Reference no: EM132843466

Of the 97 participants in a drug trial who were given a new experimental treatment for? arthritis, 58 showed improvement. Of the 89 participants given a? placebo, 51 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

Improvement No improvement

Drug
placebo

Chi-square table
critical value of chi- square
X squared : Reject
H0 only if x squared > critical value

Table size
rows x columns significance level
0.05 0.01
2x2 3.841 6.635
2x3 or 3x2 5.991 9.210
3x3 9.488 13.277
2x4 or 4x2 7.815 11.345
2x5 or 5x2 9.488 13.277

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

b) Find the value of the x squared test statistic

c) Use the given significance level to find the x squared critical value

d) Using the given significance level, compete the test of the claim that the two variables are independent . state the conclusion that addresses the original claim