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About 778000 male and 886000 female high school students took the SAT in 2012. We suspect the proportion Pm of men with scores above 520 on the SAT writing tests is lower than the the proportion pf of women with scores above 520 on the SAT writing tests. So we take as our null hypothesis that pm =Pf and as our alternative hypothesis Pm

About 778000 male and 886000 female high school students took the SAT in 2012. We suspect the proportion Pm of men with scores above 520 on the SAT writing tests is lower than the the proportion pf of women with scores above 520 on the SAT writing tests. So we take as our null hypothesis that pm =Pf and as our alternative hypothesis Pm

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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About 778000 male and 886000 female high school students took the SAT in 2012. We suspect the proportion Pm of men with scores above 520 on the SAT writing tests is lower than the the proportion p , of women with scores above 520 on the SAT writing tests. So we take as our null hypothesis that pm =Pf and as our alternative hypothesis Pm <Pf. We decide to test this at level of significance 0.05. We sample 1496 males and find 549 have writing scores above 520. We also sample 1704 females and find 696 have writing scores above 520. Nm- Nf nm= n = Pm The pooled estimate is %3D a = The critical number is The value of the test statistic (Pm-Pp/Vp*(1-p)*(1/n,+1/n) is TS = The P-value is P= (Give P to four decimal places)
Transcribed Image Text:About 778000 male and 886000 female high school students took the SAT in 2012. We suspect the proportion Pm of men with scores above 520 on the SAT writing tests is lower than the the proportion p , of women with scores above 520 on the SAT writing tests. So we take as our null hypothesis that pm =Pf and as our alternative hypothesis Pm <Pf. We decide to test this at level of significance 0.05. We sample 1496 males and find 549 have writing scores above 520. We also sample 1704 females and find 696 have writing scores above 520. Nm- Nf nm= n = Pm The pooled estimate is %3D a = The critical number is The value of the test statistic (Pm-Pp/Vp*(1-p)*(1/n,+1/n) is TS = The P-value is P= (Give P to four decimal places)
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