7. Let n1 = 80, X1 = 50, n2 = 80, and X2 = 70. Complete parts (a) and (b) below.
a. At the 0.10 level of significance, is there evidence of a significant difference between the two population proportions?
Determine the null and alternative hypotheses. Choose the correct answer below.
A. H0: π1 ≤ π2
H1: π1 > π2
B. H0: π1 = π2
H1: π1 ≠ π2
C. H0: π1 ≥ π2
H1: π1 < π2
D. H0: π1 ≠ π2
H1: π1 = π2
Calculate the test statistic, ZSTAT, based on the difference p1 - p2.
The test statistic, ZSTAT, is ________.
(Type an integer or a decimal. Round to two decimal places as needed.)
Calculate the p-value.
The p-value is ________.
(Type an integer or a decimal. Round to three decimal places as needed.)
Determine a conclusion. Choose the correct answer below.
(1) ________ the null hypothesis. There is (2) ________ evidence to support the claim that there is a significant difference between the two population proportions.
b. Construct a 90% confidence interval estimate of the difference between the two population proportions.
________ ≤ π1 - π2 ≤ ________
(Type integers or decimals. Round to four decimal places as needed.)
(1) Do not reject
Reject
(2) sufficient
insufficient