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 231 items checked on English Air flights to North America contained 44 overweight items, and an independent, random sample of 248 items checked on English Air flights within Europe contained 29 overweight items. Based on these samples, can we conclude, at the 0.10 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. Ho :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 two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and 0 (e) Can we conclude that the proportion of items that are overweight is different between the two types of English Air flights? O Yes O No F H Ix X 4 09 a X S ê 2 Р 0=0 OSO 020 0#0 O

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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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 231 items checked on English Air flights to North America contained 44 overweight items, and an independent, random sample of 248 items checked on English Air flights within Europe contained 29 overweight items.

Based on these samples, can we conclude, at the 0.10 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.)

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 231 items checked on English Air flights to North America contained 44 overweight items, and an independent,
random sample of 248 items checked on English Air flights within Europe contained 29 overweight items.
Based on these samples, can we conclude, at the 0.10 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.
Ho :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 two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
and
(e) Can we conclude that the proportion of items that are overweight is different between the two types
of English Air flights?
O Yes O No
μ
X
4
19
0=0
0*0
O
10
S
2
□ <ロ
Р
<Q
OSO ²0
S
00
O>O

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