Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 288 items checked on English Air flights to the U.S. and Canada contained 34 overweight items, and an independent, random sample of 220 items checked on English Air flights within Europe contained 42 overweight items. Based on these samples, can we conclude, at the 0.10 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2)?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. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. (Round to three or more decimal places. c. Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) d. Can we conclude that the proportion of items which are overweight is different between the two types of English Air flights?
Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 288 items checked on English Air flights to the U.S. and Canada contained 34 overweight items, and an independent, random sample of 220 items checked on English Air flights within Europe contained 42 overweight items. Based on these samples, can we conclude, at the 0.10 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2)?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.
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. (Round to three or more decimal places.
c. Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
d. Can we conclude that the proportion of items which are overweight is different between the two types of English Air flights?
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