A student wishes to see if at her work place the proportion females who do not have children is different than the proportion of males who do not have children. To test her claim she randomly selects 372 females 69 did not have children. She then randomly selects 316 males workers and out of them 66 did not have children. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: Ho: PF PM HA PF PM(claim) Ho: PF > PM HA PF PM(claim) Ho: PF = PM HA: PF PM(claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 (round to 3 places) The p-value is: The test statistic is: The decision can be made to: O reject Ho do not reject Ho (round to 3 places) The final conclusion is that: O There is enough evidence to reject the claim that the proportion females who do not have children is different than the proportion of males who do not have children. There is not enough evidence to reject the claim that the proportion females who do not have children is different than the proportion of males who do not have children. There is enough evidence to support the claim that the proportion females who do not have children is different than the proportion of males who do not have children. There is not enough evidence to support the claim that the proportion females who do not have children is different than the proportion of males who do not have children.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A student wishes to see if at her work place the proportion females who do not have children is different
than the proportion of males who do not have children. To test her claim she randomly selects 372 females
69 did not have children. She then randomly selects 316 males workers and out of them 66 did not have
children. 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 > PM
HA PF
PM
Ho: PF
HA: PF
PM(claim)
Since the level of significance is 0.10 the critical value is 1.645 and -1.645
The test statistic is:
(round to 3 places)
The p-value is:
PM(claim)
=
The decision can be made to:
O reject Ho
O do not reject Ho
(round to 3 places)
The final conclusion is that:
O There is enough evidence to reject the claim that the proportion females who do not have children is
different than the proportion of males who do not have children.
There is not enough evidence to reject the claim that the proportion females who do not have
children is different than the proportion of males who do not have children.
O There is enough evidence to support the claim that the proportion females who do not have children
is different than the proportion of males who do not have children.
There is not enough evidence to support the claim that the proportion females who do not have
children is different than the proportion of males who do not have children.
Transcribed Image Text:A student wishes to see if at her work place the proportion females who do not have children is different than the proportion of males who do not have children. To test her claim she randomly selects 372 females 69 did not have children. She then randomly selects 316 males workers and out of them 66 did not have children. 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 > PM HA PF PM Ho: PF HA: PF PM(claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: PM(claim) = The decision can be made to: O reject Ho O do not reject Ho (round to 3 places) The final conclusion is that: O There is enough evidence to reject the claim that the proportion females who do not have children is different than the proportion of males who do not have children. There is not enough evidence to reject the claim that the proportion females who do not have children is different than the proportion of males who do not have children. O There is enough evidence to support the claim that the proportion females who do not have children is different than the proportion of males who do not have children. There is not enough evidence to support the claim that the proportion females who do not have children is different than the proportion of males who do not have children.
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