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Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100private practice doctors and 150hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table

What is the test statistic?

Short Answer

Expert verified

The value of test statistic is22.50368.

Step by step solution

01

Given information

The given data is

02

Explanation

From the given table

Given Table (Observed Frequency)20-3030-4040-5050-60TotalPrivate Practice1640386100Row TotalHospital8445939150Total24849745250Column total

The formula to calculate the expected frequency is

E=(rowtotal)(columntotal)Grandtotal

Expected Frequency20-3030-4040-5050-60TotalPrivate Practice24(100)250=9.684(100)250=33.697(100)250=38.845(100)250=18100Hospital24(150)250=14.484(150)250=50.497(150)250=58.245(150)250=27150Total24849745250

Test statistics=(O-E)2E

Therefore, test statistic is

=(13.50221+9.001473)or(7.11111+2.03175+0.02749+13.33333)=22.50368.

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Most popular questions from this chapter

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

Read the statement and decide whether it is true or false.

In a goodness of fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis

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 College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that 300recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table 11.45shows the data. Conduct a test of independence.

Major<\(50,000
\)50,000-\(68,999\)69,000+
English5
205
Engineering10
3060
Nursing10
1515
Business10
20
30
Psychology20
3020

Table11.45

The expected percentage of the number of pets students have in their homes is distributed (this is the given distribution for the student population of the United States) as in Table 11.12.

Number of PetsPercent0181252303184+9

A random sample of 1,000students from the Eastern United States resulted in the data in Table 11.13.

Number of PetsFrequency02101240232031404+90

At the 1% significance level, does it appear that the distribution “number of pets” of students in the Eastern United States is different from the distribution for the United States student population as a whole? What is the p-value?

Read the statement and decide whether it is true or false.

The test to use when determining if the college or university a student chooses to attend is related to his or her socioeconomic status is a test for independence.

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