Question

The test statistic of z=−3.36 is obtained when testing the claim that p<0.59. a. Using a...

The test statistic of z=−3.36 is obtained when testing the claim that p<0.59.

a. Using a significance level of α=0.05 , find the critical value(s)

.b. Should we reject Upper H0 or should we fail to reject Upper H0 ?

a. The critical value(s) is/are z=?

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

b. Choose the correct conclusion below.

A.RejectReject Upper H0. There is not sufficient evidence to support the claim that p<0.59.

B.Fail to reject Upper H0. There is sufficient evidence to support the claim that p<0.59.

C.RejectReject Upper H0. There is sufficient evidence to support the claim that p<0.59.

D.Fail to reject to reject Upper H0. There is notsufficient evidence to support the claim thatp<0.59.

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Answer #1

(a) The critical value is z = –1.64485 ≈ –1.64

(b) Conclusion: C. Reject H0. There is sufficient evidence to support the claim that p < 0.59.

[Since, the absolute value of the test statistic (3.36) exceeds the absolute value of the critical value (1.64), we reject the null hypothesis, H0 and conclude that there is sufficient evidence to support the claim that p < 0.59]

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