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:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 Ch²for 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:

H_0:
H₁:
Expected Frequencies:
- Introvert/Dogs f_e:
- Introvert/Cats f_e:
- Extrovert/Dogs f_e:
- Extrovert/Cats f_e:
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: