A student pursuing a degree in English as a second language believes the proportion female factory worke who can't speak English is less than the proportion of male factory workers who can't speak English. To tes her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. Sh then randomly selects 400 male factory workers and out of them 43 could not speak English. Test her clai 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(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places)

College Algebra
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Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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 less than the proportion of male factory workers who can't speak English. To test
her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. She
then randomly selects 400 male factory workers and out of them 43 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: Pr > Рм (сclaim)
O Ho:PF 2 PM
HA:PF < PM(claim)
O Ho:PF = pM
HA:PF + PM(claim)
Since the level of significance is 0.10 the critical value is -1.282
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
O do not reject Ho
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 less than the proportion of male factory workers who can't speak English.
O There is not enough evidence to reject the claim that the proportion female factory workers who
can't speak English is less 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 less than the proportion of male factory workers who can't speak English.
O There is not enough evidence to support the claim that the proportion female factory workers who
can't speak English is less 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 less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. She then randomly selects 400 male factory workers and out of them 43 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: Pr > Рм (сclaim) O Ho:PF 2 PM HA:PF < PM(claim) O Ho:PF = pM HA:PF + PM(claim) Since the level of significance is 0.10 the critical value is -1.282 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 O do not reject Ho 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 less than the proportion of male factory workers who can't speak English. O There is not enough evidence to reject the claim that the proportion female factory workers who can't speak English is less 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 less than the proportion of male factory workers who can't speak English. O There is not enough evidence to support the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English.
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