a. Estimate the population proportion who would answer (a yes b. Find the margin of error for a 95% confidence interval for this estimate. 8.20 B 22 c. Find a 95% confidence interval for that proportion and interpret. d. State and check the assumptions needed for the interval in part c to be valid. 7p in fo Make industry help environment? When the 2006 GSS asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment (variable GRNLAWS), 1403 of 1497 subjects said yes. 8.15 ta ca CC a. What assumptions are made to construct a 95% confidence interval for the population proportion who would say yes? Do they seem satisfied here? b. Construct the 95% confidence interval. Interpret in context. Can you conclude whether a majority or minority of the population would answer yes? 8.16 Favor death penalty In the 2012 General Social Survey, respondents were asked whether they favored or opposed the death penalty for people convicted of murder. Software shows results Sample p Sample 95% CI X 4www.ha 0.648575 (0.626665, 0.670484) 1824 1 1183 Beliefs_12 8E tervals 8.21 Stem was s CS Harr the s Here, X refers to the number of the respondents who as R n ssia were in favor. a. Show how to obtain the value reported under "Sample p. b. Interpret the confidence interval reported, in context peo scre If inte the e hov се c. Explain what the "95% confidence" refers to. by describing the long-run interpretation. ased p. d. Can you conclude that more than half of all American adults were in favor? Why? 8.17 Oppose death penalty Refer to the previous exercise. TRY Show how you can get a 95% confidence interval for the proportion of American adults who were opposed to the death penalty from the confidence interval stated in the previous exercise for the proportion in favor. (Hint: proportion opposed is 1 minus the proportion in lav 8.18 Stem cell research A Harris poll of a random sample of 2113 adults in the United States in October 2010 reported that 72% of those polled believe that stem cell research has merit. (Source: www.harrisinteractive.com/vault/ Harris-Interactive-Poll-HealthDay-2010-10.pdl./ results, presented using MINITAB software, are in cine gs. ts on el- 8.22 The ation X N Sample p 95% CI 1521 2.1.1.3 7007, 0.7390