Explain how to perform a​ two-sample t-test for the difference between two population means. Which explanation below best describes how to perform the​ two-sample t-test?
A. State the hypotheses and identify the claim. Specify the level of significance. Determine the degrees of freedom. Find the critical​ value(s) and identify the rejection​ region(s). Find the standardized test statistic. Make a decision and interpret it in the context of the original claim.
B. Find the critical​ value(s) and identify the rejection​region(s). Specify the level of significance. State the hypotheses and identify the claim. Determine the degrees of freedom. Make a decision and interpret it in the context of the original claim. Find the standardized test statistic.
C. Find the standardized test statistic. State the hypotheses and identify the claim. Specify the level of significance. Determine the degrees of freedom. Find the critical​ value(s) and identify the rejection​ region(s). Make a decision and interpret it in the context of the original claim.
D. Determine the degrees of freedom. Specify the level of significance. State the hypotheses and identify the claim. Find the critical​ value(s) and identify the rejection​ region(s). Find the standardized test statistic. Make a decision and interpret it in the context of the original claim.

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Answer:

Option A is correct

Step-by-step explanation:

- In carrying out a two sample t-test, we must first of all state the null and alternative hypothesis and identify the claim.

- The next thing we will do is to identify the level of significance of the test. It's usually denoted as α.

- The next step would be to find the critical values and identify the rejection region. The critical value is the value that a test statistic must exceed that will make the the null hypothesis to be rejected. This will enable us find out the region where we can reject the null hypothesis.

-The next step is to find the standardized test statistic which is the t-score..

- Next step would be to make a decision on the claim from when the p-value from the t-score is compared with the level of significance and checked with the rejection region.

The only option that follows this order is option A

Option A is the correct option

T-test:

The t-test is any statistical hypothesis test in which the test statistic follows a Student’s t-distribution under the null hypothesis.

For the test first state, a hypothesis then identifies the claims specify the provision of a level of significance calculated the degree of freedom .

Then statistics find the rejection region find standardized statistics and finally, interpret the claim

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