In testing the hypotheses H₀: $\mu$ = 800 vs.H₁: $\mu$ $\neq$ 800,if the value of the test statistic equals 1.75,then the p-value is: A) 0.0401 B) 0.0802 C) 0.4599 D) 0.9599

Question

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We need to use a two-tailed test because the alternative hypothesis is not equal to the null hypothesis. Using a table or a calculator, we find that the corresponding p-value for a test statistic value of 1.75 is 0.0802. Therefore, we would fail to reject the null hypothesis at a significance level of 0.05 or 0.01, but we would reject it at a significance level of 0.10. Choice B is the only option that matches the p-value found.

In Testing the Hypotheses H0 μ\muμ = 800 VsH1 μ\muμ ≠\neq= 800,if the Value of the Test Statistic Equals 1

In Testing the Hypotheses H₀ $\mu$ = 800 VsH₁ $\mu$ $\neq$ 800,if the Value of the Test Statistic Equals 1