Question

1. Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 112 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.27?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

2. Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample of 190 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.21 and 0.34?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

3. According to a 2009 Reader's Digest article, people throw away about 9% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 107 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.17?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

4. A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proportion is 0.3 and a simple random sample of 383 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.29?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

Answer 1