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 Ho 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.) μ X O S 00 ロロ D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 p of all items on English Air flights within Europe that are overweight?
4
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 H₁.
0
H :O
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.)
0
(d) Find the p-value. (Round to three or more decimal places.)
72°F
Mostly cloudy
Explanation
HD 144Hz
Check
O Search
51
μ
|x
7
0=0
□□
X
O
S
OSO
□<口
14
Ś
Р
<a
3
NO
>O
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
E
Transcribed Image Text: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 p of all items on English Air flights within Europe that are overweight? 4 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 H₁. 0 H :O 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.) 0 (d) Find the p-value. (Round to three or more decimal places.) 72°F Mostly cloudy Explanation HD 144Hz Check O Search 51 μ |x 7 0=0 □□ X O S OSO □<口 14 Ś Р <a 3 NO >O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center E
Carry your intermediate computations to three or more decimal places and round your answers as specified in the pa
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H :O
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.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the proportion of items that are overweight is different
between the two types of English Air flights?
O Yes No
Explanation
Check
μ
X
b
O
X
S
0=0 ☐≤O
D>
00
☐☐
□ロ 0<0 ☐☐
Ś
Ⓒ2022 M
Transcribed Image Text:Carry your intermediate computations to three or more decimal places and round your answers as specified in the pa formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H :O 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.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of items that are overweight is different between the two types of English Air flights? O Yes No Explanation Check μ X b O X S 0=0 ☐≤O D> 00 ☐☐ □ロ 0<0 ☐☐ Ś Ⓒ2022 M
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