You are to test the following hypotheses: H₀: µ = 650
H_a: µ ≠ 650
A sample of size 20 produces a sample mean of 672, with a standard deviation of 42.The p-value for this two-tailed test is .0302.If the significance level set for the test is .05, we should

Question

You are to test the following hypotheses: H₀: µ = 650 H_a: µ ≠ 650 A sample of size 20 produces a sample mean of 672, with a standard deviation of 42.The p-value for this two-tailed test is .0302.If the significance level set for the test is .05, we should A)Reject the null hypothesis since $\alpha$ < p-value. B)Reject the null hypothesis since p-value < $\alpha$. C)not Reject the null hypothesis since $\alpha$ > p-value D)not Reject the null hypothesis since p-value > $\alpha$. E)Accept the null hypothesis since p-value < $\alpha$

Quizplus · Accepted Answer

The correct decision is to reject the null hypothesis since the p-value (.0302) is less than the significance level (.05). This indicates that the sample data provides enough evidence to conclude that the population mean is not equal to 650 at the 5% significance level.

You Are to Test the Following Hypotheses: H0: µ = α\alphaα

You Are to Test the Following Hypotheses: H₀: µ = $\alpha$