A researcher wanted to examine if there is a relationship between the personality type (i.e., Extrovert vs. Introvert) and the pet preference (i.e., Dogs vs. Cats). She enrolled a sample n = 48 participants to her study. Each participant completed the personality type inventory and based on the outcomes was categorized as an extrovert or introvert. Next, all participants were asked if they would prefer to have a dog or a cat as a pet. Each person personality type and choice of most desired pet was recorded.  The collected data (i.e., the frequency count of extroverts and introverts who selected each type of pet) are shown in the table. Do the data indicate a significant correlation between personality type and pet preference? Use the Ch2 for Independence test with p < .01 to answer this question. Follow the steps of hypothesis testing and round numbers to two decimal points in your calculations to avoid rounding errors.   DOG CAT INTROVERT 12 19 EXTROVERT 10 7 To receive full credit include the following in your answer: H0: H1: Expected Frequencies: Introvert/Dogs fe: Introvert/Cats  fe: Extrovert/Dogs fe: Extrovert/Cats fe: Calculated Chi2 test: Df for the critical Chi2 Critical Chi2 for the decision about H0: Decision about H0: Effect size phi (if applicable): Conclusion in APA format:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A researcher wanted to examine if there is a relationship between the personality type (i.e., Extrovert vs. Introvert) and the pet preference (i.e., Dogs vs. Cats). She enrolled a sample = 48 participants to her study. Each participant completed the personality type inventory and based on the outcomes was categorized as an extrovert or introvert. Next, all participants were asked if they would prefer to have a dog or a cat as a pet. Each person personality type and choice of most desired pet was recorded.  The collected data (i.e., the frequency count of extroverts and introverts who selected each type of pet) are shown in the table.

Do the data indicate a significant correlation between personality type and pet preference? Use the Ch2 for Independence test with p < .01 to answer this question.

Follow the steps of hypothesis testing and round numbers to two decimal points in your calculations to avoid rounding errors.

  DOG CAT
INTROVERT 12 19
EXTROVERT 10 7

To receive full credit include the following in your answer:

  • H0:
  • H1:
  • Expected Frequencies:
    • Introvert/Dogs fe:
    • Introvert/Cats  fe:
    • Extrovert/Dogs fe:
    • Extrovert/Cats fe:
  • Calculated Chi2 test:
  • Df for the critical Chi2
  • Critical Chi2 for the decision about H0:
  • Decision about H0:
  • Effect size phi (if applicable):
  • Conclusion in APA format:
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