# The following hypotheses are given.

9. The following hypotheses are given.

H0 : π ≤ 0.8
H1 : π > 0.8

A sample of 100 observations revealed that p = 0.91. At the 0.02 significance level, can the null hypothesis be rejected?

(a) State the decision rule. (Round your answer to 2 decimal places.)

Reject H0 and H1 if z >

(b) Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Value of the test statistic =

10. A sample of 43 observations is selected from a normal population. The sample mean is 30, and the population standard deviation is 3. Conduct the following test of hypothesis using the .05 significance level.

H0 : μ ≤ 29
H1 : μ > 29

(a) Is this a one- or two-tailed test?

“One-tailed”-the alternate hypothesis is greater than direction.

(b) What is the decision rule? (Round your answer to 2 decimal places.)

H0 and H1 when z >

(c) What is the value of the test statistic? (Round your answer to 2 decimal places.)

Value of the test statistic 2.19

(d) What is your decision regarding H0?

Reject

There is sufficient evidence to conclude that the population mean is greater than 29.

(e) What is the p-value? (Round your answer to 4 decimal places.)

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