3. (16) You are conducting a study and obtained the following regression equatio

Question

3. (16) You are conducting a study and obtained the following regression equation: (d) (8) Test the null hypothesis that R-Py = 0 versus the alternative R-Pr > 0 at the o.10 significanee level SST-1, 000 Test the null hypothesis S.-0 for i-1,2,3 against the alternative that at least significance level. 0 at the (e) (5) What is the p-value of the test statistie you calculsted in b)? Would you rejeet the null at a = .12? Would you reject the null at = .09 significance level? (f) (S) Test the null hypothesis that Pv-Bt = 0 versus the two-sided alternative at the =·10 signifieanoe level. (Hint: do you need to calculate a new test statistie?) 4. (25 points) You are conducting a study on the upcoming Democratic presidential primary, and want to know how Bernie Sanders' chances look in different states. You took a simple random sample of 157 voters in Vermont, and 112 of the voters indicated they would vote for Bernie Sanders. You also took a simple random sample of 133 voters in Mnine, and 81 indicated they would vote for Bernie Sanders Let Fv denote the population proportion of Bernie Sanders voters in Vermont, and Pu denote the population proportion of Bernie Sanders oters in Maine. (a)(1) What is fy (g)(2) What is the two-sided p-value of the test statistie? (b) (1) What is pu? (c) (3) What is po?

Explanation / Answer

3.

SSR = SST - SSE = 1000-375 = 625

Test statstic F = SSR / SSE = 625/375 = 1.6667

F critical value = 5.7394
Here F value < F critical value, so we accept H0
Thus All regression coefficients are equal to zero.

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