Question

In hopes of improving Mrs. Puppet’s image as a candidate for mayor, her campaign manager Mr....

In hopes of improving Mrs. Puppet’s image as a candidate for mayor, her campaign manager Mr. Strings created a commercial. Before airing the commercial, he hires your consulting firm to determine if the commercial would actually improve voters’ attitudes toward Mrs. Puppet. As a first step, your firm conducts a very small pilot study to help those who will collect the data to understand the experimental procedures. The firm wants to make sure the experimental procedures are well understood before it doles out all the cash needed for the large study. The firm obtains a sample of 10 undecided voters to participate in the study. First, each voter rated their current feelings toward Mrs. Puppet by answering several questions such as the following:

1-Definitely would not vote for her                       9-Definitely would vote for her                     

  1 2 3    4    5    6    7    8    9

Then, all participants watched the commercial and answered all of the preceding questions a second time. Obviously, if the commercial works, approval ratings should be higher after voters view the commercial.

  1. What are the null and alternative hypotheses?
  2. What is the one-tailed critical t value for this study?
  3. Using the table on the next page, complete a paired samples t-test by hand for the data.

Should you reject the null hypothesis or not?

            t =                                df =                                         p =

  1. Calculate Cohen’s d. How big is the effect?

Previewing

Postviewing

Difference (D)

4

5

3

5

3

4

5

5

4

6

4

5

6

7

2

3

4

4

5

7

Mpre = 4.00

SDpre = 1.15

Mpost = 5.10

SDpost = 1.29

Mdifference =

SDdifference =

Homework Answers

Answer #1

The hypothesis being tested is:

H0: µd = 0

Ha: µd < 0

Previewing Postviewing Difference (D)
4 5 -1
3 5 -2
3 4 -1
5 5 0
4 6 -2
4 5 -1
6 7 -1
2 3 -1
4 4 0
5 7 -2
Mdifference = -1.100
SDdifference = 0.738
4.000 mean Previewing
5.100 mean Postviewing
-1.100 mean difference (Previewing - Postviewing)
0.738 std. dev.
0.233 std. error
10 n
9 df
-4.714 t
.0005 p-value (one-tailed, lower)

The one-tailed critical t value for this study is 2.685.

t = -4.714 df = 9 p = 0.0005

The p-value is 0.0005.

Since the p-value (0.0005) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the commercial works, approval ratings should be higher after voters view the commercial.

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