Question: Independent random samples of n₁ = 233 and n₂ = 312 are selected from two populations and used to test the hypothesis Ho: \({{\mu }_{1}}-{{\mu }_{2}}\) = 0 against the alternative

Ha: \({{\mu }_{1}}-{{\mu }_{2}}\) \(\ne \) 0.

a. The two-tailed p-value of the test is .1150. Interpret this result.

b. If the alternative hypothesis had been \({{\mu }_{1}}-{{\mu }_{2}}\) < 0, how would the p-value change? Interpret the p-value for this one-tailed test.