The sample survey interviews the SRS of 267 college women. Assume that 70% of all college women have been on diet within the past twelve months.
i) Find mean and standard deviation of sampling distribution for samples of 267 women?
ii) If we chosen 267 college women and discovered 200 of them are on diet, create the 95% confidence interval for population proportion.
iii) Is true population proportion (0.7) included in confidence interval you constructed in ii or not?
iv) If you plan to do another research about proportion of college women on diet such that margin equals to 0.06 with 99% confidence level, find sample size you require?