Suppose a marketing research firm would like to examine if the social networking site that a person primarily uses is influenced by his or her age. In a randomly drawn sample, 377 social network users were asked which site they primarily visited. These data are presented in the following table along with each person's age group. Complete parts a. through c. below. Click the icon to view the data table. a. Using a = 0.05, perform a chi-square test to determine if age group and social networking site used are independent of one another. Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below. O A. Ho: Age group and social networking site are independent of one another. H: The social networking site used affects the age group. B. Ho Age group and social networking site are independent of one another. H: Age group and social networking site are not independent of one another. OC. Ho Age group and social networking site are not independent of one another. H, Age group and social networking site are independent of one another. OD. Ho: Age group and social networking site are independent of one another. H,: The age group affects the social networking site. Calculate the chi-square test statistic. If necessary, combine age groups. x2 = (Round to two decimal places as needed.) Find the chi-square critical value, xã x = (Round to two decimal places as needed.) Determine the result of the test. Choose the correct answer below. O A. Fail to reject Ho. The test statistic falls into the rejection region. O B. Reject Ho. The test statistic falls into the rejection region. OC. Reject Ho The test statistic does not fall into the rejection region. O D. Fail to reject Ho. The test statistic does not fall into the rejection region. b. What conclusions can be made based on these results? There ie () avidence to indicate that (2)
Suppose a marketing research firm would like to examine if the social networking site that a person primarily uses is influenced by his or her age. In a randomly drawn sample, 377 social network users were asked which site they primarily visited. These data are presented in the following table along with each person's age group. Complete parts a. through c. below. Click the icon to view the data table. a. Using a = 0.05, perform a chi-square test to determine if age group and social networking site used are independent of one another. Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below. O A. Ho: Age group and social networking site are independent of one another. H: The social networking site used affects the age group. B. Ho Age group and social networking site are independent of one another. H: Age group and social networking site are not independent of one another. OC. Ho Age group and social networking site are not independent of one another. H, Age group and social networking site are independent of one another. OD. Ho: Age group and social networking site are independent of one another. H,: The age group affects the social networking site. Calculate the chi-square test statistic. If necessary, combine age groups. x2 = (Round to two decimal places as needed.) Find the chi-square critical value, xã x = (Round to two decimal places as needed.) Determine the result of the test. Choose the correct answer below. O A. Fail to reject Ho. The test statistic falls into the rejection region. O B. Reject Ho. The test statistic falls into the rejection region. OC. Reject Ho The test statistic does not fall into the rejection region. O D. Fail to reject Ho. The test statistic does not fall into the rejection region. b. What conclusions can be made based on these results? There ie () avidence to indicate that (2)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5. Suppose a marketing research firm would like to examine if the social networking site that a person primarily uses is influenced by his or her age. In a randomly drawn sample, 377 social network users were asked which site they primarily visited. These data
are presented in the following table along with each person's age group. Complete parts a. through c. below.
Click the icon to view the data table.
a. Using a = 0.05, perform a chi-square test to determine if age group and social networking site used are independent of one another.
Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below.
O A. Ho: Age group and social networking site are independent of one another.
H4: The social networking site used affects the age group.
OB. Ho: Age group and social networking site are independent of one another.
H: Age group and social networking site are not independent of one another.
O C. Ho: Age group and social networking site are not independent of one another.
H,: Age group and social networking site are independent of one another.
O D. Ho: Age group and social networking site are independent of one another.
H,: The age group affects the social networking site.
Calculate the chi-square test statistic. If necessary, combine age groups.
(Round to two decimal places as needed.)
Find the chi-square critical value, x?
x =
(Round to two decimal places as needed.)
Determine the result of the test. Choose the correct answer below.
O A. Fail to reject Ho. The test statistic falls into the rejection region.
O B. Reject Ho. The test statistic falls into the rejection region.
O C. Reject Ho. The test statistic does not fall into the rejection region.
O D. Fail to reject Ho. The test statistic does not fall into the rejection region.
b. What conclusions can be made based on these results?
There is (1)
evidence to indicate that (2)
Transcribed Image Text:b. What conclusions can be made based on these results?
There is (1)
evidence to indicate that (2).
c. Determine the p-value using technology and interpret its meaning.
p-value =
(Round to three decimal places as needed.)
Interpret the meaning of the p-value.
The p-value is the probability of observing a (3)
as extreme or more extreme than the one observed under the assumption that the (4)
is true. A p-value less than the significance level a means that the (5)
is
(6)
enough that the (7)
should be rejected. For this test, the p-value is (8)
a = 0.05, so (9)
the (10)
There is (11)
evidence to indicate that
(12)
1: Data Table
Social Networking Site a
Age Group
Site A
Site B Site C
2-17
24
14
18-34
110
40
12
35-54
98
17
19
55+
27
4
7
O null hypothesis
(1) O insufficient
O sufficient
the age group affects the social networking site used.
O age group and social networking site are not independent of one another.
null hypothesis
O alternative hypothesis
(5) O critical value
O test statistic
(2)
(3)
test statistic
(4)
(6)
likely
(7)
O critical value
O unlikely
alternative hypothesis
the social networking site used affects the age group
O age group and social networking site are independent of one another.
(8) O greater than
O less than
(9) O do not reject
O reject
(10) O null hypothesis.
O alternative hypothesis.
(11) O insufficient
O sufficient
(12) O age group and social networking site are not independent of one another.
O the age group affects the social networking site used.
age group and social networking site are independent of one another.
O the social networking site used affects the age group.
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