The mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample mean of 139.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. H0: μ = 140 mg vs. H1: μ ≠ 140 mg b. H0: μ ≤ 140 mg vs. H1: μ > 140 mg c. H0: μ ≥ 140 mg vs. H1: μ < 140 mg a b c (b) Assuming a known standard deviation of 2.00 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.) Test statistic (c) At the 10 percent level of significance (α = .10) does the sample contradict the manufacturer’s claim? Decision Rule: Reject H0 The sample the manufacturer's claim. (d) Find the p-value. (Round your answer to 4 decimal places.) p-value