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 289 items checked on English Air flights to North America contained 54 overweight items, and an independent, random sample of 297 items checked on English Air flights within Europe contained 32 overweight items. Based on these samples, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion p₁ of all items on English Air flights to North America that are overweight and the proportion p2 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 H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) H X 9 O S P ê OSO 020 00 O A M Esp 2
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 289 items checked on English Air flights to North America contained 54 overweight items, and an independent, random sample of 297 items checked on English Air flights within Europe contained 32 overweight items. Based on these samples, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion p₁ of all items on English Air flights to North America that are overweight and the proportion p2 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 H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) H X 9 O S P ê OSO 020 00 O A M Esp 2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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