1) The proportion of people at shopping mall who wear red shirtsis p = 0.18. What is the mean of the sampling distribution given asample size of 50? What is the standard deviation? (Central LimitThrorem).
2) What is the probability given a random sample of 50 people atshopping mall that more than 20% of them are wearing redshirts?
3) CONF. INT Suppose you take a random sample of 50 people atshopping mall and find that 9 were wearing red shirts. Construct a90% confidence interval for the true proportion.
4) CONF. INT] Suppose you take a random sample of 50 people atshopping mall and find that 4 were wearing red shirts. Construct a95% confidence interval for the true proportion.
5) [CONF. INT] If the true proportion is p = 0.18, which of ourconfidence intervals contains it? Which don’t?
