According to a recent census, 29% of all families in Quebec were common-law couples. In order to test-market products to common-law couples, you need to select a city with a large percentage of this type of family. Suppose you survey 100 randomly selected families in Montreal and find that 35% of them are common-law couples. After completing your survey, you read in a newspaper about another survey done in Montreal by a reputable survey company that used a sample size of 400 families and found that 33% of them are common-law couples. Using hypothesis tests and confidence intervals, estimate the proportion of common-law couples in Montreal and whether it’s higher than the provincial average at the 5% significance level. Comment on the different results from the two surveys.