Question

A researcher wanted to examine if there is a relationship between color preference (le, favorite color red, yellow, green or blue) and personality type (ie, extrovert or introvert). He selected a sample of n = 200 participants, each participant took a personality test and identified the favorite color. The collected data are shown in the table below. Do the data indicate a significant relationship between personality type and color preference? Test with p<.01. YELLOW GREEN BLUE RED 10 90 INTROVERT EXTROVERT For full credit include 15 • hypotheses • calculation of expected frequency • calculation of Chi test . df and critical value of Chiused for hypothesis test • decision about Ho · full conclusion in APA format.

Answer 1

# null hypothesis: personality type and colour preference variables are independent

Alternative hypothesis: null hypothesis is false

#

Actual Values:
10 3 15 22
90 17 25 18

Warning: Actual Value less than 5.
Results not reliable.

Expected Values:
25 5 10 10
75 15 30 30

Chi-Squared Values:
9 0.8 2.5 14.4
3 0.266667 0.833333 4.8

#Chi-Square = 35.6

#Degrees of Freedom = 3

Critical chi square = 11.345

# here calculated chi square value is greater than critical chi square value. So we reject null hypothesis

# rejection of null hypothesis leads to the conclusion that given variables are dependent.

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