A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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You wish to test the following claim (Ha) at a significance level of α=0.02.
Ho:p1=p2
Ha:p1<p2
You obtain 16.4% successes in a sample of size n1=427 from the first population. You obtain 25.5% successes in a sample of size n2=330 from the second population. For this test, you should NOT use the continuity correction, and you should use the
What is the test statistic for this sample? (Report answer accurate to two 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) α
- greater than α
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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