Pearson eText for Statistical Reasoning for Everyday Life -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137561544
Author: Jeffrey Bennett, William Briggs
Publisher: PEARSON+
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Textbook Question
Chapter 10.2, Problem 16E
Complete Hypothesis Test. In Exercises 15–22, carry out the following steps.
- a. State the null and alternative hypotheses.
- b. Assuming independence between the two variables, find the expected frequency for each cell of the table.
- c. Find the value of the χ2 statistic.
- d. Use the given significance level to find the χ2 critical value.
- e. Using the given significance level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim.
16. Texting and Seat Belt Use. In a study of high school students at least 16 years of age, researchers obtained the survey results summarized in the accompanying table (based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Use a 0.05 significance level to test the claim of independence between texting while driving and irregular seat belt use. Are those two risky behaviors independent of each other?
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P -Values. In Exercises 17–20, do the following:
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b. Find the P-value. (See Figure 8-3 on page 364.)
c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = 2.01 is obtained when testing the claim that p ≠ 0.345.
The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the
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level of significance.
Category 1
Category 2
Category 3
Failures
32
51
57
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39
54
73
State the hypotheses. Choose the correct answer below.
A.
H0:
The
categories of the variable
and
success and failure
are independent.
H1:
The
categories of the variable
and
success and failure
are dependent.
B.
H0:
The
categories of the variable
and
success and failure
are dependent.
H1:
The
categories of the variable
and
success and failure
are independent.
C.
H0:
p1=p2=p3
H1:
At least one of the proportions is different from the others.
D.
H0:
μ1=E1
and
μ2=E2
and
μ3=E3
H1:
At least one mean is different from what is expected.
What is the P-value?
nothing
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What conclusion can be…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data
for February in two consecutive years are as follows.
Let P₁ = population proportion of rooms occupied for current year
P2 = population proportion of rooms occupied for previous year
Occupied Rooms
Total Rooms
1,360
1,700
1,309
1,700
a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period.
Ho P1 P2 - Select your answer -
Ha P₁ P2 - Select your answer -
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?
Current Year
Current year
Previous Year
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
p-value =
Using a 0.05 level of significance, what is your conclusion?
Previous Year
-
We - Select your answer that there…
Chapter 10 Solutions
Pearson eText for Statistical Reasoning for Everyday Life -- Instant Access (Pearson+)
Ch. 10.1 - t Distribution. What is the t distribution? What...Ch. 10.1 - Degrees of Freedom. How do you determine the...Ch. 10.1 - Prob. 3ECh. 10.1 - Hypothesis Test. Briefly summarize the procedure...Ch. 10.1 - Does It Make Sense? For Exercises 58, determine...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Confidence Intervals. In Exercises 918, use the t...Ch. 10.1 - Confidence Intervals. In Exercises 918, use the t...
Ch. 10.1 - Elbow-to-Fingertip Length of Men. A simple random...Ch. 10.1 - Earthquake Epicenter Depths. A simple random...Ch. 10.1 - Hospital Costs with Seat Belts. A study was...Ch. 10.1 - Prob. 14ECh. 10.1 - Estimating Car Pollution. Each car in a sample of...Ch. 10.1 - Movie Lengths. Listed below are lengths (in...Ch. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Hypothesis Tests. In Exercises 1928, test the...Ch. 10.1 - Prob. 20ECh. 10.1 - Hypothesis Tests. In Exercises 1928, test the...Ch. 10.1 - Prob. 22ECh. 10.1 - Hypothesis Tests. In Exercises 1928, test the...Ch. 10.1 - Hypothesis Tests. In Exercises 1928, test the...Ch. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.2 - Two-Way Tables. What is a two-way table? What are...Ch. 10.2 - Hypotheses. When working with two variables in a...Ch. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Does It Make Sense? For Exercises 58, determine...Ch. 10.2 - Does It Make Sense? For Exercises 58, determine...Ch. 10.2 - Does It Make Sense? For Exercises 58, determine...Ch. 10.2 - Does It Make Sense? For Exercises 58, determine...Ch. 10.2 - Prob. 9ECh. 10.2 - Understanding a Two-Way Table Hypothesis Test....Ch. 10.2 - Survey Results. In Exercises 1114, assume that a...Ch. 10.2 - Survey Results. In Exercises 1114, assume that a...Ch. 10.2 - Survey Results. In Exercises 1114, assume that a...Ch. 10.2 - Survey Results. In Exercises 1114, assume that a...Ch. 10.2 - Prob. 15ECh. 10.2 - Complete Hypothesis Test. In Exercises 1522, carry...Ch. 10.2 - Complete Hypothesis Test. In Exercises 1522, carry...Ch. 10.2 - Complete Hypothesis Test. In Exercises 1522, carry...Ch. 10.2 - Complete Hypothesis Test. In Exercises 1522, carry...Ch. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.3 - ANOVA. What does ANOVA stand for? What is the...Ch. 10.3 - Prob. 2ECh. 10.3 - Variance in ANOVA. Describe and distinguish...Ch. 10.3 - Test Statistic F. What is the meaning of small and...Ch. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Does It Make Sense? For Exercises 58, determine...Ch. 10.3 - Does It Make Sense? For Exercises 58, determine...Ch. 10.3 - Prob. 9ECh. 10.3 - Comparing Colleges. A researcher obtains random...Ch. 10.3 - Readability of Authors. Samples of Flesch-Kincaid...Ch. 10.3 - Fabric Flammability Tests in Different...Ch. 10.3 - Prob. 13ECh. 10.3 - Pulse Rates. A random sample of adult females is...Ch. 10.3 - Using Technology. In Exercises 1518, use software...Ch. 10.3 - Using Technology. In Exercises 1518, use software...Ch. 10.3 - Prob. 17ECh. 10.3 - Using Technology. In Exercises 1518, use software...Ch. 10 - In Exercises 13, use the following service times...Ch. 10 - In Exercises 13, use the following service times...Ch. 10 - In Exercises 13, use the following service times...Ch. 10 - Prob. 4CRECh. 10 - Prob. 1CQCh. 10 - As part of the results from the test described in...Ch. 10 - For the hypothesis test described in Exercise 1,...Ch. 10 - A simple random sample of 25 blood platelet counts...Ch. 10 - Prob. 5CQCh. 10 - Prob. 6CQCh. 10 - Prob. 7CQCh. 10 - If the hypothesis test of the claim described in...Ch. 10 - A two-way table, constructed from survey results,...Ch. 10 - Prob. 10CQ
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