# Question: Consider the following competing hypotheses and accompanying sample data H0

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.

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.

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