The reported cancer rate for women ages 65 and older is 17 percent. The cancer rate for men ages 65 and older is 23 percent. Using these estimates as the true percentage of all females and males ages 65 and over who have been told by a health care provider that they have cancer, find the probability that the difference in the cancer percentage between men and women will be less than 5 percent when 220 women and 250 men age 65 and older are selected at random.
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