A proposition on the ballot needs more than 50% support in order to be approved. A random sample of 120 likely voters is taken, and 76 of them (63%) say that they support the proposition. In order to conduct a statistical analysis, the One Proportion applet was used to see if the candidate's claim is plausible. Use the dot plot generated by the applet (pictured above) to answer the questions.

a) There are 1000 dots in the simulated distribution. What does each dot represent?

• The proportion of people who support the propostion in a sample of 1000 people, if we don't know the percent of people in the population who support the proposition.
• The proportion of people who support the proposition in a sample of 120 people, if we assume that 63% of the population supports the proposition.
• The proportion of people who support the proposition in a sample of 120 people, if we assume that 50% of the population supports the proposition.
• The proportion of people who support the proposition in a sample of 1000 people, if we assume that 50% of the population supports the propostion.

b) If we switched the applet to display "Proportion of successes" then what value would the distribution be centered at?

• 0.63
• 120
• 0.5
• 60

Incorrect c) Which of the following conclusions is the most accurate to make based on our observed statistic?

• Because our statistic is usual/expected, it is plausible that the proposition has 50% support in the population.
• We conclude that the proposition has 50% support in the population.
• Because our statistic is unusual/unexpected, we have strong evidence that the proposition has more than 50% support in the population.
• We conclude that the propostion has 63% support in the population.