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 the
Values of the test statistic and critical value for a 0.05 significance level, what do you conclude?
A) Fail to reject the null hypothesis that the following proportions are equal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after The treatment. The treatment does not appear to be effective.
B) Reject the null hypothesis that the following proportions are unequal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after The treatment. The treatment appears to be effective.
C) Fail to reject the null hypothesis that the following proportions are unequal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were Asthmatic after the treatment. The treatment does not appear to be effective.
D) Reject the null hypothesis that the following proportions are equal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after the Treatment. The treatment appears to be effective.

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 the
Values of the test statistic and critical value for a 0.05 significance level, what do you conclude? 
A) Fail to reject the null hypothesis that the following proportions are equal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after The treatment. The treatment does not appear to be effective. 
B) Reject the null hypothesis that the following proportions are unequal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after The treatment. The treatment appears to be effective. 
C) Fail to reject the null hypothesis that the following proportions are unequal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were Asthmatic after the treatment. The treatment does not appear to be effective. 
D) Reject the null hypothesis that the following proportions are equal: (1) The proportion of asthmatics who were nonasthmatic after the treatment; 1) the proportion of nonasthmatics who were asthmatic after the Treatment. The treatment appears to be effective.

Quizplus · Accepted Answer

The question is asking us to determine whether or not the treatment is effective. To do this, we need to compare the proportions of asthmatics who were nonasthmatic after treatment and the proportions of nonasthmatics who were asthmatic after treatment. The null hypothesis is that the proportions are equal, while the alternative hypothesis is that they are not equal. Since the question does not provide the actual proportions, we cannot perform a hypothesis test. However, it does provide us with the test statistic and critical value for a 0.05 significance level, allowing us to make a decision based on whether or not the test statistic falls within the rejection region. Looking at the choices, we see that only choice D rejects the null hypothesis, meaning that the proportions are not equal, and concludes that the treatment appears to be effective. Therefore, D is the best choice.

The Table Below Summarizes Results from an Experiment in Which