Question

Seventy-one successes were observed in a random sample of

n = 120

observations from a binomial population. You wish to show that

p > 0.5.

State the null and alternative hypothesis.

H₀: p ≠ 0.5 versus H_a: p = 0.5H₀: p < 0.5 versus H_a: p > 0.5     H₀: p = 0.5 versus H_a: p ≠ 0.5H₀: p = 0.5 versus H_a: p > 0.5H₀: p = 0.5 versus H_a: p < 0.5

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

z =

Provide an α = 0.05 rejection region. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

z> z<

State your conclusion.

H₀ is rejected. There is insufficient evidence to indicate that p is greater than 0.5.H₀ is not rejected. There is insufficient evidence to indicate that p is greater than 0.5.     H₀ is not rejected. There is sufficient evidence to indicate that p is greater than 0.5.H₀ is rejected. There is sufficient evidence to indicate that p is greater than 0.5.

Answer 1

Solution-

1) Hypothesis-

Ho : p = 0.5 versus Ha : p > 0.5

2) Test Statistic

Z = 2.01

3) Rejection Region

critical value = 1.64

Reject Ho if Z > 1.64

4) conclusion-

Ho is Rejected. There is sufficient evidence to indicate that p is greater than 0.5.

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◆ z test results and calculation-