit, they will always miss.

Answer:

0

Step-by-step explanation:

khan academy ( its actually right im not joking)

You will only get brainliest if you answer the question correctly and explain it. All other answers will be deleted!!!

in this diagram/picture, which equation could you prove to be true in order to conclude that the lines are parallel?

Answer Choices:

A)
[tex] \frac{c - a}{b} \times \frac{d}{e } = - 1[/tex]
B)
[tex] \frac{c - a}{b} \times \frac{ - d}{e} = - 1[/tex]
C)
[tex] \frac{c - a}{b} = \frac{ - d}{e} [/tex]
D)
[tex] \frac{c - a}{b} = \frac{d}{e} [/tex]

Answers

Answer:

b/a=c/d Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement. b/aâ‹…c/d=â’1 * This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer. b/a=c/d * b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two. b/a=d/c * b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer. b/aâ‹…d/c=â’1 * And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.

Step-by-step explanation:

10 times as many as 100 is hundreds or thousand

Answers

Answer:

thousands?

Step-by-step explanation:

10x100=1000

Answer:

10·100=1000. (THOUSANDS)

Step-by-step explanation:

Determine the slope of a line that passes through the points (-2,8) and (3,4)

Answers

Answer:

m= -4/5

Step-by-step explanation:

Use the slope formula to find the slope m .

Slope formula:

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

m = (y2 -- y1) / (x2 -- x1).

Jack and carlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?

Answers

Ganara más carlie porq resivira más dinero

Answer:

Translation from the other guy "Carlie will earn more because she will earn more money". for future people

Step-by-step explanation:

Multiply (1.2 ⋅ 1028) ⋅ (3 ⋅ 10−19). Express the answer in scientific notation.

3.6 ⋅ 109
3.6 ⋅ 1010
36 ⋅ 109
36 ⋅ 1010

Answers

Answer:

The answer would be A. 3.6 × 10 9

Step-by-step explanation:

The answer would be option A:

3.6 x 10^9


Find an equation of the line with slope m that passes through the given point. Put the answer in slope -intercept form.
(5, 3), m=-3/4

Answers

Answer:

y = -3/4x + 6.75

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Plug in the given point and slope into the equation, then solve for b:

y = mx + b

3 = -3/4(5) + b

3 = -3.75 + b

6.75 = b

Then, plug in the slope and y intercept into the equation:

y = -3/4x + 6.75 is the equation of the line in slope intercept form

Find the midpoint between the pair of points using the Midpoint
Formula. *
(7,-2) and (-4, 2)

Answers

Given parameters:

Coordinates = (7,-2) and (-4, 2)

The formula for the coordinate of the mid point is;

                  [tex]x_{m}, y_{m}[/tex]   =  ( [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2}[/tex] )

where;

[tex]x_{m}, y_{m}[/tex] are the coordinates of the mid points

  x₁  = 7                y₁ = -2

  x₂ = -4               y₂ = 2

   Input the parameters and solve;

     [tex]x_{m}, y_{m} = \frac{7 + (-4)}{2} , \frac{-2 + 2}{2}[/tex]

    [tex]x_{m}, y_{m}[/tex]   = [tex]\frac{3}{2} , 0[/tex]

So the mid point is at [tex]\frac{3}{2} , 0[/tex]

What is the greatest common factor of 20 and 36? A2 B4 C5 D6​

Answers

Answer:

4

Step-by-step explanation:

Eddie had $72.58 in his wallet. He received $40 for his birthday, and bought himself a game that cost $15.18. Select all
that apply to find how much money Eddie now has.
Add all the amounts to find how much Eddie now has.
Eddie has $97.40 left.
Eddie had $112.58 before he bought the game.
Add a placeholder zero to $72.58.
Subtract the amount Eddie received for his birthday

Answers

eddie had $112.58 with the money added that he got on his birthday; before he bought the game

so the correct answer is eddie had $112.58

How do you do this question?

Answers

Answer:

A and D

Step-by-step explanation:

Matched pairs t test is used for paired data.  Data sets are "paired" when the two sets have the same number of data points and each data point in a set is related to only one data point in the other set.

A good example is before/after data.  Each set has the same number of data points, and each data point in the after set is related to one in the before set.

B is not an option because, although the samples are the same size, there is not a paired relationship between the sets.

C is not an option because the samples are not the same size.

Which statements are true? Mark all that apply.

A
The distance between -3 and 5 on a number line is 2.

B
The distance between 7 and -2 on a number line is 9.

C
The distance between -4 and 12 on a number line is 8.

D
The distance between 10 and -3 on a number line is 13.

Answers

The answers are B C and D it will help if you just add the two numbers together if they are positive and subtract if they are negative

Answer:

B. and D

Step-by-step explanation: If you do for B 7-2=9, then you would get 9 as your answer. Same thing for D, 10-3=13. Hope this Helps!

When you mix two colors of paint in equivalent ratios, the resulting color is always the same.How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?

Answers

Answer:

1

Step-by-step explanation:

The car __________________ as the key was turned.

Answers

started?

Step-by-step explanation:

I dont know what the options are but it's probably started or something similar to that maybe

There are 6 times as many dogs as cats. If total the total number of dogs and cats is 21, how many dogs are there?

Answers

there are 18 dogs and 3 cats.

if k-9=5(k-3)find k​

Answers

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?​

Answers

Answer:

a

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

The inequality best represents the domain of the part shown should be -9<x ≤2.

What is domain?

Here domain means the change in the x. Here the domain should be the values of with respect to fn. Also, here we have to watch the blank line that goes from  -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

hence, The inequality best represents the domain of the part shown should be -9<x ≤2.

Learn more about function here: https://brainly.com/question/24547004

-4 (x + 1) -3 = -3 (x -4)

Answers

Answer: x+1x2. Explanation: Given that. 1x+1x2. =x⋅1+1⋅1x2. =x+1x2.

Step-by-step explanation:

if f(x)=3x+5 and g(x)=-2x^2-5x+3,find (f+g)(x)

Answers

Answer: I think it’s -2x^2-2x+8

Step-by-step explanation:

You add them by combining like terms.

Write 3x3x3x3x3x3 as a power. Then find the value of the power. Helpp this is for a math test btww !

Answers

Answer:

3^6

Step-by-step explanation:

Because you are multiplying 3 by itself six times

Answer:

729

Step-by-step explanation:

It's [tex]3^{6}[/tex]

Hope this helped love <3

Use GeoGebra to move points A, B, and C to the locations shown by the ordered pairs in the table. Record the length of each side and the measure of each triangle for the resulting triangle. Note that the length of a line segment is denoted with two letters but no bar on top. For example, AB is read as “ the length of AB.”

Answers

Answer:

Location AB BC AC m∠ABC m∠BAC m∠ACB

A(3, 4), B(1, 1), C(5, 1) 3.61 units 4 units 3.61 units 56.31° 67.38° 56.31°

A(4, 5), B(2, 1), C(7, 3) 4.47 units 5.39 units 3.61 units 41.63° 82.87° 55.49°

A(3, 6), B(3, -2), C(-3, -2) 8 units 6 units 10 units 90° 36.87° 53.13°Step-by-step explanation:

According to the locations given in the table, diagrams have been attached using GeoGebra.

What is GeoGebra?

GeoGebra is a dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one engine.

Learn more about GeoGebra here

https://brainly.com/question/10400398

#SPJ2

Your regular hourly rate is $7.75 per hour. On Sundays, your employer pays time and a half. Calculate your hourly rate for Sundays.

Answers

Answer:

11.625

Step-by-step explanation:

You would divide 7.75 in half. Then add that to 7.75.

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