Question

CAN YOU DO 1 TO 8 PLEASE. I''LL GIVE THUMBS UP

Are phone calls equally likely to occur any day of the week? The day of the week for each of 679 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	82
Monday	88
Tuesday	111
Wednesday	86
Thursday	85
Friday	124
Saturday	103

1. What is the correct statistical test to use? _______
   
2. What are the null and alternative hypotheses? (1 ANSWER)
   H0:H0:
   • Phone calls and days of the week are independent.
   • 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.
   
   
   (1 ANSWER)
   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.
3. The degrees of freedom = __________
   
4. The test-statistic for this data = ______________(Please show your answer to three decimal places.)
   
5. The p-value for this sample = (________________Please show your answer to four decimal places.)  
   
6. The p-value is________ α
7. Based on this, we should___________
8. Thus, the final conclusion is...( 1 ANSWER)
   • 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 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 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.

Answer 1

What is the correct statistical test to use?

Chi-square test

What are the null and alternative hypotheses?

Ho : The distribution of phone calls is uniform over the days of the week.

H1 : The distribution of phone calls is not uniform over the days of the week.

1. The degrees of freedom = 6
2. The test-statistic for this data = 15.794
3. The p-value for this sample = 0.0149
4. The p-value is less than α
5. Based on this, we should reject H0
6. Thus, the final conclusion is...There is sufficient evidence to conclude that phone calls and days of the week are dependent.