Question

Information on a large packet of seeds indicates that the germination rate is p0=92%. Some researchers claim that the proportion of germination should be higher than that.

(a) (1 point) For testing this claim, what is the appropriate null hypothesis and alternative hypothesis?

(b) (2 points) Now 300 seeds are chosen randomly with 290 germinated to test this claim. Compute the test statistic and get the rejection region at the significance level α = 0.05.

(c) (2 points) Report the p value.

(d) (1 point) Given the significance level α = 0.05, make a conclusion about your test. Please interpret the conclusion.

(e) (1 point) Based on the conclusion you made in last step, what possible error could you make? Type I or Type II?

(f) (3 points) If the true germination rate p ∗ = 94%, what’s the power of the test?

Answer 1

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