Scope and Methods Dr. David Test Spring 2017 1, and Interpretation Answer both o

Question

Scope and Methods Dr. David Test Spring 2017 1, and Interpretation Answer both of the following questions. (20 points each) replace n your Healey the mean (formula 5.3: remember, the the denominator with (formula 4.1), variance remember, replace n in denominator n-1) standard deviation (formula 5.4 group of people: 28, 34, with n-1), and z-scores (formula 6.1) the ofthe following 21, 55, 62. Be for age sure to show your work. 2) Attached you will find an SPss printout testing the that those wit a higher toward th education level (more than a high school are tolerant in their attitude or less) Muslims than those more diploma a Tolerance with a lower level of education with a high school indicating is measured on a 0 to 100 feeling thermometer scale with larger values greater liking or tolerance. Answer the following questions. would look Using difference in means testing as the example, 1) how the world the alternative under the null hypothesis of no relation; and, 2) how the world would look under hypothesis as stated. b) Do the results support the substantive description of how the world works as presumed by the above hypothesis? How did you make this determination? c) Applying the two-tailed criterion (a 2-.05), use the t-score, the significance level, and the confidence interval data to determine whether there is a statistically significant relation between education and one's attitude towards Muslim. How did you make these determinations?

Explanation / Answer

Question 1

The formula for mean is given as below:

Mean = Total sum / number of observations

Total sum = 200

Number of observations = 5

Mean = 200/5 = 40

Variance = (X - mean)^2 / (n – 1)

The calculation table is given as below:

X

(X - mean)

(X - mean)^2

28

-12

144

34

-6

36

21

-19

361

55

15

225

62

22

484

Total

200

0

1250

Mean

40

Variance = 1250/( 5 – 1) = 1250/4 = 312.5

Standard deviation = sqrt(Variance) = sqrt(312.5) = 17.67766953

Z = (X – mean) / SD

For X = 28

Z = (28 – 40)/ 17.67766953 = -0.67882251

For X = 34

Z = (34 – 40)/ 17.67766953 = -0.339411255

For X = 21

Z = (21 – 40)/ 17.67766953 = -1.074802307

For X = 55

Z = (55 – 40)/ 17.67766953 = 0.848528137

For X = 62

Z = (62 – 40)/ 17.67766953 = 1.244507935

Question 2

Part a.1.

The world would look under the null hypothesis that there is no any significant difference in the tolerance towards Muslims by the people with higher education and lower education.

Part a.2

The world would look under the null hypothesis that there is more tolerance towards Muslims by the people with higher education than people with lower education.

Part b

We are given a p-value as 0.00, so we reject the null hypothesis. This means we conclude that there is sufficient evidence that there is more tolerance towards Muslims by the people with higher education than people with lower education.

X

(X - mean)

(X - mean)^2

28

-12

144

34

-6

36

21

-19

361

55

15

225

62

22

484

Total

200

0

1250

Mean

40

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