To study the effectiveness of a certain adult reading program, researchers will select a random sample of adults who are eligible for the program. The selected adults will be given a pretest before beginning the program and a posttest after completing the program. The difference in the number of correct answers on the pretest and the number of correct answers on the posttest will be recorded for each adult in the sample. Which of the following is the most appropriate inference procedure for the researchers to use to analyze the results?a) A one-sample z-interval for a population proportion.b) A one-sample t-interval for a sample mean difference.c) A matched-pairs t-interval for a population mean difference.d) A matched-pairs t-interval for a sample mean difference.e) A two-sample t-interval for a difference between means.

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20-05-2020
Mathematics

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To study the effectiveness of a certain adult reading program, researchers will select a random sample of adults who are eligible for the program. The selected adults will be given a pretest before beginning the program and a posttest after completing the program. The difference in the number of correct answers on the pretest and the number of correct answers on the posttest will be recorded for each adult in the sample. Which of the following is the most appropriate inference procedure for the researchers to use to analyze the results?a) A one-sample z-interval for a population proportion.b) A one-sample t-interval for a sample mean difference.c) A matched-pairs t-interval for a population mean difference.d) A matched-pairs t-interval for a sample mean difference.e) A two-sample t-interval for a difference between means.

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kendrich kendrich · Answer 1 · 2020-05-22T02:48:54+02:00

kendrich kendrich

22-05-2020

Answer:

c) A matched-pairs t-interval for a population mean difference

Step-by-step explanation:

Matched-Pairs t-Test. A matched-pairs t-test is used to test whether there is a significant mean difference between two sets of paired data.

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astha8579 astha8579 · Answer 2 · 2022-01-12T13:50:24+01:00

A matched pair t test is used for comparison between means of two sets of paired data.

Thus, Option C: A matched-pairs t-interval for a population mean difference. is correct choice.

Given that:

The selected sample of people will have to give pretest and then training and then post-test and the difference in the scores is recorded.

The researches want to identify the resultant difference so as to identify the effectiveness of the program.

Explanation:

For such type of cases, we use matched pair t test.

A matched pair t test is used to see if there is significant difference between means of two sets of paired data.

By paired data, we mean the data in both set which is paired.

Since the person is same who gives pre and post test after training, thus the data is paired.

Also since the difference is to be analyzed to check the significance of the reading program, thus matched pair t test is perfect fit here.

Thus, option C: A matched pairs t-interval for a population mean difference is correct option.

Learn more about t-tests here:

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