We are interested in investigating association between two categorical(nominal)

Question

We are interested in investigating association between two categorical(nominal) varaiables (row variable =the outcome with four unranked categories, and column variable= the type of intervention with three catagories, and the cell frequencies represent the count of study participants that fell into each category.

Part 1. How many cases would you expect to see in the cell for Outcome category 2, Intervention A if null hypothesis was true? Round to the second decimal. Show Work and explanation.

a. 7.48      b. 12.48   c. 15.48   d. 22.48

Part 2. Among the particpants who recieved intervention B, what percentage of them had an oPartutcome of Category 2?   a. 38.5%    b. 11.9% c. 27.8%     d. 42.9%

outcome Intervention A Intervention B Intervention C Row Total Category 1 6 8 15 29 Category 2 14 15 10 39 Category 3 8 5 7 20 Catagory 4 22 7 9 38 Column total 50 35 41 126

Explanation / Answer

Part 1. How many cases would you expect to see in the cell for Outcome category 2, Intervention A if null hypothesis was true? Round to the second decimal. Show Work and explanation.

right choice is c.15.48

here expected frequency of cell  for Outcome category 2, Intervention A if null hypothesis was true=(row total)*(column total)/(grand total)=39*50/126=15.48

Part 2. Among the particpants who recieved intervention B, what percentage of them had an oPartutcome of Category 2?

right choice is d.42.9%

total numbers who recieved intervention B=35

number of cases from category 2 among intervention B=15

required %=100*15/35=42.9

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