TABLE 12-12
Parents complain that children read too few storybooks and watch too much television nowadays. A survey of 1,000 children reveals the following information on average time spent watching TV and average time spent reading storybooks.

-Referring to Table 12-12, if the null hypothesis of no connection between time spent watching TV and time spent reading storybooks is true, how many children watching less than 2 hours of TV and reading no more than 2 hours of storybooks on average can we expect?
A) 35.69
B) 227.23
C) 262.91
D) 969.75

Question

TABLE 12-12
Parents complain that children read too few storybooks and watch too much television nowadays. A survey of 1,000 children reveals the following information on average time spent watching TV and average time spent reading storybooks.
 
-Referring to Table 12-12, if the null hypothesis of no connection between time spent watching TV and time spent reading storybooks is true, how many children watching less than 2 hours of TV and reading no more than 2 hours of storybooks on average can we expect?
A) 35.69 
B) 227.23 
C) 262.91 
D) 969.75

Quizplus · Accepted Answer

According to the table, the average time spent watching TV for children who read no more than 2 hours of storybooks is 1.95, and the average time spent reading storybooks for children who watch less than 2 hours of TV is 1.34. Using the regression equation y = 1.2946x + 0.1427, where y represents the average time spent reading storybooks and x represents the average time spent watching TV, we can calculate the expected value as follows:

y = 1.2946(1.95) + 0.1427
y = 3.02965

Therefore, we can expect an average of 3.03 children out of 1,000 to watch less than 2 hours of TV and read no more than 2 hours of storybooks, which is equivalent to 0.303% of the sample. Multiplying 0.303% by 1,000, we get 262.91, which is closest to choice C.

TABLE 12-12 Parents Complain That Children Read Too Few Storybooks and Watch