A random sample of 40 television viewers was asked if they had watched the current week’s Lost episode. The following data represent their responses:

no no no yes no no no yes no yes no no no yes no no no no yes no yes no no no no yes no no no no no no no no no no no no no no

a. Calculate the proportion of viewers in the sample who indicated they watched the current week’s episode of Lost.

b. Compute a 95% confidence interval for the proportion of viewers in the sample who indicated they watched the current week’s episode of Lost.

c. Calculate the smallest sample size that would produce a margin of error of 0.025 if the population proportion is well represented by the sample proportion in part a.