You wish to test the following claim ( Ha) at a significance level of = 0.02 . H
ID: 3315579 • Letter: Y
Question
You wish to test the following claim ( Ha) at a significance level of = 0.02 . H o : p 1 = p 2 H a : p 1 > p 2 You obtain a sample from the first population with 560 successes and 98 failures. You obtain a sample from the second population with 241 successes and 68 failures. 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 = -3.431635673 Incorrect What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = .9996 Incorrect
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 = 2.735
p - Value = 0.0031
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 560 658 241 309 0.071128555 0.02600548 2.7351371 0.0031Related Questions
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