Consider the following two questions designed to assess quantitative literacy: a. what is 15% of 1000? b. a store is offering a 15% off sale on all tvs. the most popular television is normally priced at 51000. how much moneywould a customer save on the television during this sale? suppose the first question is asked of 200 randomly selected college students, with 164 answering correctly; the secondone is asked ofa different random sample of 200 college students, resulting in 140 correct responses (the samplepercentages agree with those given in the article 'using the right yardstick: assessing financial literacy measures by wayof financial well-being," j. of consumer affairs, 2013: 243-262: the investigators found that those who answered suchquestions correctly, particularly questions with context, were significantly more successful in their investment decisionsthan those who did not answer correctly). carry out a test of hypotheses at significance level .05 to decide if the trueproportion of correct responses to the question without context exceeds that for the one with context