Are phone calls equally likely to occur any day of the week? The day of the week for each of 567 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 567 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	78
   Monday	72
   Tuesday	78
   Wednesday	67
   Thursday	112
   Friday	88
   Saturday	72

   
   


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:
   
   
   

   
   
   • The distribution of phone calls is uniform over the days of the week.
   
   
   • Phone calls and days of the week are dependent.
   
   
   • 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:
   
   
   

   
   
   • Phone calls and days of the week are dependent.
   
   
   • The distribution of phone calls is not uniform over the days of the week.
   
   
   • The distribution of phone calls is uniform over the days of the week.
   
   
   • Phone calls and days of the week are independent.
   
   

   
   
   
   


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 less than (or equal to) greater than  αα
   
   
   
   


8. Based on this, we should Select an answer fail to reject the null accept 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 insufficient 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.