Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure. What is the sample size for this poll? Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.) Discuss the poll in terms of the population and sample framework that we have studied in this chapter. This random sample of responses collects the opinions of a random group of users across all users of the Internet. This voluntary response sample collects only the opinions of those that visit this site every day. This random sample of responses collects the opinions of a random group of users of the particular site. This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer 1

Complete  Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.

a)

What is the sample size for this poll?

b)

Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)

c)

Discuss the poll in terms of the population and sample framework that we have studied in this chapter.

i)

This random sample of responses collects the opinions of a random group of users across all users of the Internet.

ii)

This voluntary response sample collects only the opinions of those that visit this site every day.

iii)

This random sample of responses collects the opinions of a random group of users of the particular site.

iv)

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

a

   $n = 1324$

b

  YES             $y = 48.03 \%$

    NO             $m =44.94 \%$

   NOT SURE  $m =7.02\%$

c

The correct option is (iv)

Step-by-step explanation:

From the question we are told that

The voting options are "Yes, " "No, " "Not sure, " or "Don't care."

The number of people that said is $Y = 636$

The number of people that said No is $N = 595$

The number that indicated Not sure is $S = 93$

Generally the sample size is mathematically represented as

$n = Y + N + S$

=> $n = 636 + 595 + 93$

=> $n = 1324$

Generally the percentage of responses that was Yes is mathematically represented as

$y = \frac{636}{ 1324} * 100$

=>     $y = 48.03 \%$

Generally the percentage of responses that was No is mathematically represented as

$m = \frac{595}{ 1324} * 100$

$m =44.94 \%$

Generally the percentage of responses that was Not sure is mathematically represented as

$s = \frac{93}{ 1324} * 100$

$m =7.02\%$

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.