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29 June, 16:18

A researcher conducts a repeated-measures study comparing two treatment conditions with a sample of n = 25 participants and obtains a t-statistic of t = 2.21. Which of the following is the correct decision for a two-tailed test?

A. Reject the null hypothesis with? =.05 but fail to reject with? =.01.

B. Reject the null hypothesis with either? =.05 or? =.01.

C. Fail to reject the null hypothesis with either? =.05 or? =.01.

D. cannot determine the correct decision without more information

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  1. 29 June, 16:27
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    Answer: A

    Step-by-step explanation:

    Since the number of samples, n is 25, we would determine the degree of freedom, df

    df = n - 1 = 25 - 1

    df = 24

    Given the test statistic = 2.21 and the test is a two-tailed test, we would determine the probability value using the t test calculator.

    At significant level of 0.05,

    P value = 0.037

    At significant level of 0.01,

    p value = 0.037

    The decision rule is that:

    We would reject the null hypothesis if significant level is > p value

    Therefore,

    A. Reject the null hypothesis with alpha = 0.05 but fail to reject with alpha = 0.01
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