Question

  New research seems to suggest that kids raised in homes with pets tend to have fewer...

  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
Math   Statistics-And-Probability   
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Homework Answers

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

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