Please solve and please show all steps done to derive answer. Thank You. A Harri
ID: 3156593 • Letter: P
Question
Please solve and please show all steps done to derive answer. Thank You. A Harris Poll asked 1250 U.S adults their views on banning handgun sales. Of those sampled,650 favor a ban. At a 5% significance level do the data provide sufficient evidence to conclude that a majority(more than 50%) of U.S adults favor banning handgun sales? Please solve and please show all steps done to derive answer. Thank You. A Harris Poll asked 1250 U.S adults their views on banning handgun sales. Of those sampled,650 favor a ban. At a 5% significance level do the data provide sufficient evidence to conclude that a majority(more than 50%) of U.S adults favor banning handgun sales? A Harris Poll asked 1250 U.S adults their views on banning handgun sales. Of those sampled,650 favor a ban. At a 5% significance level do the data provide sufficient evidence to conclude that a majority(more than 50%) of U.S adults favor banning handgun sales?Explanation / Answer
Solution :
Let pi be the population percentage of U.S. adults who favor banning handgun sales.
Null Hypothesis pi = 50%, Alternative Hypothesis pi > 50%, alpha = 5% Note: 650/1250 = 0.52 = 52% and SE% = sqrt[(0.50)(1- 0.50)]/sqrt[1250] = 0.014
Test statistic Z = {OBS – EXP}/SE = {0.52 - 0.50}/0.014 = 1.414
P-value: Pr(Z > 1.414) = 0.0786 (using calculator)
Reject the Null Detailed conclusion: There is insufficient evidence (P-value = 7.86% > 5%) to conclude that more than 50% of the population favors a ban of handgun sales.