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Chapter 11: Q. 28 (page 724)

The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202black parents, 202Hispanic parents, and 201white parents. One question asked was 鈥淎re the high schools in your state doing an excellent, good, fair, or poor job, or don鈥檛 you know enough to say?鈥� Here are the survey results:

(a) Calculate the conditional distribution (in proportions) of responses for each group of parents.

(b) Make an appropriate graph for comparing the conditional distributions in part (a).

(c) Write a few sentences comparing the distributions of responses for the three groups of parents

Short Answer

Expert verified

(a)

(b)

(c) The majority of parents have a favourable or balanced assessment of their children's high schools.

Hispanic parents believe that high school is the best and that they know the least.

In each category, the proportion of Poor opinions is nearly the same.

Step by step solution

01

Part (a) Step 1: Given information

The given data is

02

Part (a) Step 2: Explanation

We have to use the formula of probability:

Probability(p)=Number of favourableTotal number of exhaustive

For each group of parents, the conditional distribution of response can be determined as follows:

role="math" P(E鈭�B)=n(E鈭�N)nn(B)n=12202=0.0594

We may carry out this technique in the same way for all of them.

03

Part (b) Step 1: Given information

The given data is

04

Part (b) Step 2: Explanation

Let's make a comparison histogram.

The conditional probability computed in the exercise 28must have the same width and height for all bars.

05

Part (c) Step 1: Given information

The given data is

06

Part (c) Step 2: Explanation

From Part 2 of the graph (b)

The majority of parents have a favourable or balanced assessment of their children's high schools.

Hispanic parents believe that high school is the best and that they know the least.

In each category, the proportion of Poor opinions is nearly the same.

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Most popular questions from this chapter

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The category that contributes the largest component to the蠂2statistic is

(a) White.

(c) Hispanic.

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(d) Other.

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