You wish to test the following claim (Ha ) at a significance level of =0.001 . H
ID: 3356281 • Letter: Y
Question
You wish to test the following claim (Ha ) at a significance level of =0.001 .
Ho:p1=p2
Ha:p1>p2
You obtain 196 successes in a sample of size n1=283 from the first population. You obtain 406 successes in a sample of size n2=636 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.
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 =
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Hence,
Test statistic = 1.596
p - value = 0.0552
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 196 283 406 636 0.054214725 0.033966308 1.5961324 0.0552Related Questions
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