Answer:
To create a 95% confidence interval for the population proportion of businesses that ban smoking on their premises, we can use the following formula:
Point estimate ± 1.96 * standard error
Where the point estimate is the sample proportion (130/200 = 0.65), and the standard error is the standard deviation of the sampling distribution of the sample proportion, which can be calculated as:
Standard error = √(sample proportion * (1 - sample proportion) / sample size)
Plugging in the values, we get:
0.65 ± 1.96 * √(0.65 * (1 - 0.65) / 200)
Which simplifies to:
0.65 ± 0.039
Therefore, the 95% confidence interval for the population proportion of businesses that ban smoking on their premises is (0.611, 0.689).
Step-by-step explanation:
SELF EXPLANATORY