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Level 4: Inference Problem 71 of 87

Chi-square: expected count of a cell

A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.

The task

A survey cross-tabulates preferred contact method by age group. Under 40: email 16, phone 21, chat 118. 40 and over: email 89, phone 70, chat 57. If age group and contact method were independent, what count would be expected in the cell for under 40 and email? Round to 2 decimal places.

What this problem teaches

The formula: E = row total × column total / grand total. The observed count in this cell is 16. The chi-square statistic adds (observed - expected)² / expected over all six cells.

A hint if you get stuck

Expected count = row total × column total / grand total.

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