I NEDD THE ANSWER WITH TI 84 You wish to test the following claim (Ha) at a sign
ID: 3364237 • Letter: I
Question
I NEDD THE ANSWER WITH TI 84
You wish to test the following claim (Ha) at a significance level of =0.002.
Ho:p1=p2
Ha:p1<p2
You obtain 87.7% successes in a sample of size n1=529 from the first population. You obtain 89% successes in a sample of size n2=653 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.)
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 = -0.687
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 463.933 529 554.47 623 -0.013 0.018930413 -0.68672564 0.2461Related Questions
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