Question

Problem 4: Antismoking Campaign (no data set is posted for this problem).

From 2005 to 2015, an intensive antismoking campaign has been sponsored by the U.S federal government. Suppose in both years, the American Cancer Society randomly and independently sampled 2,000 adults. In 2005, they discovered 418 of the 2,000 sampled defined themselves as smokers. In 2015, they discovered 302 of the 2,000 sampled defined themselves as smokers.

1. Define the population parameter in context in one sentence.

2. Calculate the two sample proportions separately and then calculate the estimate of the parameter by subtracting (2005 sample – 2015 sample). Present each of these values in your solutions.

3. Only check the large sample conditions for this inference. Show your work for the numerical calculations.

4. Construct the 90% confidence interval in StatCrunch using Proportion Stats à Two Sample à With Summary.

5. Does your confidence interval capture 0? Answer this question in one sentence and discuss what that means in relation to a two-sided hypothesis test.

Answer 1

1) Definedthemselves as Smokers is decreases as compared to 2005.

2) Large Sample condition -

Sample is enough large to be considered as normal.

3) 90% CI ( 0.038 , 0.078 )

4) confidence interval does not include the zero, then we conclude that there is a statistically significant difference between the two proportion. PL??