Ancestry and Region. The U.S. Census Bureau collects information on the U.S. population by ancestry and region of residenc and publishes the results in American Community Survey. Accordin; to that document, 18 % of the population resides in the Northeast.

a. If ancestry and region of residence are not associated, wha percentage of Americans of Irish ancestry would reside in the Northeast?

b. There are roughly 37 million Americans of Irish ancestry. If ancestry and region of residence are not associated, how many Americans of Irish ancestry would reside in the Northeast?

c. There are, in fact, 9.25 million Americans of Irish ancestry who reside in the Northeast. Given this information and your answer to part (b), what can you conclude?

Short Answer

Expert verified

Pie Charts Advantage:

Pie charts are simple to create, understand, and use.

Pie Charts Disadvantage:

To begin with, pie charts with too many parts seem sloppy and are difficult to comprehend; consequently, pie charts are best used when comparing less than five categories

Step by step solution

01

Diagram

The following is a bar chart of the supplied data:

02

Diagram

The following is the pie chart for the supplied data.

We can readily claim that "Republican" is less than "Other" from the above bar chart since "Republican" is represented to the left of "Other" on the horizontal axis, but we can't say the same from the pie chart.

03

Definition

Pie Charts Advantage:

Pie charts are simple to create, understand, and use. They're used to show categorical data or variable values. They're simply circles split into segments or categories that represent the percentage of variables in respect to the whole. The segments are compared using percentages, with the total being equivalent to 100% .

Pie Charts Disadvantage:

To begin with, pie charts with too many parts seem sloppy and are difficult to comprehend; consequently, pie charts are best used when comparing less than five categories. Furthermore, if the categories' values are too close, the pie chart will be difficult to read since the segments would be too small.

04

Definition

Bar charts advantage

These are simple to comprehend since they are made up of rectangular bars that vary in height or length depending on their value or frequency. These graphs allow you to compare many features at once.

Data is presented and compared using bar graphs. An x-axis is used in a horizontal bar graph, whereas a y-axis is used in a vertical bar graph. The scales are the numbers that appear on the axes. A numeric or category variable is represented by each bar. The easiest way to compare time series data and frequency distribution is to use vertical bar graphs. When the category labels are long, horizontal bar graphs are more useful than vertical bar graphs, which don't have as much area for text labels.

Bar charts disadvantage

Graph categories can be reordered to highlight certain impacts, and these graphs only employ discrete data.

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Most popular questions from this chapter

In each of the given Exercises, we have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x, and y, of a population. For each exercise, perform the following tasks.

a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total.

b. Determine the value of the chi-square statistic.

c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.

In each of Exercises 12.18-12.23, we have provided a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.

Distribution: 0.2,0.1,0.1,0.3,0.3

Observed frequencies: 29,13,5,25,28

Significance level =0.10

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

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 case, decide whether Assumptions 1and 2for using chi-square goodness-of-fit test are satisfied.

Sample size:n=50.

Relative frequencies:0.20,0.20,0.25,0.30,0.05.

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