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A researcher plans a study in which a crucial step is offering participants a fo

ID: 3252726 • Letter: A

Question

A researcher plans a study in which a crucial step is offering participants a food reward. It is important th the three food rewards be equal in appeal. Thus, a pre-study s designed in which participants were asked which of the rewards they preferred. Of participants, 16 preferred cupcakes, preferred dy and 18 favored dried apricots Do these scores suggest that the different foods are differentially referred by people in gen (Use the .05 significance level. (10 points0 B) Conduct the five steps of hypothesis testing. l, medium, or large? D) What was found in this study? Interpret the results (similar to what you've done in your computer modules) E. Create the appropriate table of the results.

Explanation / Answer

Answer:

A).

Chi square Goodness of fit test is used.

B).

Ho: Foods are equally preferred

H1: Foods are not equally preferred

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

16

20.000

-4.000

0.800

26

20.000

6.000

1.800

18

20.000

-2.000

0.200

Total

60

60.000

2.800

2.80

chi-square

2

df

.2466

p-value

Calculated chi square =2.80 < 5.991 critical value at 0.05 level.

Ho is not rejected.

We conclude that Foods are equally preferred.

C). effect size = sqrt(2.80/60) =0.216

Effect size is medium.

D).

The study scores suggest that the different foods are not differently preferred by people in general.

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

16

20.000

-4.000

0.800

26

20.000

6.000

1.800

18

20.000

-2.000

0.200

Total

60

60.000

2.800

2.80

chi-square

2

df

.2466

p-value

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