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 n,= 400 n, = 900 number making claims = 76 number making claims 90 (a) Use a = 0.05, Test to determine whether the claim rates differ between single and married male policyholders. State the null and alternative hypotheses. (Letp, = claim rate for single male policyholders and p, = claim rate for married male policy holders.) O "o P1- P2 > 0 H P-P2s0 Ho: P1-P2 0 H P1- P2 = 0 o Ho P1- P2 20 Hi P- P2 < 0 Ho: P1- P2 s0 H P1- P2 > 0 O Ho P1- P2 = o HiP1- P2*0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho We can not conclude that there is a difference betvieen claim rates. O Do not reject Ho. We can not conclude that there is a difference between claim rates. O Reject H. We can conclude that there is a difference between claim rates. O Do not reject H We can conclude that there is a difference between claim rates. (b) Provide a 95% confidence interval for the difference between the proportions for the two populations. (Round your answers to four decimal places.)
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 n,= 400 n, = 900 number making claims = 76 number making claims 90 (a) Use a = 0.05, Test to determine whether the claim rates differ between single and married male policyholders. State the null and alternative hypotheses. (Letp, = claim rate for single male policyholders and p, = claim rate for married male policy holders.) O "o P1- P2 > 0 H P-P2s0 Ho: P1-P2 0 H P1- P2 = 0 o Ho P1- P2 20 Hi P- P2 < 0 Ho: P1- P2 s0 H P1- P2 > 0 O Ho P1- P2 = o HiP1- P2*0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho We can not conclude that there is a difference betvieen claim rates. O Do not reject Ho. We can not conclude that there is a difference between claim rates. O Reject H. We can conclude that there is a difference between claim rates. O Do not reject H We can conclude that there is a difference between claim rates. (b) Provide a 95% confidence interval for the difference between the proportions for the two populations. (Round your answers to four decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text: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
400
n2
=900
number making claims = 76
number making claims
= 90
(a) Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders.
State the null and alternative hypotheses. (Let p, = claim rate for single male policyholders and p, = claim rate for married male policy holders.)
Ho: P1- P2 > 0
Hai P1- P2s 0
o Ho: P1-P2* o
Ha P1- P2 = 0
O Ho: P1- P2 20
H: P1- P2 < 0
Ho: P1-P2 s 0
Ha P1- P2 > 0
Ho: P1- P2 = 0
H: P1- P2#0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
O Reject H We can not conclude that there is a difference between claim rates.
O Do not reject H We can not conclude that there is a difference between claim rates.
O Reject Ho: We can conclude that there is a difference between claim rates.
O Do not reject H We can conclude that there is a difference between claim rates.
(b) Provide a 95% confidence interval for the difference between the proportions for the two populations. (Round your answers to four decimal places.)
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