After a losing season, there is a great uproar to fire the head football coach.

Question

After a losing season, there is a great uproar to fire the head football coach. In a random sample of 220 college alumni, 99 favor keeping the coach. Test at the .02 level of significance whether the proportion of alumni who support the coach is less than 50 percent.

A. State the null hypothesis and the alternate hypothesis.

B. State the decision rule for .02 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

C.Compute the value of the test statistic. (Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)

D. Test at the .02 level of significance whether the proportion of alumni who support the coach is less than 50 percent.

Explanation / Answer

H0: ? ? 0.50
H1: ? < 0.50

Reject H0 if z is < -1.64

Value of the test statistic: -2.828

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