Parents who condone spanking. In Exercise 4.55 (p.195) you read about a nationwide survey which claimed that 60% of parents with young children condone spanking their child as a regular form of punishment. (Tampa, Tribune, October 5, 2000.) In a random sample of 100 parents with young children, how many parents would need to say that they condone spanking as a form of punishment in order to refute the claim?
Exercise 4.55
Parents who condone spanking. According to a nationwide survey, 60% of parents with young children condone spanking their child as a regular form of punishment. (Tampa Tribune, Oct. 5, 2000.) Consider a random sample of three people, each of whom is a parent with young children. Assume that x, the number in the sample who condone spanking, is a binomial random variable.
a. What is the probability that none of the three parents condones spanking as a regular form of punishment for their children?
b. What is the probability that at least one condones spanking as a regular form of punishment?
c. Give the mean and standard deviation of x. Interpret the results.
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