Probability that the sample proportion will differ

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1. A quality-control analyst wants to estimate the proportion of imperfect jeans in a large warehouse. The analyst plans to select the random sample of 500 pairs of jeans and note the proportion of imperfect pairs. If the actual proportion in the entire warehouse is 0.35, what is the probability that the sample proportion will differ from the population proportion by more than 0.05?

2. Fifty-five percent of a television viewing population watched a fantastically popular program called Name that Variable with host Bart Hart last Thursday evening. What is the probability that, in a random sample of 100 viewers, less than 50 percent watched the program?

Reference no: EM132848229

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