You have been hired by a new poultry company, Abdulla's fresh chicken. The company has developed a series of billboards and newspaper ads to promote their product. The reaction in an overseas test market has been positive and you have been hired to gauge the response of North American consumers. You show the billboard to 64 consumers and receive a 25% positive response.

Calculate the 95% confidence interval for the true population proportion of consumers who like the ads.

Calculate the 90% confidence interval for the true population proportion of consumers who like the ads.

You would like your margin of error to be less than .07. How large a sample must you pick at the 95% level of confidence?

The company has decided to re-work it ads and would like you test its new ads. How large a sample must you select to have a margin of error of 5% or less at 95% confidence?

You survey 100 consumers and find 70% like the new ads. Construct a 90% confidence interval for the true proportion of consumers who like the new ads.