As the number of men with lung cancer declines, the American Cancer Society estimates that 73,020 women will die in the United States of lung cancer this year, more than those who will die from breast, ovarian and uterine cancers combined. While no national studies have yet been done, many lung cancer specialists say they are seeing a disturbing trend of more and more non-smoking women with the disease. Based on one study, it is estimated that 10 to 15 percent of lung cancer victims are non-smokers. Suppose the range from 10 to 15 percent actually represents a 95 confidence interval. Is the following statement about the 95 confidence level true or false? If repeated samples of the same sizes were obtained, we would expect 95 of the resulting intervals to contain the population proportion of lung cancer victims that are non-smokers.
Question 2
Suppose that 60 of all teenagers both boys and girls are classified as having good grades. Independent random samples of 537 boys and 689 girls who go to school in the Washington, DC, area are to be selected and surveyed and the proportions of teenagers with good grades are to be calculated. What is the standard deviation of the sampling distribution of the difference between the two sample proportions (boys girls)?
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