The alternative hypothesis for an independent measures t test states

Asked by admin @ 05/11/2021 in Mathematics viewed by 278 People

A research report describing the results from a repeated-measures t test states that "t(22) = 1.71, p > .05."

From this report, what was the outcome of the hypothesis test?
a) Reject the null hypothesis with a sample of n = 23 participants
b) Fail to reject the null hypothesis with a sample of n = 23 participants
c) Reject the null hypothesis with a sample of n = 22 participants
d) Fail to reject the null hypothesis with a sample of n = 22 participants

Answered by admin @ 05/11/2021

Answer:

b) Fail to reject the null hypothesis with a sample of n = 23 participants

Step-by-step explanation:

Hello!

A "Repeated-measures t-test" is also known as "paired sample t-test" In this type of test you have only one sample and you measure two variables of interest to each experimental unit. Since both study variables are measured in the same units they are said to be dependent.

The most common example of this type of test is the "before-after treatment" experiment.

The degrees of freedom of this experiment are

, so if the test was conducted under a t₂₂ distribution, then the sample size was n= 23 experimental units. Remember if you use the p-value approach, to make a decision over the null hypothesis you have to compare it to the level of significance following the decision rule:

If the p-value ≤ α, you reject the null hypothesis.

If the p-value > α, you do not reject the null hypothesis.

In this example is specified that the p-value is greater than the level of significance, then the decision is to not reject the null hypothesis.

With all this in consideration, the correct option is b)

U hope you have a SUPER day!

The alternative hypothesis for an independent measures t test states

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