A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger,

rhita3yp

rhita3yp

Answered question

2022-03-01

A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger, 30 to 64 years, and 65 years and older. Each person from the sample was surveyed about which of 4 major brands of cell phone they used. Their responses were compiled and displayed in a 3-by-4 contingency table. A researcher will use the data to investigate whether there is an association between cell phone brand and age- group. Which of the following is the appropriate test for the investigation?
a. A one-sample t-test for a population mean
b. A two-sample t-test for a difference between means
c. A chi-square goodness-of-fit test
d. A chi-square test of homogeneity
e. A chi-square test of independence

Answer & Explanation

koffiejkl

koffiejkl

Beginner2022-03-02Added 7 answers

Identify the correct option for the given statement.
The correct option is identified below as follows:
From the information, given that the researcher is interested to know whether there is an association between cell phone brand and age-group.
Reason for correct option:
Since, given that there is association between the two variables cell phone brand and age-group it can be indicated that the appropriate test for the investigation is clearly “ Chi-square test for independence”.
Because the word” association” indicates the relation between two variables which can be obtained by using “ Chi-square test of independence”.
Correct option: Option e.
Miles Martin

Miles Martin

Beginner2022-03-03Added 6 answers

Reason for incorrect options:
The options A, B, C and D are incorrect because t test is not used to determine the association between the two variables.
Chi square goodness of fit is used to determine to know how well the sample data obtained fits the distribution of the selected population and Chi square test of Homogeneity to know how well it fits the expected distribution.

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