Question

Suppose you are interested in whether the distribution of religious affiliations of members of the House of Representatives is the same as the distribution of religious affiliation in the United States. The following table contains data for religious affiliation:

Religion	Proportion in US1	Number of Representatives2
Protestant	46.5%	220
Catholic	20.8%	140
Other Christian	3.3%	36
Jewish	1.9%	19
Other/None	27.4%	20
TOTAL	100.0%	435
1 data from http://www.pewforum.org/2015/05/12/americas-changing-religious-landscape/ 2 data from https://www.washingtonpost.com/graphics/politics/114th-house-religions/

1. What type of hypothesis test would you use for this?

		Goodness of Fit
		Test of Heterogeneity
		Test of independence
		none of the above

10 points   

QUESTION 2

2. What is the p-value for the test?

		p = 0
		p = 3.54
		p < 0.0001
		none of the above

10 points   

QUESTION 3

3. Is the distribution of religious affiliations for Congressmen and Congresswomen different than the distribution in the US?

		No, since the p-value is greater than 0.05
		Yes, since the p-value is greater than 0.05
		No, since the p-value is less than 0.05
		Yes, since the p-value is less than 0.05

10 points   

QUESTION 4

4. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for males?

		Goodness of Fit
		Test of Heterogeneity
		Test of independence
		none of the above

10 points   

QUESTION 5

5. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for females?

		Goodness of Fit
		Test of Heterogeneity
		Test of independence
		none of the above

10 points   

QUESTION 6

6. Can you conduct the tests with data as given?

		Yes, because each cell has a positive number in it
		Yes, because each cell has a large enough value
		No, since the totals are not given to us
		No, since there are cells with values less than 5.

10 points   

QUESTION 7

7. What are the p-values for

a. Males

b. Females

10 points   

QUESTION 8

8. Are attractiveness and deciding on a date related?

		No for males, No for females
		No for males, Yes for females
		Yes for males, No for females
		Yes for males, Yes for females

10 points   

QUESTION 9

9. What type of hypothesis test would you use to see if intelligence and deciding on a date are related for males?

		Goodness of Fit
		Test of Heterogeneity
		Test of independence
		none of the above

10 points   

QUESTION 10

10. What type of hypothesis test would you use to see if intelligence and deciding on a date are related for females?

		Goodness of Fit
		Test of Heterogeneity
		Test of independence
		none of the above

10 points   

QUESTION 11

11. Can you conduct the tests with data as given?

		Yes, because each cell has a positive number in it
		Yes, because each cell has a large enough value
		No, since the totals are not given to us
		No, since there are cells with values less than 5.

10 points   

QUESTION 12

12. What are the p-values for

a. Males

b. Females

10 points   

QUESTION 13

13. Are attractiveness and deciding on a date related?

		No for males, No for females
		No for males, Yes for females
		Yes for males, No for females
		Yes for males, Yes for females

Answer 1

1. What type of hypothesis test would you use for this?

since we are comapring different proportions .

Goodness of Fit

2. What is the p-value for the test?

0	E	o-e	(0-e)^2	(o-e)^2/e
46.5	50.6	-4.1	16.81	0.332213
20.8	32.2	-11.4	129.96	4.036025
3.3	8.3	-5	25	3.012048
1.9	4.4	-2.5	6.25	1.420455
27.4	4.6	22.8	519.84	113.0087
			chisq	121.8094

p vlaue==CHISQ.DIST.RT(121.81;4)

=

2.19291E-25

p=0

3. Is the distribution of religious affiliations for Congressmen and Congresswomen different than the distribution in the US?

Yes, since the p-value is less than 0.05

Solution4:

test of independence

H0if attractiveness and deciding on a date are not related for females

H1:if attractiveness and deciding on a date are related for females

Test of independence