A candidate claims that she has 60% support from the general electorate. A random sample of 40 likely voters is taken, and 21 of them (53%) say that they support the candidate. 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 following questions. a) There are 100 dots in the simulated distribution. What does each dot represent? The proportion of people who support the candidate in a sample of 100 people, if we don't know the percent of people in the population who support the candidate. The proportion of people who support the candidate in a samp
A candidate claims that she has 60% support from the general electorate. A random sample of 40 likely voters is taken, and 21 of them (53%) say that they support the candidate. 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 following questions.
a) There are 100 dots in the simulated distribution. What does each dot represent?
- The proportion of people who support the candidate in a sample of 100 people, if we don't know the percent of people in the population who support the candidate.
- The proportion of people who support the candidate in a sample of 40 people, if we assume that 53% of the population supports the candidate.
- The proportion of people who support the candidate in a sample of 40 people, if we assume that 60% of the population supports the candidate.
- The proportion of people who support the candidate in a sample of 100 people, if we assume that 60% of the population supports the candidate.
b) If we switched the applet to display "Number of successes" then what value would the distribution be centered at?
- 21
- 24
- 53
- 60
c) Which of the following conclusions is the most accurate to make based on our observed statistic?
- We conclude that the candidate has 53% support in the population.
- Because our statistic is usual/expected, it is plausible that the candidate has 60% support in the population.
- Because our statistic is unusual/unexpected, we have strong evidence that the candidate does not have 60% support in the population.
- We conclude that the candidate has 60% support in the population.
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