Question

Do more than 40% of US residents eat cereal at some point each week?

1. A sentence stating the mean and standard deviation of the sampling distribution.
2. An explanation of how you collected your sample (doesn't need to be more than a sentence or two)
3. A report of your data (ex: 13 of the 30 residents ate cereal each week)
4. An interval estimate for the proportion, paired with a confidence level of your choice. You do not need to show the work. You just need to give the concluding sentence.

Answer 1

1. The sampling distribution follows a normal distribution with a mean 0.4 and standard deviation where n is the sample size.

2. Randomly asked 50 people over FB whether they eat cereal each week.

3. 26 of the 50 residents ate cereal each week.

4. Estimate of the proportion = 26/50=0.52. Let the confidence level be 95%. The 95% confidence interval is (0.3815, 0.6585).

Concluding statements: There is not sufficient evidence to support the claim that more than 40% of US residents eat cereal at some point each week.