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The table below lists days of the week selected by a random sample of 994 subjec

ID: 3229379 • Letter: T

Question

The table below lists days of the week selected by a random sample of 994 subjects who were asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. If we test the claim using the goodness-of-fit test, what is actually tested?

Sun

Mon

  Tues

    Wed

    Thurs

    Fri    

Sat

510    

20

   8

     18

      10

     43

385

A.The test is to determine whether the observed frequency counts agree with the claimed chi-square distribution so that the frequencies for at most three days are equally likely.

B.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for at least two days are equally likely.

C.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for only two days are equally likely.

D.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for the different days are equally likely.

Sun

Mon

  Tues

    Wed

    Thurs

    Fri    

Sat

510    

20

   8

     18

      10

     43

385

A.The test is to determine whether the observed frequency counts agree with the claimed chi-square distribution so that the frequencies for at most three days are equally likely.

B.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for at least two days are equally likely.

C.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for only two days are equally likely.

D.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for the different days are equally likely.

Explanation / Answer

D.The test is to determine whether the observed frequency counts agree with the claimed uniform distribution so that the frequencies for the different days are equally likely

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