A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity   Cardio Weight Machines Free Weights White 99 95 90 Hispanic 81 100 91 Black 67 55 57 Other 47 49 62  What can be concluded at the  = 0.05 significance level? 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 greater than less than (or equal to)    Based on this, we should reject the null fail to reject the null accept the null Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity. There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent. There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent. There is sufficient evidence to conclude that ethnicity and first exercise activity are independent. There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity.

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Author:Amos Gilat
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A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members.

Frequencies of Ethnicity and Exercise Activity

  Cardio Weight Machines Free Weights
White 99 95 90
Hispanic 81 100 91
Black 67 55 57
Other 47 49 62

 What can be concluded at the  = 0.05 significance level?

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

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

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

  4. Based on this, we should
    • reject the null
    • fail to reject the null
    • accept the null
  5. Thus, the final conclusion is...
    • There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity.
    • There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent.
    • There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent.
    • There is sufficient evidence to conclude that ethnicity and first exercise activity are independent.
    • There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity.
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