Explain why we can\'t use the z test for a proportion in the following situation

Question

Explain why we can't use the z test for a proportion in the following situations: You toss a coin 14 times in order to test the hypothesis H_0: rho = 0.5 that the coin is balanced. The sample size 14 is too large. The sample size 14 is too small. We cannot be certain that the coin is balanced A college president says, "99% of the alumni support my firing of Coach Boggs."You contact an SRS of 500 of the college's 15,000 living alumni to test the hypothesis H0: p = 0.99. The sample size 500 is too large. The expected number of "no responses is too small: n(1 - p0) = 500(0.01) = 5. The sample size 500 is too small.

Explanation / Answer

1) The sample size 14 is too small

2) The expected number of 'no' responses is too small

expected 'no' is 0.01*500=5

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