A new brand of breakfast cereal is being market tested. 100 boxes of cereal were given to consumers to try. The consumers were asked whether they liked or disliked the cereal. You're given their responses below.
| Response |
Frequency |
| Liked |
60 |
| Disliked |
40 |
| |
100 |
a. Find out the point estimate of proportion of people who like the cereal?
b. Develop a 95% confidence interval for proportion of all consumers who will like the cereal.
c. What is the margin of error for 95% confidence interval which you constructed in part b?
d. With a .95 probability, how large of a sample needs to be taken to provide a margin of error of .09 or less?