Question

Help for Insomniacs A recent study shows that just one session of cognitive behavioral therapy can help people with insomnia. In the study, forty people who had been diagnosed with insomnia were randomly divided into two groups of 20 each. People in one group received a one-hour cognitive behavioral therapy session while those in the other group received no treatment. Three months later, 14 of those in the therapy group reported sleep improvements while only 3 people in the other group reported improvements. (a) Fill in the following two-way table for this data. Improvement No improvement Total Therapy No therapy Total

Answer 1

We find the values for each box and fill in the values in the table. The totals are found by adding the respective rows and columns.

Total number of people who therapy received Total number of people who did not receive therapy = 20 Number of people in the thermpy group who reported improvement = 14 Number of people in the therapy who reported improvement no group = 20-14 Mumber of people who did not receive and who reported improvement therapy

. Mumber of people who did not receive and who reported no improvement themapy = 20-3 = 17 table way filled out two the Thus follows : as is No Total Improvement imprvement Therapy 14 17 No themapy Total 40 23 17 3.