Question

1. According to Healthdata.org, about 30% of American children are considered obese or overweight. What is the probability that in a random sample of 500 children, 25% or less will be obese or overweight? To assist you, please fill out the following:

a) What is p?

b) Verify that the sample is large enough to meet the requirements of the CLT:

c) Calculate the standard error (SE).

d) Sketch a shaded normal curve illustrating the probability you are trying to find. Use StatCrunch to calculate the probability.

2. In a random sample of 350 children in San Luis Obispo County, 98 were determined to be obese or overweight.  

a) What does p-hat equal for this problem?

b) Use StatCrunch to find a 95% confidence interval for the proportion of SLO County children that are obese or overweight.

95% CI = ________________________

c) Fill in the blanks:  We are ____ % confident the true population proportion of overweight children in SLO county will be between _____% and _____%.

Answer 1