1. A survey of 1060 randomly selected US teens ages 13 to 17 found that 605 of them say they have made a new friend online.

a.Are the conditions met to use the CLT and normal distribution in this problem? Justify your

answer by using the success/failure formula or explaining your reasoning.

b.Find a 90% confidence interval for the proportion, p, of all US teens who have made a new friend online. Use three decimal places. Show your work please

c.Interpret your interval in context.

d.Use the interval to determine whether we can be 90% confident that more than half of US teens have made a new friend online. Explain your reasoning.

e.Find the sample size needed to give, with 95% confidence, a margin of error within 3% when estimating a proportion. Assume we have no prior knowledge about the population proportion, p. (This part is not related the survey above.)