Question

In May 2012, President Obama made history by revealing his support of homosexual marriage. Around that time, the Gallup Organization polled 1,024 U.S. adults about their opinions on homosexual relations and homosexual marriage. They found that 54% of those sampled viewed homosexual relations as "morally acceptable" and that 50% felt that homosexual marriage should be legal.

a) A 90% confidence interval for the proportion of American adults who support homosexual marriage is (0.475, 0.524). Does this confidence interval provide evidence that the percentage of American adults who support homosexual marriage differs from 50%? Briefly justify your answer and state the significance level you are using.

b) Does this sample provide evidence that the majority of Americans find homosexual relations "morally acceptable"? Describe how you could generate a single randomization sample in this situation, and identify the statistic that you would calculate for each sample.

c) Use technology to determine if this sample provides evidence that the majority of Americans find homosexual relations "morally acceptable". Be sure to state the hypotheses, give the p-value, and clearly state the conclusion in context. Include an assessment of the strength of the evidence.

Answer 1