Use the following information for the next 5 questions: A recent survey of 60 Indiana residents found that 39 were in favor of supporting marijuana legalization. Making the sample proportion of Indiana residents who favored marijuana legalization to be 65% ( = 0.65).

10. What is the 90% confidence interval? a. [0.571 ; 0.729] b. [0.548 ; 0.752] c. [0.194 ; 1.106] d. [0.645 ; 0.655]

11. Which of the following would decrease the width of the confidence intervals stated in question #10?

a. Instead finding the 99% confidence intervals b. Taking samples of size 70 instead of size 60 c. Finding a greater sample proportion d. Greater variance in support for marijuana legalization

12. Using the sample information from above, assume you want to test the hypothesis that the population proportion of Indiana residents who favored marijuana legalization is less than 0.75, what is the null and alternative hypothesis? a. 0: = 0.75; : 0.75 b. 0: 0.68; : < 0.68 c. 0: 0.75; : > 0.75 d. 0: 0.75; : < 0.75

13. Suppose the hypothesis test is the following: 0: = 0.5; : 0.50, what is the test statistic? a. -1.32 b. 2.32 c. -2.44 d. 4.65

14. Assume the test statistic found for the hypothesis test was -1.5, at what significance levels could you reject the following null hypothesis: 0: = 0.50; : 0.50 a. The 10% and 5% levels b. The 10% level only c. None of the levels d. The 10%, 5% and 1% levels

15. Suppose you take a survey 40 finance majors and build a 90% confidence interval for their starting salary, you also take a survey of 40 Political Science majors and find a 90% confidence interval for their starting salary. The two confidence intervals are as follows: Finance Majors: [$57,000 ; $61,000] Politcal Science Majors: [$50,000 ; $58,000] With 90% confidence can you say finance majors earn more than political science majors? And the reason why is because ______________. a. Yes ; The confidence intervals overlap b. Yes ; The confidence intervals do not overlap c. No ; The confidence intervals overlap d. No ; The confidence intervals do not overlap