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Chapter 11: Q. 77 (page 661)

Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Short Answer

Expert verified

The actual college majors of graduating females fit the distribution of their expected majors.

Step by step solution

01

Step 1. Given information

Total frequency: \(=5000\)

02

Step 2. Calculation

\(H_{0}\) The actual college majors of graduating females fit the distribution of their expected majors

\(H_{a}\) The actual college majors of graduating females do not fit the distribution of their expected majors.

\(df=11-1=10\)

\(\chi ^{2}=11.48\)

\(\alpha=0.05\) or \(\alpha=0.01\)

\(p=0.3211\)

Since \(p\) value \(>\alpha\), the null hypothesis is not rejected. Therefore the actual college majors of graduating females fit the distribution of their expected majors.

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Most popular questions from this chapter

Is it more likely the dfis90,20,or2in the graph?

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 643members of the sports club are randomly selected. Conduct a test of independence.

Sport18-2526-3031-4041andover
racquetball42583046
tennis58763865
swimming72606533

Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown in Table. Conduct a test for homogeneity at a 5%level of significance.

French ToastPancakesWafflesOmelettesMen47352853Women65595560

The mean and the median of the chi-square distribution are the same if df=24.

use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places car manufacturers are interested in whether there is a relationship between the size of the car an individual drives and the number of people in the driver’s family (that is, whether car size and family size are independent).To test this, suppose that 800car owners were randomly surveyed with the results in Table 11.44. Conduct a test of independence.

Family SizeSub & CompactMid-sizeFull-sizeVan & Truck
1
20
35
40
35
2
20
50
70
80
3-4
20
50
100
90
5+
20
30
70
70

Table 11.44
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