Question

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 = 171 number making claims = 40 (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 policyholders and p2 = claim rate for married male policy holders.) H0: p1 − p2 ≠ 0 ; Ha: p1 − p2 = 0 H0: p1 − p2 = 0; Ha: p1 − p2 ≠ 0 H0: p1 − p2 > 0 ; Ha: p1 − p2 ≤ 0 H0: p1 − p2 ≤ 0 ; Ha: p1 − p2 > 0 H0: p1 − p2 ≥ 0 ; Ha: 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. (A) Reject H0. We can conclude that there is a difference between claim rates. (B) Do not reject H0. We can conclude that there is a difference between claim rates. (C) Reject H0. We can not conclude that there is a difference between claim rates. (D) Do not reject H0. We can not 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.) to __

          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 = 171
number making claims = 40
(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
policyholders and p2 = claim rate for
married male policy holders.)
H0: p1 − p2 ≠ 0
; Ha: p1 − p2 =
0
H0: p1 − p2 =
0; Ha: p1 − p2 ≠ 0
H0: p1 − p2 >
0
; Ha: p1 − p2 ≤ 0
H0: p1 − p2 ≤ 0
; Ha: p1 − p2 >
0
H0: p1 − p2 ≥ 0
; Ha: 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.
(A) Reject H0. We can conclude that
there is a difference between claim rates.
(B) Do not reject H0. We can conclude
that there is a difference between claim
rates.   
(C) Reject H0. We can not conclude
that there is a difference between claim rates.
(D) Do not reject H0. We can not
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.)
____ to ______

Added by Lori R.

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