Question

A. According to a 2009 Reader's Digest article, people throw away about 10% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 192 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.18?

Note: You should keep at least 4 decimal places for any intermediate calculations you make to match wamap's approach and calculations.

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

B. Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 162 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.3?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

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

C. In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 107. What is the probability that the sample proportion will be at least 3 percentage points higher than the population proportion?

Note: You should carefully round any z-values you calculate to at least 4 decimal places to match wamap's approach and calculations.

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

D. Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 113 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.35?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

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

E. A Food Marketing Institute found that 43% of households spend more than $125 a week on groceries. Assume the population proportion is 0.43 and a simple random sample of 96 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.22 and 0.45?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Do not use tables unless specifically told to.

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

Answer 1