Question

Jackie received 68% of the votes in an election. In a random sample of 30 eligible voters, 18 said they voted for Jackie.

Which answer represents p and pˆ ?
p=0.82, pˆ=0.68

p=0.68, pˆ=0.82

p=0.68, pˆ=0.6

p=0.6, pˆ=0.68

Answer 1

p = 0.68 and p^ = 0.6

Explanation:

Jackie received 68% of the votes in an election.

Here p is the decimal equivalent of 68 %.Hence ,

p = 0.68

Now we have taken a sample of 30 people from the total number of voters and we have to find the percentage of votes that Jackie gets in this .

Out of 30 people Jackie got 18 votes. Hence,

p^ =
`(18)/(30)` = 0.6

Hence the values are

p = 0.68 and p^ = 0.6

In the random sample we have taken the probability of Jackie has decreased but it will be compensated by another sample where it will be more.