Income and Residence. The U.S. Census Bureau compiles information on money income of people by type of residence and publishes its finding in Current Population Reports. Independent simple random samples of people residing inside principal cities (IPC), outside principal cities but within metropolitan areas (OPC), and outside metropolitan areas (OMA), gave the following data on income level.

Residence
Income

IPCOPCOMATotal
Under \(15,000
7510646227
\)15,000-\(34,99910616161328
\)35,000-\(74,9999818352333
\)75,000 and over4810214164
Total
3275521731052

a. Identify the populations under consideration.

b. Identify the variable under consideration.

c. At the 5% significance level, do the data provide sufficient evidence to conclude that people residing in the three types of residence are non homogeneous with respect to income level?

Short Answer

Expert verified

It is obvious from the dot plot that there are more presidents between the ages of 50 and 58. The dot plot also reveals a roughly symmetric distribution.

Step by step solution

01

Given Definition

Create a dotplot for the ages of the first 44 presidents of the United States using MINITAB.

Procedure for MINITAB:

Step 1: Select Dotplot from the Graph menu.

Step 2: Click OK after selecting One Y-Simple.

Step 3: In the Graph variables section, type the relevant DATA column.

Step 4: Click the OK button.

02

Output

MINITAB OUTPUT:

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Most popular questions from this chapter

In each of Exercises 12.24-12.33, apply the chi-square goodness-of-fit test, using either the critical-value approach or theP-value approach, to perform the required hypothesis test.
An American roulette wheel contains 18red numbers, 18black numbers, and 2green numbers. The following table shows the frequency with which the ball landed on each color in 200trials.

At the 5%significance level, do the data suggest that the wheel is out of balance?

School Enrollment. The Current Population Survey from the

U.S. Census Bureau provides data on school enrollment. The following contingency table shows school enrollment below postsecondary, in thousands, by level and gender.


MaleFemaleTotal
Nursery2,3312,3774,708
Kindergarten
1,997
Elementary16,50415,734
High School8,383
16,446
Total29,363

How many prisoners a. are in state facilities?

a. have at least a college education?

b. are in federal facilities and have at most an 8th-grade education?

c. are in federal facilities or have at most an 8th-grade education?

d. in local facilities have a postsecondary educational attainment?

e. who have a postsecondary educational attainment are in local facilities?

f. are not in federal facilities?

Regarding the expected-frequency assumptions for a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test,

a. state them.

b. how important are they?

In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.

12.74 six and seven

In each of Exercises 12.11-12.16, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fir text and the sample size. In each case, decide whether Assumptions 1 and 2 for using that text are satisfied.

Sample size : n= 100.

Relative frequencies: 0.44 , 0.25 , 0.30 , 0.01.

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