Question: A recent Gallup poll consisted of 1012 randomly selected adults who were asked whether “cloning of humans should or should not be allowed.” Results showed that 89% of those surveyed indicated that cloning should not be allowed. We assume that people are indifferent so that 50% believe that cloning of humans should not be allowed. Based on the preceding results, we want to test the claim that an overwhelming majority of adults believe that cloning of humans should not be allowed.

a) State the null and alternative hypotheses.

b) Select the distribution to use. Explain briefly why you selected it.

c) Assuming that they wish to test the claim at ?=0.025, determine the rejection and non-rejection regions based on your hypotheses in a). State the critical value and the p-value.

d) Calculate the value of the test statistic.

e) Does the sample information support that the claim is false? Explain your conclusion in words.