• Based on historical data, your manager believes that 35% of the company's orders come from first-time customers. A random sample of 179 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.
• Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 62 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.19? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.
• Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 244 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion 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.
• If n=160 and pp^ (p-hat) =0.59, find the margin of error at a 99% confidence level Give your answer to three decimals
• In a recent poll, 320 people were asked if they liked dogs, and 75% said they did. Find the margin of error of this poll, at the 95% confidence level. Give your answer to three decimals
• If n = 300 and pp^ (p-hat) = 0.7, construct a 90% confidence interval.