A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 311 households is selected from...

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Extracted text: A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 311 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 0.31? There is a probability that the sample proportion of households spending more than $125 a week is less than 0.31. Round the answer to 4 decimal places.