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(c) It is wise to use a confidence interval to estimate the size of an effect rather than just giving a P-value. Give 95% confidence intervals for the difference between proportions of men's and women's businesses (men minus women) that fail for the settings of both (a) and (b). (Be sure to check that the conditions are met. If the conditions aren't met for one of the intervals, use the same type of interval for both) Interval for smaller samples: to Interval for larger samples: to What is the effect of larger samples on the confidence interval? Choose an effect.{2 points] Never forget that even small effects can be statistically signicant if the samples are large. To illustrate this fact. consider a sample of 6? small businesses. During a three-year period. B of the 5? headed by man and 2 of the 1D headed by women failed. {a} Find the proportions of failures for businesses headed by women and businesses headed by man. These sample proportions are quite close to each other. Glue the P-ualua for the test of the hypothesis that the same proportion of women's and men's businesses fall. {Use the two-sided alternative]. What can we conclude {Use a = (1.05]? The P-Iralue was so we conclude that Choose a conclusion. {b} Now suppose that the same sample proportion came from a sample 31'.) times as large. That Is. ED out of sec businesses headed by women and 241] out of 1?\") businesses headed by man fail. 'i.ier'if},lr that the proportions of failures are exactly the same as In part {a}. Flapaat the test for the new data. What can we conclude?l The P-Iralue was so we conclude that 1! Choose a conclusion