From production line A, a sample of 500 items is selected at random, and it is
determined that 30 items are defective. In a sample of 300 items from production
process B (which produces identical items to line A), there are 12 defective items.
Determine a 95% confidence interval estimate for the difference between the
proportions of defectives in the two lines.
Before the presidential debates, it was expected that the percentages of registered voters
in favor of various candidates to be as follows.
After the presidential debates, a random sample of 1200 voters showed that 540 favored
the Democratic candidate; 480 were in favor of the Republican candidate; 40 were in
favor of the Independent candidate, and 140 were undecided. At a 5% level of
significance, test to see if the proportion of voters has changed.
In a sample of 300 shoppers, 160 indicated they prefer fluoride toothpaste, 120 favored
nonfluoride, and 20 were indifferent. At a 0.05 level of significance, test for a difference
in the preference for the two kinds of toothpaste.