Final answer:
To determine the percentage of adults in states that allow online gambling who gamble online, you need to conduct a survey using the formula to calculate the sample size needed to estimate a proportion.
Step-by-step explanation:
To determine the percentage of adults in states that allow online gambling who gamble online, you need to conduct a survey. The formula to calculate the sample size needed to estimate a proportion is:
Sample Size = (Z2 * p * (1-p)) / E2
Where Z is the Z-value associated with the desired confidence level, p is the estimated proportion of adults who gamble online, and E is the desired margin of error.
For example, if you want a 99% confidence level and you estimate that 50% of adults gamble online, and you want a margin of error of 3%, then the sample size needed can be calculated as follows:
Sample Size = (2.5762 * 0.5 * (1-0.5)) / 0.032 = 1799.467
So you would need to survey approximately 1800 adults.