A sample of 20 people is used to estimate the proportion of people who support the local soccer team over other soccer teams in the league. Based on that sample, simulations are done to get a sense of the sampling distribution. The proportions for 10 of those simulated samples are listed here.

• 0.85
• 0.70
• 0.75
• 0.80
• 0.65
• 0.80
• 0.60
• 0.75
• 0.85
• 0.75

1. What does the proportion 0.85 mean for the first simulated sample?
2. The mean of the sample distribution is 0.75 and the standard deviation is 0.08. What margin of error should be used for the estimate of the population proportion?

A scientific report says that the proportion of the population that is left-handed is 0.10 with a margin of error of 0.02.

1. Is 0.07 a plausible estimate for the proportion of the population that is left-handed? Explain your reasoning.
2. Is 0.087 a plausible estimate for the proportion of the population that is left-handed? Explain your reasoning.
3. Is 0.128 a plausible estimate for the proportion of the population that is left-handed? Explain your reasoning.

Create a dot plot that displays a symmetric distribution with at least 9 data values.