You are conducting a test of homogeneity for the claim that two different populations have the same

friasrodixg

friasrodixg

Answered question

2022-03-08

You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data.
 Category  Population #1  Population #2  A 36125 B 2268
What is the chi-square test-statistic for this data?
χ2=
Report all answers accurate to three decimal places.

Answer & Explanation

Heidy David

Heidy David

Beginner2022-03-09Added 1 answers

The Chi-square test of independence is used to determine if there is a significant relationship between two nominal variables. The chi-square test of independence can be used to examine this relationship. The null hypothesis for this test is that there is no relationship between gender and empathy.
 Category  Population #1  Population #2  Row total  A 36125161 B 226890 Column total 58193N=251
Chi-square cal =
=N((ad-bc)square)/(a+ b)(b+ d)(d+ c)(c +a)
=251((36*68)-(22*125))square/(36+125)(125+68)(68+22)(22+36)
Chi square =0.1411

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