Find the expected count and the contribution to the chi-square statistic for the (Group 1, No)

Lewis Harvey

Lewis Harvey

Answered question

2021-01-16

Find the expected count and the contribution to the chi-square statistic for the (Group 1, No) cell in the two-way table below.

YesNoTotalGroup 1564298 Group 213567202Group 3662389Total257132389
Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.
Expected count =?
contribution to the chi-square statistic = ?

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-01-17Added 97 answers

Step 1
Observed values with marginal totals:
YesNoTotalGroup 1564298 Group 213567202Group 3662389Total257132389
Step 2
Expected values:
Expected values are the product of the column and row total divided by the table total. YesNoGroup 1257×98389=64.7132×98389=33.2Group 2257×202389=133.5132×202389=68.5Group 3257×89389=58.8132×89389=30.2
Step 3
The expected count for (Group 1, No) is as follows:
Expected count=132×98389
=33.2545
33.3 The contribution to test statistic is as follows: contribution to chi-square=(OE)2E
=(4233.2545)233.2545
=2.29995
2.300

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?