Question

  New research seems to suggest that kids raised in homes with pets tend to have fewer allergies than kids raised without pets. A survey study was conducted to test this finding. A sample of 100 adults were asked if they had allergies (yes/no) and how many pets they had between the ages of 1 and 10 years old (0, 1, or 2 or more). Use the crosstabs table below t conduct a chi-square test with alpha = 0.05. Indicate whether these data support the previous findings or not.

# Pets/Allergies	0	1	2 or more
No	10	25	35
Yes	15	10	5

2. For the following voting survey data, create a crosstabs table and then conduct a test to determine if the two variables are related. Use alpha equals 0.01.

Person	Gender	Plans to Vote for	Person	Gender	Plans to Vote for
1	Male	Trump	16	Female	Clinton
2	Male	Trump	17	Male	Trump
3	Female	Trump	18	Male	Clinton
4	Female	Clinton	19	Female	Trump
5	Female	Clinton	20	Female	Trump
6	Male	Clinton	21	Male	Clinton
7	Male	Trump	22	Female	Clinton
8	Female	Clinton	23	Male	Trump
9	Female	Trump	24	Female	Clinton
10	Male	Clinton	25	Female	Trump
11	Male	Trump	26	Male	Trump
12	Female	Trump	27	Female	Clinton
13	Male	Clinton	28	Male	Trump
14	Female	Clinton	29	Female	Clinton
15	Male	Trump	30	Male	Trump

Answer 1

1)

		c1	c2	c3	sum
	r1	10	25	35	70
	r2	15	10	5	30
	sum	25	35	40	100
	Eij	1	2	3
expected	1	17.5	24.5	28
	2	7.5	10.5	12
	0i	10	25	35	15	10	5
	Ei	17.5	24.5	28	7.5	10.5	12
								sum
	(Oi-Ei)^2/Ei	3.214286	0.010204	1.75	7.5	0.02381	4.083333333	16.58163
							critical value	5.991465
							p-value	0.000251

TS = 16.5816

df = 2

critical value = 5.9915

since TS > critical value

we reject the null hypothesis

we conclude that these data support the previous findings