In Exercises 31 and 32, check that the conditions for carrying out a one-sample z test for the population proportion p are met. SRS of 200 of the college's 15,000 living alumni to perform a test of Ho:p = 0.99 versus H: p < 0.99. 35. Home computers Refer to Exercise 31. In Jason's SRS, 41 of the students had a computer at home. 31. Home computers Jason reads a report that says 80% of U.S. high school students have a computer at home. He believes the proportion is smaller than 0.80 at his large rural high school. Jason chooses an SRS of 60 students and records whether they have a computer at home. pg 556 pg 555 (a) Calculate the test statistic. (b) Find the P-value using Table A or technology. Show this result as an area under a standard Normal curve. 36. Walking to school Refer to Exercise 32. For DeAnna's survey, 17 students in the sample said they typically walk to school. 32. Walking to school A recent report claimed that 13% of students typically walk to school.10 DeAnna thinks that the proportion is higher than 0.13 at her large elementary school, so she surveys a random sample of 100 students to find out. (a) Calculate the test statistic. (b) Find the P-value using Table A or technology. Show this result as an area under a standard Normal curve. In Exercises 33 and 34, explain why we aren't safe carrying out a one-sample z test for the population proportion p. 37. Significance tests A test of Ho:p = 0.5 versus H:p > 0.5 has test statistic z = 2.19. 33. No test You toss a coin 10 times to perform a test of Ho:p = 0.5 that the coin is balanced against H: p + 0.5. (a) What conclusion would you draw at the 5% signifi- cance level? At the 1% level? (b) If the alternative hypothesis were Ha:p # 0.5, what conclusion would you draw at the 5% significance 34. No test A college president says, "99% of the alumni support my firing of Coach Boggs." You contact an level? At the 1% level?