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Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table)
H0: p1 - p2 = 0.20
HA: p1 - p2 ≠ 0.20
x1 = 166 x2 = 138 n1 = 272 n2 = 378
a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
b. Find the p-value.
-0.01 p-value < 0.025
-0.025 p-value < 0.05
-0.05 p-value < 0.10
-p-value 0.10
-p-value < 0.01c. At the 10% significance level, what is the conclusion?
-Reject H0; the difference between population proportions does not differ from 0.20.
-Do not reject H0; the difference between population proportions differs from 0.20.
-Reject H0; the difference between population proportions differs from 0.20.
-Do not reject H0; the difference between population proportions does not differ from 0.20.
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