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An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision? a. Reject the null hypothesis with α = .05 but not with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. There is not enough information to make a statistical decision

Respuesta :

Considering the p-value of the f-ratio, it is found that the correct option is given by:

a. Reject the null hypothesis with α = .05 but not with α = .01.

What is the relation between the p-value and the test hypothesis?

Depends on if the p-value is less or more than the significance level:

  • If it is more, the null hypothesis is not rejected.
  • If it is less, it is rejected.

In this problem, the test statistic is of F = 4.60, with 4 x 7 = 28 df between treatments and 7 df in a single treatment, hence, using a calculator, the p-value is of 0.0218, which is less than 0.05 but more than 0.01, meaning that option A is correct.

More can be learned about p-values and hypothesis tests at https://brainly.com/question/26454209

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