In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. In a recent poll, 403 of 1122 adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. Has the proportion of families with children under the age of 18 who eat dinner together 7 nights a week decreased? Use the α = .05 significance level.

a) state the null hypothesis and the alternative hypothesis

b) sketch the sampling distribution

c) determine the critical values and mark them on your sketch

d) determine the rejection region(s) and shade on your sketch

e) find out the standardized test statistic and mark on your sketch

f) determine whether to accept or reject the null hypothesis

g) interpret your decision in the context of the original claim. (Be sure to prepare a complete sentence as your interpretation.)

If you are using P-tests instead of the traditional method, parts c), d), and e) become
-find out the standardized test statistic
-determine the P-value