Attached You operate a restaurant. You read that a sample survey by the National Restaurant Association shows that 25% of adultsare committed to eating nutritious food when eating away from home. To help plan your menu, you decide to conduct asample survey in your own area. You will use random digit dialing to contact an SRS of 200 households by telephone.(a) If the national result holds in your area, is it reasonable to use the binomial distribution with n = 200 and p =0.25 to describe the count X of respondents who seek nutritious food when eating out? Explain why.O Yes; the binomial conditions are not met but the law of large numbers says we can still use thisdistribution.O No; the binomial conditions are not met and the sample size is small compared to the populationsize.O No; the binomial conditions are met but the sample size is small compared to the population size.O Yes; the binomial conditions are met and the sample size is small compared to the population size.(b) What is the mean number of nutrition-conscious people in your sample if p = 0.25 is true?What is the standard deviation?(c) What is the probability that X lies between 45 and 55? Make sure that the rule of thumb conditions are satisfied,and then use a normal approximation to answer the question.

Name: Attached You operate a restaurant. You read that a sample survey by th
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: Attached You operate a restaurant. You read that a sample survey by the National Restaurant Association shows that 25% of adultsare committed to eating nutritious food when eating away from home. To help plan your menu, you decide to conduct asample