A Food Marketing Institute found that 35% of households spend more than $125 a week on groceries. Assume the population proportion is 0.35 and a simple random sample of 125 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.27 and 0.48?

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.)

Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 188 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.31 and 0.49?

Answer =

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