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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 11: Q.15 (page 654)

Use the following information to answer the next nine exercise: The following data are real. the cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table 11.29
The percentage of each ethnic group in Santa Clary Country is as in Table shown below
$H_{0}$ :------

Short Answer

Expert verified

$H_{0}$ : The ethnicities of Santa Clara County's general population are reflected in the distribution of AIDS cases.

Step by step solution

01

Given Information

The cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table shown below

The percentage of each ethnic group in Santa Clary Country is as in Table shown below

we have to determine $H_{0}$

02

explanation

The following is the null hypothesis for the given case:

$H_{0}$ : The ethnicities of Santa Clara County's general population are reflected in the distribution of AIDS cases.

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Most popular questions from this chapter

In 2007, the United States had 1.5 million homeschooled students, according to the U.S. National Center for Education Statistics. In Table 11.56 you can see that parents decide to homeschool their children for different reasons, and some reasons are ranked by parents as more important than others. According to the survey results shown in the table, is the distribution of applicable reasons the same as the distribution of the most important reason? Provide your assessment at the

5% significance level. Did you expect the result you obtained?

A sample of $212$ commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. Table $11.41$ shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the $5$ % significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values.

Business Type	Number in class	Observed Number that recycles one commodity	Expected number that recycles one commodity
office	$35$	$19$	$17.5$
Retail/ Wholesale	$48$	$27$	$24$
Food/ Restaurants	$53$	$35$	$26.5$
Manufacturing/ Medical	$52$	$21$	$26$
Hotel/Mixed	$24$	$9$	$12$

Table 11.41

The City of South Lake Tahoe, CA, has an Asian population of $1, 419$ people, out of a total population of $23, 609$ . Suppose that a survey of $1, 419$ self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

$\begin{array}{l} Race & Lake Tahoe Frequency & Manhattan Frequency \\ Asian Indian & 131 & 174 \\ Chinese & 118 & 557 \\ Filipino & 1, 045 & 518 \\ Japanese & 80 & 54 \\ Korean & 12 & 29 \\ Vietnamese & 9 & 21 \\ Other & 24 & 66 \end{array}$

Is there a difference between the distribution of community college statistics students and the distribution of university statistics students in what technology they use on their homework? Of some randomly selected community college students, 43 used a computer, 102 used a calculator with built in statistics functions, and 65 used a table from the textbook. Of some randomly selected university students, 28 used a computer, 33 used a calculator with built in statistics functions, and 40 used a table from the textbook. Conduct an appropriate hypothesis test using a 0.05 level of significance.

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

chi-square test statistic = ________

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