MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
You wish to test the following claim (H1) at a significance level of α=0.005.
Ho:p1=p2
H1:p1<p2
You obtain a sample from the first population with 87 successes and 668 failures. You obtain a sample from the second population with 81 successes and 410 failures.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.
- There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.
- The sample data support the claim that the first population proportion is less than the second population proportion.
- There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.
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