You wish to test the following claim π1>π2 at a significance level of 0.002. Ho:π1=π2 Ha:π1>π2 You obtain 90.6% successes in a sample of size n1=415 from the first population. You obtain 83.8% successes in a sample of size n2=414 from the second population. Use the Theory-based inference applet to conduct this test of significance. (a) What is the z-score for this sample? z-score = (Report answer accurate to two decimal places.) (b) What is the p-value for this sample? p-value = (Report answer accurate to four decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to the following conclusion: we have statistically significant evidence to support the alternative hypothesis the null hypothesis is true the null hypothesis is plausible the alternative hypothesis is true (e) As such, the final conclusion is that... We conclude that the first population proportion is equal to the second population proportion. We conclude that the first population proportion is greater than the second population proportion. We have statistically significant evidence that the first population proportion is greater than the second population proportion. It is plausible that the first population proportion is equal to the second population proportion.

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

See similar textbooks

Related questions

Question

You wish to test the following claim π1>π2 at a significance level of 0.002.

Ho:π1=π2
Ha:π1>π2

You obtain 90.6% successes in a sample of size n1=415 from the first population. You obtain 83.8% successes in a sample of size n2=414

from the second population. Use the Theory-based inference applet to conduct this test of significance.

(a) What is the z-score for this sample?
z-score = (Report answer accurate to two decimal places.)

(b) What is the p-value for this sample?
p-value = (Report answer accurate to four decimal places.)

(c) The p-value is...

less than (or equal to) α

greater than α

(d) This p-value leads to the following conclusion:

we have statistically significant evidence to support the alternative hypothesis
the null hypothesis is true
the null hypothesis is plausible
the alternative hypothesis is true

(e) As such, the final conclusion is that...

We conclude that the first population proportion is equal to the second population proportion.
We conclude that the first population proportion is greater than the second population proportion.
We have statistically significant evidence that the first population proportion is greater than the second population proportion.
It is plausible that the first population proportion is equal to the second population proportion.

Expert Solution