A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 287 female factory workers and out of them 64 could not speak English. She then randomly selects 371 male factory workers and out of them 56 could not speak English. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: O Ho:PF < PM HA:PF > PM(claim) O Ho:PF 2 PM HA:PF < PM(claim) O Ho:PF = PM HA:PF # PM(Cclaim)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A student pursuing a degree in English as a second language believes the proportion female factory workers
who can't speak English is different than the proportion of male factory workers who can't speak English. To
test her claim she randomly selects 287 female factory workers and out of them 64 could not speak English.
She then randomly selects 371 male factory workers and out of them 56 could not speak English. Test her
claim at a=0.05 to see if she was right. The correct hypotheses are:
O Ho:PF < PM
НА: Рr > Рм(claim)
O Ho:PF 2 PM
НА: Рr <Рм(claim)
O Ho:PF = PM
НА: PF + рм(claim)
-
Since the level of significance is 0.01 the critical value is 2.576 and -2.576
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
do not reject Họ
The final conclusion is that:
O There is enough evidence to reject the claim that the proportion female factory workers who can't
speak English is different than the proportion of male factory workers who can't speak English.
There is not enough evidence to reject the claim that the proportion female factory workers who
can't speak English is different than the proportion of male factory workers who can't speak English.
O There is enough evidence to support the claim that the proportion female factory workers who can't
speak English is different than the proportion of male factory workers who can't speak English.
There is not enough evidence to support the claim that the proportion female factory workers who
can't speak English is different than the proportion of male factory workers who can't speak English.
Transcribed Image Text:A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 287 female factory workers and out of them 64 could not speak English. She then randomly selects 371 male factory workers and out of them 56 could not speak English. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: O Ho:PF < PM НА: Рr > Рм(claim) O Ho:PF 2 PM НА: Рr <Рм(claim) O Ho:PF = PM НА: PF + рм(claim) - Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho do not reject Họ The final conclusion is that: O There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. There is not enough evidence to reject the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. O There is enough evidence to support the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. There is not enough evidence to support the claim that the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.
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