Let p1 denote the proportion of ault males in Australia that smoke and let p2 denote the proportion adult females in Australia that smoke. A simple random sample of 1535 individuals were randomly selected from adult male population in Australia and it was found that 352 of them smoked. A simple random sample of 1521 individuals were randomly selected from adult female population in Australia and it was found that 301 of them smoked. Researchers want to test, at the 5% level of significance, the null hypothesis H0: p1-p2=0.03 vs the alternative hypothesis Ha:p1-p2<0.03. Suppose the assumptions to this hypothesis are satisifed d)what is the observed test statistic for this hypthosis test? e) What is the p-value for this hypothesis test f) What is the correct explanation for this hypothesis test? Since the p-value is greater than the level of significance we reject H0 at the 5% level of significance Since the p-value is less than the level of significance we do not reject H0 at the 5% level of significance Since the p-value is greater than the level of significance we do not reject H0 at the 5% level of significance Since the p-value is less than the level of significance we reject H0 at the 5% level of significance

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
icon
Related questions
Question

Let p1 denote the proportion of ault males in Australia that smoke and let p2 denote the proportion adult females in Australia that smoke. A simple random sample of 1535 individuals were randomly selected from adult male population in Australia and it was found that 352 of them smoked. A simple random sample of 1521 individuals were randomly selected from adult female population in Australia and it was found that 301 of them smoked. Researchers want to test, at the 5% level of significance, the null hypothesis H0: p1-p2=0.03 vs the alternative hypothesis Ha:p1-p2<0.03. Suppose the assumptions to this hypothesis are satisifed

d)what is the observed test statistic for this hypthosis test?

e) What is the p-value for this hypothesis test

f) What is the correct explanation for this hypothesis test?

Since the p-value is greater than the level of significance we reject H0 at the 5% level of significance

Since the p-value is less than the level of significance we do not reject H0 at the 5% level of significance

Since the p-value is greater than the level of significance we do not reject H0 at the 5% level of significance

Since the p-value is less than the level of significance we reject H0 at the 5% level of significance

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning