Question

Jackie received 78% of the votes in an election. in a random sample of 40 eligible voters, 28 said they voted for jackie. which answer represents p and p?

Answer 1

In this statistical problem, a. X represents the number of votes reported for Jackie from the sample, b. n is the size of the voter sample, and c. p' is the sample proportion of votes for Jackie. The random variable X is the count of Jackie's votes in the sample, and P' (p-hat) is the proportion of those votes.

Step-by-step explanation:

The question centers around the concept of determining proportions and using confidence intervals in the context of a voting example from a statistics perspective. To answer the question about Jackie's votes:

• a. X = The number of voters who said they voted for Jackie.
• b. n = The total number of voters in the sample.
• c. p' = The sample proportion of voters who said they voted for Jackie.

The random variable X represents the number of votes for Jackie among the sample of eligible voters while P' (or p-hat) represents the sample proportion of those votes. Given that 28 out of 40 randomly selected eligible voters reported voting for Jackie, we can calculate P' as follows:

P' = X/n = 28/40 = 0.7 or 70%

This can then be used to assess the accuracy of the reported election result of 78% using confidence intervals and hypothesis testing, depending on additional information provided.

Answer 2

The answer to this question is C since 78% of the votes in an election. in a random sample of 40 eligible voters, 28 said they voted for jackie.