Question
In: Statistics and Probability
A large automobile insurance company selected samples of single and married male policyholders and recorded the...
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 n1= 451 Number making claims = 81
Married Policyholders n2=934 Number making claims =116
1. Use α=.05. Test to determine whether the claim rates differ between single and married male policyholders.
a. z value (2 decimals)
b. P-value (4 decimals)
2. Provide a 95%% confidence interval ( to 4 decimals ) for the difference between the proportions for the two populations. Enter negative answers as a negative number.
( , )
Solutions
orchestra answered 1 year agoRelated Solutions
A large automobile insurance company selected samples of single and married male policyholders and recorded the...
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 = 144
number making claims = 28
(a)
Use α = 0.05. Test to determine whether the claim rates
differ between single and married male policyholders.
State the null and alternative hypotheses. (Let
p1 = claim rate for single male...
A large automobile insurance company selected samples of single and married male policyholders and recorded the...
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 = 144
number making claims = 28
(a)
Use α = 0.05. Test to determine whether the claim rates
differ between single and married male policyholders.
State the null and alternative hypotheses. (Let
p1 = claim rate for single male...
A large automobile insurance company selected samples of single and married male policyholders and recorded the...
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= 587
n2=972
Number making claims=90
Number making claims=103
a. Use ALPHA = 0.05. Test to determine whether
the claim rates differ between single and married male
policyholders.
-value
(to 2 decimals)
-value
(to 4 decimals)
b. Provide a confidence interval (to
4 decimals) for the difference between the...
A large car insurance company selected samples of single and married male policyholders and recorded the...
A large car 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 = 450 n2 = 925 #
making claim = 67 # making claim = 93
Using alpha = 0.05, determine whether the claim rates are higher
for single male policyholders verses married male policyholders.
Solve using the p-value approach only. Which group has the highest
insurance claim percentage,...
1. A large insurance company wants to determine whether the proportion of male policyholders who would...
1. A large insurance company wants to determine whether the
proportion of male policyholders who would not submit auto
insurance claims of under $500 is the same as the proportion of
female policyholders who do not submit claims of under $500. A
random sample of 400 male policyholders produced 272 who had not
submitted claims of under $500, whereas a random sample of 300
female policyholders produced 183 who had not submitted claims of
under $500
a) Construct a 90%...
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A large automobile insurance company wants to test the null hypothesis that the mean age in...
A large automobile insurance company wants to test the null
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47.2 years, and the variance is 121 (squared years). The
significance level is 5%.
1. What is the population?
a. Bernoulli. Xi , i = 1,…,n are i.i.d. Bernoulli random
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b. Normal....
A large car insurance company is conducting a study of accidents for male and female drivers.
A large car insurance company is conducting a study of accidents
for male and female drivers. They want to know if on average male
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more accidents than female drivers. Data on the number of accidents
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An individual who has automobile insurance from a certain company is randomly selected. Let Y be...
An individual who has automobile insurance from a certain
company is randomly selected. Let Y be the number of
moving violations for which the individual was cited during the
last 3 years. The pmf of Y is given.
y
0
1
2
3
p(y)
0.50
0.30
0.15
0.05
(a)
What is the probability that among 15 randomly chosen such
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(b)
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A survey of 120 randomly selected employees of a large insurance company shows that the sample...
A survey of 120 randomly selected employees of a large insurance
company shows that the sample proportion of employees which feel
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proportion of all this company’s employees who feel secure about
their jobs. Round your bounds to 2 decimal places.
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