A n online healthcare service has initial contacts with new clients in a number of ways. Email Text Voice mail Post Office Walk-ins Historical data show the following Email:  20% of initial contacts Text:  10% of initial contacts Voice mail:  15% of initial contacts Post Office:  25% of initial contacts Walk-ins:  30% of initial contacts Method Email Text Voice Mail Post Office Walk-ins Count 25 15 20 20 20 Changing health care needs may mean a change in the way initial contacts are made.  The data set is a random sample of new clients and method of initial contact.   Test the claim that the data match the historical frequency distribution.  Use a 5% level of significance.  Then use the results to answer the following questions. What is type of test is this?  Left tail, right tail, or two tail? What distribution is used for the goodness of fit test? Write both hypotheses

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A n online healthcare service has initial contacts with new clients in a number of ways.

  • Email
  • Text
  • Voice mail
  • Post Office
  • Walk-ins

Historical data show the following

  • Email:  20% of initial contacts
  • Text:  10% of initial contacts
  • Voice mail:  15% of initial contacts
  • Post Office:  25% of initial contacts
  • Walk-ins:  30% of initial contacts
Method Email Text Voice Mail Post Office Walk-ins
Count

25

15 20 20 20

Changing health care needs may mean a change in the way initial contacts are made.  The data set is a random sample of new clients and method of initial contact.   Test the claim that the data match the historical frequency distribution.  Use a 5% level of significance.  Then use the results to answer the following questions.

  1. What is type of test is this?  Left tail, right tail, or two tail?
  2. What distribution is used for the goodness of fit test?
  3. Write both hypotheses
  4. What is the P-value?
  5. Will the null hypothesis be rejected?  Explain.
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