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 279 items checked on English Air flights to North America contained 40 overweight items, and an independent, random sample of 291 items checked on English Air flights within Europe contained 53 overweight items. Based on these samples, can we conclude, at the 0.01 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 Ho and the alternative hypothesis H,. H P H : 0 X S H, : 1 (b) Determine the type of test statistic to use. (Choose one) 0=0 00 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0*0 00 0 X ? (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of items that are overweight is different between the two types of English Air flights? OYes ONo