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Chapter 12: Q. 12.48 (page 500)

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?

Short Answer

Expert verified

(a) 8 cell

(b)


MaleFemaleTotal
Nursery2,3312,3774,708
Kindergarten2,1351,9974,132
Elementary16,50415,73416,446
High School8,3838,05316,446
Total29,36328,16157,524

(c)The total enrollment is 57,524 Thousands

(d)The number of female students is 28,161 Thousands.

(e)The total number of students in high school 16,446 thousands.

(f)The number of students male in kindergartener is 2,135 thousands

Step by step solution

01

Step 1. Given 

The given Contingency table is



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

02

Step 2.  Total number of cell 

There are 8 cell in contingency table

03

Step 3. Finding the missing value 



MaleFemaleTotal
Nursery2,3312,3774,708
Kindergarten2,1351,9974,132
Elementary16,50415,73416,446
High School8,3838,05316,446
Total29,36328,16157,524
04

Step 4. Finding the total enrollment 

The total enrollment is 57,524 Thousands

05

Step 5. Finding the number of students of female

The number of female students is 28,161 Thousands.

06

Step 6. Finding the total number of students in high school

The total number of students in high school 16,446 thousands.

07

Step 7. Finding the number of students male in kindergartener

The number of students male in kindergartener is 2,135 thousands

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Most popular questions from this chapter

The chi-square goodness-of-fit test provides a method for performing a hypothesis test about the distribution of a variable that has c possible values. If the number of possible values is 2, that is, c=2, the chi-square goodness-of-fit test is equivalent to a procedure that you studied earlier.

a) Which procedure is that? Explain your answer.

b) Suppose that you want to perform a hypothesis test to decide whether the proportion of a population that has a specified attribute is different from p_0. Discuss the method for performing such a test if you use (1) the one-proportion z-test (page 463) or (2) the chi-square goodness-of-fit test.

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

The U.S. Census Bureau complies data on the U.S. population by region and race and publishes its finding in Current Population Reports. Independent simple random samples of residents in the four U.S. regions gave the following data on race.

At the 1%significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the four U.S. regions?

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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.

Consider a variable of several populations. Define the terms homogeneous and nonhomogeneous in this context.
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