Homework 6 PUBH PDF

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HESC 349: HOMEWORK #6

NAME: Jayclyn Dean

This homework assignment is worth 20 points. Round your answers to the 2nd decimal place. You

must SHOW YOUR WORK to get credit.

Chapter 13 (10 points) 1. If you have MS between groups of 2.4 and MS within groups of 0.3, what would your calculated F statistic be? (3 points) F=

2.4 =8 0.3

2. A health researcher used an analysis of variance to compare the effect of 4 different interventions on insomnia with a separate sample of 9 participants in each treatment. The results of the analysis are shown in the following summary. Fill in all missing values in the table. (Hint: Start with the df values. Source

SS

df

MS

F

Between Treatments

__45___

___3___

__15____

5

Within Treatments Total

96 __141__

___32___ ___35___

___3___

(a) State the null and alternative hypotheses. H0: U1 = U2 = U3 = U4 H1: X1 ≠ X 2≠ X 3 ≠ X 4 (b) What is the critical value? =2.92

(c) Do you reject the null hypothesis or fail to reject it? Reject the null hypothesis (d) Interpret the results using a critical value of p < .001 = 7.05. That would be greater than our F=5, then we would fail to reject the null hypothesis, and there would be no significant differences (e) Should the researcher conduct a Tukey HSD test? Yes (f) Explain why or why not. Because it will help determine where significant differences lie between the groups HESC 349, G. Halkia

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Chapter 15 (3points) – Please use the CV table for the correlation coefficient to solve the next two questions. Use the info provided to identify the Critical Values. 3. What is the critical value of the correlation coefficient needed for the rejection of the null hypothesis if there are 15 degrees of freedom and you are conducting a 1-tailed test using the . 01 level of significance? 2.603

4. What is the critical value of the correlation coefficient needed for rejection of the null hypothesis if there are 30 degrees of freedom and you are conducting a two-tailed test using the .05 level of significance? Use the table posted on the course website. 2.043

5. If your total sample size is 75, what are your degrees of freedom for the correlation coefficient? Df= 75-2 =73

Chapter 17 (7 points)

6. The table below shows nationality and preference for tea rather than coffee.

Prefer Tea

England 40

Ireland 25

France 5

New Zealand 30

a. Calculate the chi-square for a sample of 100 people. Category England Ireland France New Zealand Total

O 40 25 5 30 100

E 25 25 25 25 100

(O-E)^2 225 0 400 25

(O-E)^2/ (E) 9 0 80 0.83 89.83

b. What are the degrees of freedom for this problem? HESC 349, G. Halkia

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100-2 = 98 c. What is the critical value? Use the table posted on the course website. 124.342 d. Interpret the chi-square you just calculated. Critical value > the obtained value = that we can reject the null hypothesis

HESC 349, G. Halkia

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