A May 2000 Gallup poll found that 38% of a random sample of 1012 adults in the United States said that they believe in ghosts. a. Construct and interpret a 96% confidence interval to estimate the true proportion of all U. S. adults who believe in ghosts. b. What sample size would have been necessary to estimate within 2% the true proportion of adults who believe in ghosts with 95% confidence?

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Q: Question 1

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Q: confidence interval for the true proportion

A: We have to find out the confidence interval for the true proportion.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.