English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of their overweight fees. Recently, a random sample of 233 items checked on English Air flights to North America contained 47 overweight items, and an independent, random sample of 264 items checked on English Air flights within Europe contained 30 overweight items. Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p, of all items on English Air flights to North America that are overweight and the proportion p, of all items on English Air flights within Europe that are overweight? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. |(Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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