Question

James Holzhauer won 32 straight Jeopardy games, and of the 1222 questions he attempted to answer during his run, he answered 1186 of them correctly.

Use this data to construct a 95% confidence interval for p, the proportion of correct answers by Holzhauer _____________ to _______________

To obtain a margin of error of 2% at the 95% confidence level, we would like to know how many questions would need to be sampled. The critical value needed is ____________

The sample size needed would be_______________ .  (assume .971 is a reasonable estimate for p)

Answer 1

....................the proportion of correct answers by Holzhauer 0.962 to 0.980

To obtain a margin of error of 2% at the 95% confidence level, we would like to know how many questions would need to be sampled. The critical value needed is 1.96

The sample size needed would be 270.