Single Policyholders n₁ = 900 number making claims = 153 Ho: P₁ P₂ = 0 H₂₁: P₁ P₂ = 0 O Ho: P₁ P₂ > 0 HP₁P₂0 Married Policyholders (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 p₁ = claim rate for single male policyholders and P₂ = claim rate for married male policy holders.) O Ho: P₁ P₂ So H: P₁ P₂ > 0 Ho: P₁ P₂ = 0 H₂: P₁ P₂ #0 Ho: P₁ P₂ 20 n₂ = 400 number making claims 32

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

I need help with parts a AND b (towards the bottom of the page), please and thank you 

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
72 = 400
number making claims = 153 number making claims
O
(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 P₁ = claim rate for single male policyholders and p2₂ = claim rate for married male policy holders.)
O
Ho: P₁-P₂ ≤ 0
H₂: P₁-P₂ > 0
Ho: P₁ P₂ #0
Ha: P₁-P₂ = 0
O Ho: P₁-P₂ >0
H₂: P₁-P₂ ≤ 0
Ho: P₁ P₂ = 0
Ha: P1-P₂ #0
Ho: P₁ P₂ 20
Ha: P₁ P₂ <0
=
Find the p-value. (Round your answer to four decimal places.)
p-value =
32
Find the value of the test statistic. (Round your answer to two decimal places.)
X
State your conclusion.
Do not reject Ho. We can not conclude that there is a difference between claim rates.
Reject Ho. We can not conclude that there is a difference between claim rates.
Reject Ho. We can conclude that there is a difference between claim rates.
O Do not reject Ho. We can conclude that there is a difference between claim rates.
to
(b) Provide a 95% confidence interval for the difference between the proportions for the two populations. (Round your answers to four decimal places.)
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 n1 = 900 72 = 400 number making claims = 153 number making claims O (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 P₁ = claim rate for single male policyholders and p2₂ = claim rate for married male policy holders.) O Ho: P₁-P₂ ≤ 0 H₂: P₁-P₂ > 0 Ho: P₁ P₂ #0 Ha: P₁-P₂ = 0 O Ho: P₁-P₂ >0 H₂: P₁-P₂ ≤ 0 Ho: P₁ P₂ = 0 Ha: P1-P₂ #0 Ho: P₁ P₂ 20 Ha: P₁ P₂ <0 = Find the p-value. (Round your answer to four decimal places.) p-value = 32 Find the value of the test statistic. (Round your answer to two decimal places.) X State your conclusion. Do not reject Ho. We can not conclude that there is a difference between claim rates. Reject Ho. We can not conclude that there is a difference between claim rates. Reject Ho. We can conclude that there is a difference between claim rates. O Do not reject Ho. We can conclude that there is a difference between claim rates. to (b) Provide a 95% confidence interval for the difference between the proportions for the two populations. (Round your answers to four decimal places.)
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman