Find the expected count and the contribution to the chi-square statistic for the (Control, Disagree) cell in the two-way table below. begin{array}{|c|

Jaden Easton

Jaden Easton

Answered question

2020-11-26

Find the expected count and the contribution to the chi-square statistic for the (Control, Disagree) cell in the two-way table below.
Strongly AgreeAgreeNeutralDisagreeStrongly DisagreeControl384721211Treatment6045942
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

hosentak

hosentak

Skilled2020-11-27Added 100 answers

Step 1
a) The expected frequencies are calculated by using the following formula:
Expected frequency=Row totalColumn totalOverall total
Step 2
Then, expected frequencies are calculated as follows: Strongly AgreeAgreeNeutralDisagreeStrongly DisagreeControl46.944.05.37.76.2Treatment51.148.05.78.36.8 The formula for finding the test statistic is obtained as follows: x2=(OiEi)2Ei The chi-square statistic is calculated as follows:
Observed count (O)Expected count (E)(OE)2E3846.91.6784744.00.20525.32.021127.72.470116.23.6796051.11.5394548.00.18895.71.85348.32.26426.83.372Total:230x2=19.269

Thus , the chi-square statistic is 19.269

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