Is age group related to the device people prefer to use to watch television? A research firm sought

hadaasyj

hadaasyj

Answered question

2022-04-21

Is age group related to the device people prefer to use to watch television? A research firm sought to answer this question by surveying a random sample of 260 U.S. adults age 18 and over. The results are shown below.
DeviceTelevisionComputerMobile device182419612Age Group25342373935543482855+33813
Which of the following tests should be used?
Either (a) or (c).
A chi-square goodness of fit test.
A z-test for the difference of two proportions.
A chi-square test for homogeneity.
A chi-square test for independence.

Answer & Explanation

Felicity Carter

Felicity Carter

Beginner2022-04-22Added 16 answers

Chi-square test of independence:
A single simple random sampling is done with each individual being classified based on the two categorical variables. Then, the hypothesis testing is carried out to check whether there is any relationship between the two categorical variables. This test is called as chi-square test of independence.
In the given situation, the claim of the problem is testing whether the age group is related to device people prefer.
Explanation:
In the given situation, we are observing whether the two variables age and device people prefer are related or not.
That is, the testing is based on two categorical variables.
Hence, the suitable test is Chi-square test for independence.
Correct option: A Chi-square test for independence.

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