Question

0.00584 < 0.05 the ho is accepted
for a t - test run at a 5% significance level, select the correct conclusion
0.00584 < 0.05 the ho is rejected

Explanation:

Step1: Understand the significance level rule

In hypothesis testing, if the p - value ($0.00584$) is less than the significance level ($\alpha = 0.05$), we reject the null hypothesis ($H_0$).

Step2: Analyze the given statements

The first statement "0.00584 < 0.05 the $H_0$ is accepted" is incorrect because when $p - value<\alpha$, we reject $H_0$. The second statement "0.00584 < 0.05 the $H_0$ is rejected" is correct according to the hypothesis - testing rule.

Answer:

The correct conclusion is "0.00584 < 0.05 the $H_0$ is rejected".