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Chapter 12: Q. 5 (page 520)

If the observed and expected frequencies for a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test matched perfectly, what would be the value of the test statistic?

Short Answer

Expert verified

As a result, pie charts and bar charts are the most used graphical representations for qualitative data.

Step by step solution

01

Definition

A pie chart is a disc with wedge-shaped parts corresponding to the qualitative data's relative frequency.

02

Definition

A bar chart shows the qualitative data's different values on one axis and the relative frequencies (or frequencies or percents) of those values on the other. A vertical bar with an eight equal to the relative frequency of each separate value represents the relative frequency of that value. The bars should not be in contact with one another.

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Most popular questions from this chapter

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.

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.

12.50 U.S. Hospitals. The American Hospital Association publishes 12.30 U.S. information about U.S. hospitals and nursing homes in Hospital Statistics. The following contingency table provides a cross classification of U.S. hospitals and nursing homes by type of facility and number of beds.

In the following questions, the term hospital refers to either a hospital or nursing home.


24 or fewer25-7475 or moreTotal
General260158635575403
Psychiatric24242471737
Chronic132236
Tuberculosis0224
Other25177208410
Total310201042606580

a. How many hospitals have at least 75 beds?

b. How many hospitals are psychiatric facilities?

c. How many hospitals are psychiatric facilities with at least 75 beds?

d. How many hospitals either are psychiatric facilities or have at least 75 beds?

e. How many general facilities have between 25 and 74 beds?

f. How many hospitals with between 25 and 74 beds are chronic facilities?

g. How many hospitals have more than 24 beds?

Studies have shown that a positive association exists between educational level and annual salary; in other words, people with more education tend to make more money.
a. Does this finding mean that more education causes a person to make more money? Explain your answer.
b. Do you think there is a casual relationship between educational level and annual salary? Explain your answer.

In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.

The National Governors Association publishes information on U.S Governors in Governors' Political Afflitiation and Term of Office. Based on that document we obtain the data on region of reidence an political party given on WeissStats site.

a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of region within each party and the marginal distribution of region.
c. Determine the conditional distribution of party within each region and the marginal distribution of party.
d. Are the variables "region" and "party" for U.S. governors associated? Explain your answer.

The t-table has entries for areas of 0.10,0.05,0.025,0.01and0.005. In contrast, the 蠂2-table has entries for those areas and for 0.995,0.99,0.975,0.95and 0.90.Explain why the t-values corresponding to these additional areas can be obtained from the existing t-table but must be provided explicitly in the 蠂2-table.
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