health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children are used for the experiment. First, a baseline of the number of times the children brush their teeth over a month's period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded.   Subject 1 2 3 4 5 6 7 8 After film 28 29 25 30 25 27 28 24 Baseline 25 28 22 30 26 24 25 22   18. Refer to Case Study 14-2. Using α = 0.052 tail, what do you conclude? a. retain H0; the film has no effect on the frequency of tooth brushing b. reject H0; the film affects the frequency of tooth brushing c. accept H0; the film has no effect on the frequency of tooth brushing d. reject H0; chance alone is a reasonable explanation of the data

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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Case Study 14-2

A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children are used for the experiment. First, a baseline of the number of times the children brush their teeth over a month's period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded.

 

Subject

1

2

3

4

5

6

7

8

After film

28

29

25

30

25

27

28

24

Baseline

25

28

22

30

26

24

25

22

 

18. Refer to Case Study 14-2. Using α = 0.052 tail, what do you conclude?

a.

retain H0; the film has no effect on the frequency of tooth brushing

b.

reject H0; the film affects the frequency of tooth brushing

c.

accept H0; the film has no effect on the frequency of tooth brushing

d.

reject H0; chance alone is a reasonable explanation of the data

 

 

19. (3 points) Calculate an effect size measure for Cohen’s d for the data in Case Study 14-2.

Use the standard deviation from the baseline measure for your calculations.

 

  • In this equation the numerator is the difference between two population means while the denominator can be the sd of either population
  • Cohen’s d= µ1- µ 2
  •                               σ
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