A car dealer plans to take a customer satisfaction survey with a sample size of 100 customers. Assume that p = 0.50 is the probability that a randomly selected customer is satisfied. Use the sampling distribution of the proportion to find a range that approximately 95% of random samples should fall between. Assume that p = 0.80 is the probability that a randomly selected customer is satisfied. Use the sampling distribution of the proportion to find a range that approximately 95% of random samples should fall between. The car dealer finds that 75/100 customers are satisfied. Based on this sample, which assumption was more realistic: p = 0.50 or p = 0.80 ? Explain your reasoning.

MATLAB: An Introduction with Applications
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  1. A car dealer plans to take a customer satisfaction survey with a sample size of 100 customers.
    1. Assume that p = 0.50 is the probability that a randomly selected customer is satisfied. Use the sampling distribution of the proportion to find a range that approximately 95% of random samples should fall between.
    2. Assume that p = 0.80 is the probability that a randomly selected customer is satisfied. Use the sampling distribution of the proportion to find a range that approximately 95% of random samples should fall between.
    3. The car dealer finds that 75/100 customers are satisfied. Based on this sample, which assumption was more realistic: p = 0.50 or p = 0.80 ? Explain your reasoning.
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