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# After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 74 favor keeping the coach....

After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 74 favor keeping the coach. Test at the .01 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. (Round your answers to 2 decimal places.)

H0: π ≥
H1: π <

(b)
State the decision rule for .01 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Reject H0 if z is <

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

Value of the test statistic

(d)
Test at the .01 level of significance whether the proportion of alumni who support the coach is less than 50 percent.

(Choose one ) DO NOT REJECT or REJECT - H0. There is (Choose one) INSUFFICIENT or SUFFICIENT - evidence to conclude the population proportion
of alumni supporting the coach is less than .50.

After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 74 favor keeping the coach. Test at the .01 level of significance whether...

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