The table below summarizes results from an experiment in which subjects were classified as asthmatic or nonasthmatic and then given a treatment. After the treatment, they were again classified as asthmatic or nonasthmatic. Using a 0.05 Significance level, find the critical value.

A) $5.024$
B) $6.635$
C) $7.879$
D) $3.841$

Question

The table below summarizes results from an experiment in which subjects were classified as asthmatic or nonasthmatic and then given a treatment. After the treatment, they were again classified as asthmatic or nonasthmatic. Using a 0.05 Significance level, find the critical value.

A) $5.024$ 
B) $6.635$ 
C) $7.879$ 
D) $3.841$

Quizplus · Accepted Answer

The critical value for this experiment is found using the chi-square distribution with one degree of freedom (df = 1), since there are two categories (asthmatic and nonasthmatic) and one treatment. Looking at a chi-square distribution table with df = 1 and a significance level of 0.05, we find the critical value to be approximately 3.841. Therefore, the answer is choice D).

The Table Below Summarizes Results from an Experiment in Which 5.0245.0245.024

The Table Below Summarizes Results from an Experiment in Which $5.024$