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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman