6.9 In response to the statement "A preschool child is likely to suffer if his or her mother works," the response categories (Strongly agree, Agree, Disagree, Strongly dis- agree) had counts (91, 385, 421, 99) for responses in a Gen- eral Social Survey. To treat this ordinal variable as quanti- tative, we assign scores to the categories. For the scores (2,1,1,2), which treat the distance between Agree and Disagree as twice the distance between Strongly agree and Agree or between Disagree and Strongly disagree, software reports----------------------------------------------

n Mean Std Dev Std Err

996 -.052 1.253 0.0397

----------------------------------------------

(a)Set up null and alternative hypotheses to test whether the population mean response differs from the neutral value, 0.

(b)Find the test statistic andP-value. Interpret, and make a decision aboutH0, using = 0.05.

(c)Based on (b), can you "accept"H0: = 0? Why or why not?

(d)Construct a 95% confidence interval for . Show the correspondence between whether 0 falls in the interval and the decision aboutH0.