Question

The most recent public health statistics available indicate that 13.4 ​% of American adults smoke cigarettes. Using the​ 68-95-99.7 Rule, describe the sampling distribution model for the proportion of smokers among a randomly selected group of 70 adults. Be sure to discuss your assumptions and conditions.

Describe the sampling distribution.

There is a​ 68% chance that between _​% and __% are​ smokers, a​ 95% chance that between ___% and ___​% are​ smokers, and a​ 99.7% chance that between ___% and __​% are smokers.

​(Round to one decimal place as​ needed.)

Discuss your assumptions and conditions. Select all conditions that are met below.

The​ 10% Condition

The Randomization Condition

The​ Success/Failure Condition

No conditions are met.

Answer 1

Sample proportion

and standard deviation for sampling distribution of proportion

10% condition is met because sample is small as comapred to entire population

Randomization condition met because sample data is randomly selected.

success and failure condition not met because np = 70*0.134 = 9.38 < 10

select only first two conditions