Independent random samples of n1 = 120 and n2 = 120 observations were randomly selected from...
Independent random samples of n1 = 120 and n2 = 120 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 62 successes, and sample 2 had 67 successes. You wish to perform a hypothesis test to determine if there is a difference in the sample proportions p1 and p2.
(a) State the null and alternative hypotheses.
- H0: (p1 − p2) = 0 versus Ha: (p1 − p2) ≠ 0
- H0: (p1 − p2) = 0 versus Ha: (p1 − p2) > 0
- H0: (p1 − p2) ≠ 0 versus Ha: (p1 − p2) = 0
- H0: (p1 − p2) < 0 versus Ha: (p1 − p2) > 0
- H0: (p1 − p2) = 0 versus Ha: (p1 − p2) < 0
(b) Find the test statistic and rejection region, using the α = 0.10 level of significance. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic z = rejection region z > z <
(c) State your conclusion.
- H0 is not rejected. There is insufficient evidence to indicate that p1 is different from p2.
- H0 is not rejected. There is sufficient evidence to indicate that p1 is different from p2.
- H0 is rejected. There is sufficient evidence to indicate that p1 is different from p2.
- H0 is rejected. There is insufficient evidence to indicate that p1 is different from p2.
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