In this exercise we examine the effect of the sample size on the significance te
ID: 3339514 • Letter: I
Question
In this exercise we examine the effect of the sample size on the significance test for comparing two proportions. In each case suppose that p1 = 0.65 and p2 = 0.45, and take n to be the common value of n1 and n2. Use the z statistic to test H0: p1 = p2 versus the alternative Ha: p1 p2. Compute the statistic and the associated P-value for the following values of n: 50, 60, 70, 90, 390, 490, and 990. Summarize the results in a table. (Test the difference p1 p2. Round your values for z to two decimal places and round your P-values to four decimal places.)
Explain what you observe about the effect of the sample size on statistical significance when the sample proportions p1 and p2 are unchanged.
As sample size increases, the test becomes less significant.
As sample size increases, the test becomes more significant.
As sample size increases, there is no effect on significance.
There is not enough information.
n z P-value 50 60 70 90 390 490 990Explanation / Answer
As sample size increases, the test becomes less significant.
n Z P value 50 2.01 0.0444 60 2.20 0.0278 70 2.38 0.0173 90 2.70 0.0069 390 5.61 0 490 6.29 0 990 8.94 0Related Questions
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