Question

A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey.

Frequencies of Religions and Sneakers

NikeAdidasOther

Protestant7395106

Catholic696583

Jewish171840

Other907476

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?

Paired t-test

Independence

Homogeneity

Goodness-of-Fit

What are the null and alternative hypotheses?

H0:H0:

Sneaker brand and religious affiliation are dependent.

Sneaker brand and religious affiliation are independent.

The distribution of sneaker brand is the same for each religion.

The distribution of sneaker brand is not the same for each religion.

H1:H1:

The distribution of sneaker brand is not the same for each religion.

Sneaker brand and religious affiliation are independent.

Sneaker brand and religious affiliation are dependent.

The distribution of sneaker brand is the same for each religion.

The test-statistic for this data = (Please show your
answer to three decimal places.)

The p-value for this sample = (Please show your answer to four
decimal places.)

The p-value is Select an answer less than (or equal to) greater
than αα

Based on this, we should

accept the null

reject the null

fail to reject the null

Thus, the final conclusion is...

There is sufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is insufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are independent.

There is insufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

Answer #1

LEVEL OF SIGNIFICANCE =0.05

INDEPENDENCE TEST

H0: Sneaker brand and religious affiliation are independent.

Ha: Sneaker brand and religious affiliation are dependent.

TEST STATISTIC =

The *p*-value is .0120

P value is less than 0.05

REJECT THE NULL HYPOTHESIS

There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

A restaurant manager is interested in investigating whether the
main course ordered and the dessert ordered are related. The table
below shows the results of a survey.
Frequencies of Food Preference and Dessert
Types
Fish
Meat
Vegetarian
Cake
91
99
48
Ice Cream
108
101
48
Pie
117
110
41
What can be concluded at the αα = 0.10 significance level?
What is the correct statistical test to use?
Goodness-of-Fit
Independence
Homogeneity
Paired t-test
What are the null and alternative...

You are interested in investigating whether the type of computer
a person primarily uses and the type of car they drive are
dependent. The table below shows the results of a survey.
Frequencies of Computer and Car
Types
Sedan
SUV
Truck
Tablet
72
98
50
Notebook
87
96
30
Desktop
106
103
22
What can be concluded at the αα = 0.10 significance level?
What is the correct statistical test to use?
Paired t-test
Homogeneity
Goodness-of-Fit
Independence
What are the...

Are phone calls equally likely to occur any day of the week? The
day of the week for each of 392 randomly selected phone calls was
observed. The results are displayed in the table below. Use an αα =
0.10 significance level.
Complete the rest of the table by filling in the expected
frequencies:
Frequencies of Phone Calls for Each Day of the Week
OutcomeFrequencyExpected Frequency
Sunday38
Monday57
Tuesday65
Wednesday45
Thursday75
Friday63
Saturday49
What is the correct statistical test to...

Suppose youare 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
religiousaffiliation:
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...

You want to see if it makes a difference which lane to be in
when there is traffic. You randomly observe 332 cars as they pass
by on the four lane freeway. The results are displayed in the table
below. Use a level of significance of αα = 0.01.
Complete the rest of the table by filling in the expected
frequencies:
Frequency of Cars in Each Lane
Outcome
Frequency
Expected Frequency
Lane 1
66
Lane 2
109
Lane 3
84...

Is there a difference in the car brand's countries for
Midwesterners and people from the west coast? Of the 165 randomly
selected Midwesterners surveyed 60 had an American car, 85 had a
car from Asia, and 20 had a cars from another country. Of the 170
randomly selected people from the west coast who were surveyed, 47
had an American car, 83 had a car from Asia, and 40 had a car from
outside of the US and Asia. Conduct...

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...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is ŷ =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...

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from 1 to 10 with 1 meaning they have no interest and 10 meaning
they absolutely love it. The results of the study are shown
below.
Playing Vs. Watching Sports
Play
6
2
4
7
5
10
5
1
7
9
Watch
5
3
6
6
6
10
7
2...

12% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
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students who receive financial aid, 56 of them volunteered their
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significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? p...

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