Answer Happy

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 α=0.05 to see if she was right. The correct hypotheses are: H0​:pF​≤pM​HA​:pF​>pM​( claim )H0​:pF​≥pM​HA​:pF​<pM​( claim )H0​:pF​=pM​HΛ​: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: (round to 3 places) The decision can be made to: reject H0​ do not reject H0​ The final conclusion is that: 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 chidren.