TABLE 12-11
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 12-11, if the null hypothesis of no connection between time spent watching TV and time spent reading story books is true, how many children watching less than 2 hours of TV and reading no more than 2 hours of story books on average can we expect?
A) 35.69
B) 227.23
C) 262.91
D) 969.75

Question

TABLE 12-11
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 12-11, if the null hypothesis of no connection between time spent watching TV and time spent reading story books is true, how many children watching less than 2 hours of TV and reading no more than 2 hours of story books on average can we expect?
A) 35.69 
B) 227.23 
C) 262.91 
D) 969.75

Quizplus · Accepted Answer

To answer this question, we need to look at the row and column totals for the cells where children watch less than 2 hours of TV and read no more than 2 hours of story books. 
Row 1 (watching less than 2 hours of TV): 
- 394 children watch less than 2 hours of TV 
- 348 of these children also read no more than 2 hours of story books

Column 1 (reading no more than 2 hours of story books): 
- 531 children read no more than 2 hours of story books 
- 348 of these children also watch less than 2 hours of TV

To find the expected value, we need to multiply the row and column totals and divide by the total number of children: 
(394/1000) * (531/1000) * 1000 = 209.66

Therefore, we can expect 209.66 children to watch less than 2 hours of TV and read no more than 2 hours of story books on average if there is no connection between the two variables. This value is closest to choice C, 262.91.

TABLE 12-11 Parents Complain That Children Read Too Few Storybooks and Watch