After a losing season there is a great uproar to fire the head football coach. In a random sample of 330 college alumni, 132 favor keeping the coach. Test at the .05 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: ? ?
H1: ? <
(b) State the decision rule for .05 significance level. (Round your answers to 2 decimal places.)
Reject H0 if z is <
(c) Compute the value of the test statistic. (Round your answers to 3 decimal places.)
Value of the test statistic?