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 the P-value? Will the null hypothesis be rejected?  Explain.

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 the P-value?
  2. Will the null hypothesis be rejected?  Explain.
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