A political candidate has asked you to conduct a poll to determine what percentage of people support her. From a random sample of 500, 324 said they would support the candidate. A 95% confidence interval is constructed. 1) In words, define the random variable X a. X is the proportion of people from the sample who support the candidate b. X is the number of people from the sample who support the candidate c. X is the number of people from the population who support the candidate 2) In words, define the random variable P̂ a) P̂ is the proportion of people from the sample who support the candidate b) P̂ is the number of people from the sample who support the candidate c) P̂ is the proportion of people from the population who support the candidate
A political candidate has asked you to conduct a poll to determine what percentage of people support her. From a random sample of 500, 324 said they would support the candidate. A 95% confidence interval is constructed.
1) In words, define the random variable X
a. X is the proportion of people from the sample who support the candidate
b. X is the number of people from the sample who support the candidate
c. X is the number of people from the population who support the candidate
2) In words, define the random variable P̂
a) P̂ is the proportion of people from the sample who support the candidate
b) P̂ is the number of people from the sample who support the candidate
c) P̂ is the proportion of people from the population who support the candidate
Given data is appropriate for z-test for single proportion because it is a large sample test.
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