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The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?" Possible responses were Yes, No, or Not Sure. Determine:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?

Respuesta :

Answer:

(a) The sample size for this poll is, n = 762.

(b) The data is categorical.

(c) It would make more sense to use percentages as a summary of the data for this question.

(d) Approximately 511 individuals provided the response "Yes".

Step-by-step explanation:

(a)

It is provided that in a recent poll, 762 readers responded to the following question:

"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?"

The possible responses were Yes, No, or Not Sure.

So, the sample size for this poll is, n = 762.

(b)

The outcomes of the poll are:

1: Yes

2: No

3: Not Sure

The data is categorical.

Categorical data can take labels such as, Gender (M/F), indicators (0/1) and so on.

(c)

Averages can be computed only for quantitative variable.

So, it would make more sense to use percentages as a summary of the data for this question.

That is, the percentage of people saying Yes, No and Not sure.

(d)

The percentage of people saying Yes is, 67%.

Compute the number of people saying Yes as follows:

[tex]n(\text{Yes})=P(\text{Yes})\times n[/tex]

         [tex]=0.67\times 762\\=510.54\\\approx 511[/tex]

Thus, approximately 511 individuals provided the response "Yes".

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