When games were randomly sampled throughout the season, it was found that the home team won 127 of 198 professional basketball games, and the home team won 57 of 99 professional football games.
a) Find a 95% confidence interval for the difference in the population proportions of home wins. Include the sample proportions, LaTeX: z_{\frac{\alpha}{2}}z α 2and standard error. b) Based on your results in part a) do you think there is a significant difference? Justify your answer; explain.
(a)
(b) Since the confidence interval contains 0, there is insufficient evidence to conclude that there is a significant difference between them.
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