Use the following information for questions:
A study compared weight loss among 5 different diet programs. A total sample size of 25 people was studied (5 people from each program) using one-way analysis of variance.
-The p-value of the F-test is 0.327. If the significance level = 0.05, what is the conclusion from the analysis of variance?
A) The null hypothesis is not rejected; the sample means are not significantly different.
B) The null hypothesis is not rejected; the sample means are significantly different.
C) The null hypothesis is rejected; the sample means are not significantly different.
D) The null hypothesis is rejected; the sample means are significantly different.

Question

Use the following information for questions:
 A study compared weight loss among 5 different diet programs. A total sample size of 25 people was studied (5 people from each program) using one-way analysis of variance.
-The p-value of the F-test is 0.327. If the significance level = 0.05, what is the conclusion from the analysis of variance?
A) The null hypothesis is not rejected; the sample means are not significantly different.
B) The null hypothesis is not rejected; the sample means are significantly different.
C) The null hypothesis is rejected; the sample means are not significantly different.
D) The null hypothesis is rejected; the sample means are significantly different.

Quizplus · Accepted Answer

Since the p-value (0.327) is greater than the significance level (0.05), we fail to reject the null hypothesis, indicating that there is not enough evidence to say the means are significantly different across the diet programs.

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