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 text box below (NOT on your scratch work),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. Since you are only able to see one question at a time, it's recommended that you also jot these steps down somewhere you can use them for the next question That will be in the next question.

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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 text box below (NOT on your scratch work),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. Since you are only able to see one question at a time, it's recommended that you also jot these steps down somewhere you can use them for the next question

That will be in the next question.

Your list will have at least 6 steps. Your last steps will involve the hypothesis test.

 

 

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

 

 

Expert Solution
Step 1

Here, the responses for Clinton and Trump are independent.

Hence, we can use independent two sample t test.

Step 1:

Defining hypotheses.

Null hypothesis: The mean responses for Clinton and Trump are equal.

Alternative hypothesis: There is a difference between mean responses for Clinton and Trump.

 

Step 2:

Calculation of test statistic:

Assuming equal variances:

ttest=x¯1-x¯2spooled21n1+1n2  Here, spooled2=(n1-1)s12+(n2-1)s22n1+n2-2

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