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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.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Concept Introduction

The Chi-square test of independence is a statistical hypothesis test used to determine whether two categorical or nominal variables are likely to be related or not.

02

Explanation

The researcher needs to check the connection between the college or university that a student selects to attend and her socioeconomic status.

Therefore, we can apply test for independence. So the statement is true

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Most popular questions from this chapter

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 โ€œnumber of petsโ€ 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?

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

(b) at the 1%significance level Weights in selected apple batch (in grams): 158; 167; 149; 169;164; 139; 154; 150; 157 ; 171; 152; 161 ; 141; 166; 172;

According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.

Age of MalesNone<\(200,000\)200,000-\(400,000\)401,001-\(1,000,000\)1,000,001+20-294015400530-3935520201040-4920030153050+403015010

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

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

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

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