Question

•Example: A national poll reported that 58% of those with Internet access have made purchases online. To investigate whether this percentage applies to its own state, a legislator commissions a study. A random sample of 400 state residents who have Internet access is taken. Of those 400 respondents, 215 said that they have made purchases online.

•a) What kind of data do we have here? Justify your answer or no credit will be given.

• b) Does this sample provide sufficient evidence to conclude that the state differs from the nation with respect to making purchases online? Test at the 5% level of significance. Be sure to include all steps of the hypothesis testing procedure.

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•c) Find the 95% confidence interval for the true proportion of on-line purchases.

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•d) Find the p-value and interpret.

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Answer 1