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 205 female factory workers and out of them 52 could not speak English. She then randomly selects 349 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 НА: PF < рм(claim) O Ho:PF = PM На: РF + Pм(claim) Since the level of significance is 0.05 the critical value is -1.645 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.
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 205 female factory workers and out of them 52 could not speak English. She then randomly selects 349 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 НА: PF < рм(claim) O Ho:PF = PM На: РF + Pм(claim) Since the level of significance is 0.05 the critical value is -1.645 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 205 female factory workers and out of them 52 could not speak English. She
then randomly selects 349 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: Pr < рм(claim)
O Ho:PF = PM
НА: PF + рм(claim)
Since the level of significance is 0.05 the critical value is -1.645
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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