Question

Let's talk that scenario and work with some fictional data from it: Let's imagine there was a question on the survey that asks "On average, how many times a day do you worry about COVID-19, either for yourself, family, or community? Below is some data for 10 respondents.  In the space below,describe all of the steps you would use to calculate the appropriate type of t-test (independent or paired samples), given we want to compare Trump voters to Clinton voters. For this question, just list the steps - do not do any calculations. That will be in the next question.

Your list will have at least 6 steps. Just get as far as the t-statistic; no need to describe hypothesis testing steps in this problem.

Number of times worry per day	Voted for in 2016 1= Clinton 2 = Trump
4	1
2	1
14	1
3	1
0	1
3	2
5	2
0	2
3	2
6	2

Using the COVID-19 worry data and political party data directly above, go ahead and conduct the appropriate type of t-test, using the steps you've listed in your response above. When you have calculated the t-statistic, use your table of critical values of t, with the p value criteria (alpha) of .05 to conduct your hypothesis test, State your conclusion in a complete sentence(s), and in the language of hypothesis testing. To help you along (and to check your work): Among Clinton voters, the mean worry score is 4.60, and the standard deviation is 5.46

Answer 1

Let the population mean number of times a Clinton voter worries about COVID be denoted by and the population mean number of times a Trump voter worries about COVID be denoted by

Here we are to test

The given data is summarized as follows:

	Clinton-voters	Trump-voters
Sample size	n1=5	n2=5
Sample mean	=4.60	=3.4
Sample SD	s1=5.46	s2=2.30

The test statistic is given by

where s' is given by

So,

The test statistic follows t distribution with df 8

The p-value is obtained as 0.662651

As the p-value is more than 0.05, we fail to reject the null hypothesis at 5% level of significance and hence conclude that the worry for COVID does not significantly differ with the difference in political views at 5% level of significance.

Hopefully this will help you. In case of any query, do comment. If you are satisfied with the answer, give it a like. Thanks.