Are phone calls equally likely to occur any day of the week? The day of the week for each of 637 randomly selected phone calls was observed. The results are displayed in the table below. Use an αα =...

Are phone calls equally likely to occur any day of the week? The day of the week for each of 637 randomly selected phone calls was observed. The results are displayed in the table below.  Use an αα = 0.01 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	127
   Monday	88
   Tuesday	75
   Wednesday	81
   Thursday	90
   Friday	88
   Saturday	88

   
   


2. What is the correct statistical test to use?
   Select an answer Paired t-test Independence Goodness-of-Fit Homogeneity
   


3. What are the null and alternative hypotheses?
   H0:H0:
   
   
   

   
   
   • 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.
   
   
   • Phone calls and days of the week are dependent.
   
   

   
   
   
   
   
   
   
   
   H1:H1:
   
   
   

   
   
   • 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.
   
   
   • The distribution of phone calls is not 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 accept the null fail to reject the null reject the null
   


9. Thus, the final conclusion is...
   
   
   

   
   
   • There is sufficient 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 the distribution of phone calls is uniform over the days of the week.
   
   
   • There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
   
   
   • There is insufficient evidence to conclude that phone calls and days of the week are dependent.