In a Harris poll, adults were asked if they are in favor of abolishing the penny. Among the responses,1229 answered "no," 484 answered "yes," and 400 had…

Question

asked Jul 17, 2020 209k views

1 Answer

Gabor Lengyel · Answer 1 · 2020-07-23T22:18:37+0000

Answer:

C.^p=0.229The symbol p with caret<="">p is used to represent a sample proportion.

Explanation:

Data given

1229 people answered "no"

484 people answered "yes"

400 people had no opinion

The grand total is 1229+484+400=2113 people

Let p= true proportion of yes responses for the population

$\hat p$ the proportion of yes estimated in th sample

Solution to the problem

The estimate population proportions is givn by the following formula:

$\hat p = (X)/(n)$

Where X represent the people with a characteristic specified and n the sample size. For our case we have this:

$\hat p =(484)/(2113)=0.229$

If we analyze one by one the possible options we have this:

A.p=0.229 The symbol p is used to represent a sample proportion

False the estimated proportion
$\hat p$ is not equal to the population proportion p

B.^p=0.283 The symbol ^p is used to represent a sample proportion.

False, the estimated proportion of yes was 0.229 not 0.283

C.^p=0.229 The symbol p with caret<="">p is used to represent a sample proportion.

True, the estimated proportion of yes is 0.229 and the correct way to express the estimation is
$\hat p$

D.p=0.283 The symbol p is used to represent a sample proportion.

False, the estimated proportion is 0.229 and not 0.283.