SCENARIO 12-13
Recent studies have found that American children are more obese than in the past. The amount of time children spent watching television has received much of the blame. A survey of 100 ten-yearolds revealed the following with regards to weights and average number of hours a day spent watching television. We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance.
-Referring to Scenario 12-12,suppose we want to constrain the probability of committing a Type I error to 5% when testing whether there is any relationship between average time spent watching TV and average time spent reading story books,the critical value will be
A)5.991
B)7.378
C)12.592
D)14.449

Question

SCENARIO 12-13
Recent studies have found that American children are more obese than in the past. The amount of time children spent watching television has received much of the blame. A survey of 100 ten-yearolds revealed the following with regards to weights and average number of hours a day spent watching television. We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance. 
-Referring to Scenario 12-12,suppose we want to constrain the probability of committing a Type I error to 5% when testing whether there is any relationship between average time spent watching TV and average time spent reading story books,the critical value will be
A)5.991 
B)7.378 
C)12.592 
D)14.449

Quizplus · Accepted Answer

The critical value for a significance level of 1% with 1 degree of freedom (df = n-1) is 6.635. However, since we want to constrain the probability of a Type I error to 5% (which is the same as a significance level of 0.05), we need to divide this critical value by 2 since it is a two-tailed test. This gives us a critical value of 5.991.

SCENARIO 12-13 Recent Studies Have Found That American Children Are More Obese