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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.40 (page 657)

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.

Short Answer

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The graph:

Step by step solution

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Given data:

Explanation

$α = 0.05$ So take decision "reject the null hypothesis $H_{0}$ "because p-value $< α$ so $p -$ value is $0$ .

As a result of "rejecting the null hypothesis," the alternative hypothesis was accepted, and there is sufficient data to suggest that self-reported ethnicity is influenced by daily smoking levels.

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Most popular questions from this chapter

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

The test for independence uses tables of observed and expected data values.

The marital status distribution of the U.S. male population, ages $15$ and older, is as shown in Table 11.35.

Martial Status	Percent	Frequency
never married	31.3
married	56.1
widowed	2.5
divorced /separated	10.1

Table $11.42$ contains information from a survey among $499$ participants 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)
$20 - 30$	$22.4$	$122$
$31 - 40$	$18.6$	$104$
$41 - 50$	$12.8$	$78$
$51 - 60$	$10.4$	$64$
$61 - 70$	$35.8$	$168$

Table $11.42$

Do families and singles have the same distribution of cars? Use a level of significance of $0.05$ . Suppose that $100$ randomly selected families and $200$ randomly selected singles were asked what type of car they drove: sport, sedan, hatchback, truck, van/SUV. The results are shown in Table $11.20 .$ Do families and singles have the same distribution of cars? Test at a level of significance of $0.05$ .

A sample of $300$ students is taken. Of the students surveyed, $50$ were music students, while $250$ were not. Ninetyseven were on the honor roll, while $203$ were not. If we assume being a music student and being on the honor roll are independent events, what is the expected number of music students who are also on the honor roll?

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Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.

Short Answer

Step by step solution

Given Information

Explanation

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