# Hypothesis testing problems using Z and t test

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The Board of Surgeons recommends a postoperative examination six months after a prostatectomy. In a sample from the records of Carver Memorial Hospital, follow-up exams were given in 80 out of 200 cases. In a sample of records from HiRent Hospital, follow-up exams were given in 120 out of 200 cases.

Normality may be assumed because

the population may be assumed normal.

the population may be assumed large.

the samples may be assumed random.

nπ ≥ 10, n(1-π) ≥ 10 for both samples.

The test statistic is:

-1.96

-2.58

-4.00

-3.477

If we are using α = .01 and a left-tailed test the decision is

clearly reject the hypothesis of equal proportions.

barely reject the hypothesis of equal proportions.

barely accept the hypothesis of equal proportions.

clearly accept the hypothesis of equal proportions.

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##### Solution Summary

The solution provides step by step method for the calculation of test statistic for two hypothesis testing problems . Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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