Reference no: EM132495234

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.