Question

A. In a random sample of 50 games, the home team won 28 games and lost 22 games. Use StatKey to construct a 95% bootstrap confidence interval using the percentile method to estimate the proportion of all games won by the home team in the population. Take at least 5,000 resamples. Don’t forget to include a screenshot from StatKey and to identify your answer.

B. Interpret the meaning of the confidence interval constructed in part A by completing the phrase below.

I am 95% confident…

Answer 1

Answer:-

Given that:-

(A) A 95% boostrap C.I using the percentile method to estimate the proportion of all games won by the home team in the population

Statkey C.I for a proportion.

Generating 1000 samples.

original samples: 28 50 0.560

Bootstrap sample: 32 50 0.640

Confidence Interval is between 0.507 and 0.773

(b)The 95% confident that true proportion of all games won by the home team is between 0.507 and 0.773

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