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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 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF < PM HA: PF > Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: 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. 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. 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. 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 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF < PM HA: PF > Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: 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. 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. 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF < PM HA: PF > Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: 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. 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. 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. 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 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF < PM HA: PF > Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: 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. 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. 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. 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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