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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.20 (page 655)

p-value = _______

Short Answer

Expert verified

$p -$ value is zero.

Step by step solution

Given Information

Given data:

$\begin{array}{l} Ethnicity & \begin{array}{l} Percentage of total county \\ population \end{array} & \begin{array}{l} Number expected (round to two \\ decimal places) \end{array} \\ White & 42.9 % & 1748.18 \\ Hispanic & 26.7 % \\ \begin{array}{l} BlacklAfrican- \\ American \end{array} & 2.6 % \\ \begin{array}{l} Asian, Pacific \\ Islander \end{array} & 27.8 % \\ Total = 100 % \end{array}$

Explanation

To find the $p -$ value:

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Most popular questions from this chapter

A company packages apples by weight. One of the weight grades is Class $A$ apples. Class $A$ apples have a mean weight of $150 g$ , 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 Class $A$ apple package. Given the following apple weights of the batch, does the fruit comply with the Class $A$ grade 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 an avid aquarist, the average number of fish in a $20$ -gallon tank is $10$ , with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in $15$ other $20$ -gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data: $11; 10; 9; 10; 10; 11; 11; 10; 12; 9; 7; 9; 11; 10; 11$

What are the null and alternative hypotheses for a math teacher who sees if two of her classes have the same distribution of test scores.

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 $300$ recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table $11.45$ shows the data. Conduct a test of independence.

Major	$< \(50, 000$	$\) 50, 000 - \(68, 999$	$\) 69, 000 +$
English	$5$	$20$	$5$
Engineering	$10$	$30$	$60$
Nursing	$10$	$15$	$15$
Business	$10$	$20$	$30$
Psychology	$20$	$30$	$20$

Table $11.45$

What is the test statistic?

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p-value = _______

Short Answer

Step by step solution

Given Information

Explanation

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