Gallop, a national polling organization, surveyed 1,018 randomly selectd American adults about their level of education and their beliefs about the theory of evolution. In their sample, 325 of the respondents had some college education and 228 were college graduates. among the 325 respondents with some college education, 133 said that they believed in the theory of evolutio n. Among the 228 respondents who were college graduates, 121 said they believed in the theory of evolution.
a) Verify that the sample size is large enough i each group to use the normal distribution to construct a confidence interval for a difference in proportions.
b) Construct a 90% confidence interval for the difference between the proportions of college graduates and individuals with some college who believe in the theory of evolution. Round you sample proportions and margin of error to three decimal places.
c) Test, at the 10% level, if there is evidence that the proportion of college graduates that believe in evolution differs significantly from the proportion of individuals with some college education that believe in evolution. Include all of the details of the test