Of the

98

participants in a drug trial who were given a new experimental treatment for arthritis,

51

showed improvement. Of the

89

participants given a placebo,

48

showed improvement. Construct a two-way table for these data, and then use a 0.05 significance level to test the claim that improvement is independent of whether the participant was given the drug or a placebo.

Assuming independence between the two variables, find the expected frequency for each cell of the table.