Selecting a statistical test for a given research question For each of the scena

Question

Selecting a statistical test for a given research question
For each of the scenarios below:

Select the appropriate test for the given scenario from the following tests.
Correlation
Single-sample t test
Dependent-means (dependent-samples) t test
Independent-means (independent-samples) t test
Chi-square for goodness of fit
Chi-square for independence

A) A recent poll with a sample of 5000 voters show that presidential candidate A has the support of 2543 of the voters while candidate B has the support of 2457 voters. Research question: Do people prefer candidate A or are people evenly split in their support? (2 points total: .5 for variable name, .5 for variable type, 1 for test)

Dependent variable:
Variable type:
Test:

B) A middle school is assessing the potential benefit of implementing e-readers with a large collection of electronic books in the English classroom as a replacement for the usual collection of printed books. They designate one class as the e-book group and another class as the printed book group and then assess their performance on a test of reading comprehension after a whole semester. Research question: Does the e-book group perform differently from the printed-book group?

Dependent variable:
Variable type:
Test:

C) A social psychologist wonders if social media usage changes from adolescence to adulthood. He collects data from a large sample of high school students on the amount of time they spend on social media and then follows up with the same students 5 years later to collect data on their social media usage. Research question: Does social media usage change from adolescence to adulthood?

Dependent variable:
Variable type:
Test:

Explanation / Answer

(A) Dependent variable: Proportion of suporting voters

Variable type: numerical

Test: independent means (independent samples) t test

(B) Dependent variable: Difference in performane of e book group and printed book group

Variable type: numerical

Test: independent means (independent samples) t test

(C) Dependent variable: Difference in social media usage between adolescence and adulthood

Variable type: numerical (since it measured by time spent)

Test: Dependent means (dependent sampls) t test (since the same students are used)

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