Are phone calls equally likely to occur any day of the week? The day of the week for each of 350 randomly selected phone calls was observed. The results are displayed in the table below.  Use an αα = 0.05 significance level. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 30   Monday 49   Tuesday 53   Wednesday 52   Thursday 40   Friday 61   Saturday 65   What is the correct statistical test to use? Select an answer Goodness-of-Fit Homogeneity Independence Paired t-test  What are the null and alternative hypotheses? H0:H0:  Phone calls and days of the week are dependent. The distribution of phone calls is uniform over the days of the week. The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are independent. H1:H1:  The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are dependent. Phone calls and days of the week are independent. The distribution of phone calls is uniform over the days of the week.

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Author:Amos Gilat
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Are phone calls equally likely to occur any day of the week? The day of the week for each of 350 randomly selected phone calls was observed. The results are displayed in the table below.  Use an αα = 0.05 significance level.

  1. Complete the rest of the table by filling in the expected frequencies:
    Frequencies of Phone Calls for Each Day of the Week
    Outcome Frequency Expected Frequency
    Sunday 30

     

    Monday 49  
    Tuesday 53  
    Wednesday 52  
    Thursday 40  
    Friday 61  
    Saturday 65  
  2. What is the correct statistical test to use?
    Select an answer Goodness-of-Fit Homogeneity Independence Paired t-test 
  3. What are the null and alternative hypotheses?
    H0:H0: 
    • Phone calls and days of the week are dependent.
    • The distribution of phone calls is uniform over the days of the week.
    • The distribution of phone calls is not uniform over the days of the week.
    • Phone calls and days of the week are independent.







    H1:H1: 
    • The distribution of phone calls is not uniform over the days of the week.
    • Phone calls and days of the week are dependent.
    • Phone calls and days of the week are independent.
    • The distribution of phone calls is uniform over the days of the week.
  4. The degrees of freedom =





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





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





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





  8. Based on this, we should Select an answer reject the null fail to reject the null accept the null 
  9. Thus, the final conclusion is...
    • There is insufficient evidence to conclude that phone calls and days of the week are dependent.
    • There is insufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
    • There is sufficient evidence to conclude that phone calls and days of the week are dependent.
    • There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
    • There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week.

 

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