A report states that based on the information obtained from the Centers for Disease Control and Prevention, 20% of young people ages 2-19 are obese. To test the claim, a researcher randomly selected 200 people ages 2-19 and found that 50 were obese. Test the claim that the percentage of obese people ages 2-19 is greater than 20? (a) State Null and Alternate Hypothesis. Clearly define the parameters. (b) State Test Statistic and find its value. Check conditions/ state assumptions (if any required). (c) Find the critical value(s).
A report states that based on the information obtained from the Centers for Disease Control and Prevention, 20% of young people ages 2-19 are obese. To test the claim, a researcher randomly selected 200 people ages 2-19 and found that 50 were obese. Test the claim that the percentage of obese people ages 2-19 is greater than 20?
(a) State Null and Alternate Hypothesis. Clearly define the parameters.
(b) State Test Statistic and find its value. Check conditions/ state assumptions (if any required).
(c) Find the critical value(s).
d) Carry out test of hypotheses at 1% level of significance. State statistical conclusion.
(e) State the conclusion in context of problem.
(f) Suppose you rejected Null hypothesis when the actual percentage of obese people ages 2-19 is 30, state what type of error did you make, else write no error.
(g) Calculate the probability of not concluding that the percentage of obese people is greater than 20% when the actual percentage of obese individuals is 30% for a = 0.05. (Write down the formula first and then calculate)
(h) Calculate 99% confidence interval for true average percentage of obese people ages 2-19. Clearly write down the formula first and then calculate.
Step by step
Solved in 5 steps with 3 images
