Question

A radio talk show host is interested in the proportion P student submitted image, transcription available belowof adults in his listening area who think the drinking age should be lowered to 18. To make this determination, he poses the following question to his listeners: "Do you think that the drinking age should be reduced to eighteen in light of the fact that eighteen-year-olds are eligible for military service?" He asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not. Of the 200 people who phoned in, 140 answered "yes." The standard error for the proportionstudent submitted image, transcription available below P of those who phoned in and answered "yes" is?

A. 0.032.
B. 0.00105.
C. 0.46.

Answer 1

The standard error for the proportion P is 0.032.

Therefore, the correct answer is: option a) 0.032

Step-by-step explanation:

The standard error for the proportion P of those who phoned in and answered 'yes' can be calculated using the formula: Standard Error (SE) = sqrt((P(1-P))/n)

{ Where P is the proportion of people who answered 'yes' and n is the sample size }.

In this case, 140 out of 200 people answered 'yes', so the proportion is 140/200

= 0.7.

Plugging in these values into the formula, we get:

SE = sqrt((0.7(1-0.7))/200)

= sqrt(0.21/200)

= 0.032

Therefore, the standard error for the proportion P is 0.032.