please answer the questions below and show work

5. 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, z a/2 standard error and a sentence. b) Based on your results in part a) do you think there is a significant difference? Justify your answer; explain.

6.Speeding Tickets (The data is from a sample of randomly selected subjects.)

Gender	Yes	No	Row Total
Women	27	473
Men	26	224

Compute row totals. Test the claim that the percentage of women ticketed for speeding is less than the percentage of men at = 2%. State the hypotheses, find the proportions( including the pooled) then Z. Include a p-value sketch, state the p-value followed by your conclusion including a sentence.