8 A student pursuing a degree in English as a second language believes the proportion of 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 α=0.05 to see if she was right. The correct hypotheses are:- $ H_0 : p_F = p_M $- $ H_A : p_F \neq p_M $ (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:- $ \circ $ reject $ H_0 $- $ \circ $ do not reject $ H_0 $The final conclusion is that:- $ \circ $ There is enough evidence to reject the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.- $ \circ $ There is not enough evidence to reject the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.- $ \circ $ There is enough evidence to support the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.- $ \circ $ There is not enough evidence to support the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.

Name: 8 A student pursuing a degree in English as a second language believes
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Description: 8 A student pursuing a degree in English as a second language believes the proportion of 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 s

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Probability

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)

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)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A student pursuing a degree in English as a second language believes the proportion of 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 α=0.05 to see if she was right. The correct hypotheses are:

- $ H_0 : p_F = p_M $
- $ H_A : p_F \neq p_M $ (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:

- $ \circ $ reject $ H_0 $
- $ \circ $ do not reject $ H_0 $

The final conclusion is that:

- $ \circ $ There is enough evidence to reject the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.

- $ \circ $ There is not enough evidence to reject the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.

- $ \circ $ There is enough evidence to support the claim that the proportion of female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English.

- $ \circ $ There is not enough evidence to support the claim that the proportion of 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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