Please help me with these problems. Thank you!
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 154 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.24 and 0.46? Answer = l:] (Enter your answer as a number accurate to 4 decimal places.) Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 87 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.) Based on historical data, your manager believes that 26% 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 less than 0.3? Answer = C] (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 100 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.3? Answer = C] (Enter your answer as a number accurate to 4 decimal places.) Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample of 219 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 0.47? Answer = C] (Enter your answer as a number accurate to 4 decimal places.) According to a 2009 Reader's Digest article, people throw away approximately 11% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.17? Answer = [3 (Enter your answer as a number accurate to 4 decimal places.) 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 466 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 0.32? Answer = [3 (Enter your answer as a number accurate to 4 decimal places.)