Consider the following competing hypotheses and accompanying sample data.
H0: - = 0
HA: - ≠ 0
x1 = 100 x2 = 172
n1 = 250 n2 = 400
a. Calculate the value of the test statistic.
b. Calculate the p-value.
c. At the 5% significance level, what is the conclusion to the test? Do the population proportions differ?
d. Repeat the analysis with the critical value approach.