A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $9000. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α=0.06, is there enough evidence to support the claim? Use technology.

83,588	98,467	87,600	81,090	84,281	72,665	83,032	82,046	95,101	82,544
74,893	85,628	80,776	98,338	94,799	75,054	94,740	90,498	74,997	82,122
70,621	90,122	95,565	79,472	73,946	98,535	85,361	98,813	96,342	96,506

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Part 1

(a) Identify the null hypothesis and alternative hypothesis.

A. H0:μ>85,000

Ha:μ≤85,000

B. H0: μ≤85,000

Ha: μ>85,000

C. H0: μ≥85,000

Ha: μ<85,000

D.

H0: μ=85,000

Ha: μ≠85,000

E. H0: μ≠85,000

Ha: μ=85,000

F. H0: μ>85,000

Ha: μ≤

Identify the standardized test statistic.

z=enter your response here (Round the final answer to two places as needed. Round all intermediate values to three places as needed.)

Part 3

(c) Find the P-value. Use technology. enter your response here (Round to three decimal places as needed.)

Part 4 (d) Decide whether to reject or fail to reject the null hypothesis.

A. Reject H0. There is   sufficient evidence to support the claim that managers mean salary is more than the national mean.

B. Fail to reject H0. There is sufficient evidence to support the claim that managers mean salary is more than the national mean.

C. Reject H0.There is not sufficient evidence to support the claim that managers mean salary is more than the national mean.

D. Fail to reject H0. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean.