Find the expected count and the contribution to

Answered question

2022-02-20

Find the expected count and the contribution to the chi-square statistic for the (Treatment, Disagree) cell in the two-way table below.

  Strongly Agree Agree Neutral Disagree Strongly Disagree
Control 35 48 3 14 9
Treatment 56 43 11 5 0

Answer & Explanation

Vasquez

Vasquez

Expert2022-03-12Added 669 answers

Solution

The row and column totals are,

Strongly AgreeAgreeNeutralDisagreeStrongly DisagreeTotalControl35483149109Treatment56431150115Total919114199224

The expected count for the (Treatment, Disagree) cell is,

Expected count=(Row total)(Column totalt)Grand total=115×192242185224=9.75459.8

Thus, the expected count for the (Treatment, Disagree) cell is 9.8. The contribution to the chi-square statistic for the (Treatment, Disagree) cell is,

Contribution=(Observed-Expected)2Expected=(59.7545)9.754522.605250259.7545=2.317

Thus, the contribution to the chi-square statistic for the (Treatment, Disagree) cell is 2.317.

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