Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Textbook Question
Chapter 9.3, Problem 37E
Larger or smaller P-value? In a study of sleeping habits, a researcher wants to test the null hypothesis that adults in a certain community get a
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very time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when…
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Ch 6 Sec 4 Homework
Question 4 of 4 (1 point) | Question Attempt: 2 of Unlimited
✓ 2
✓ 3
= 4
Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Two hundred
workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places.
(a) Approximate the probability that 155 or fewer workers find their jobs stressful.
(b) Approximate the probability that more than 145 workers find their jobs stressful.
(c) Approximate the probability that the number of workers who find their jobs stressful is between 154 and 172 inclusive.
Part 1 of 3
The probability that 155 or fewer workers find their jobs stressful is 0.1207
Part 2 of 3
bility that more than 145 workers find their jobs…
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01
significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
Black
White
Yellow
Red
Blue
Controls (not injured)
499
373
32
159
79
Cases (injured
221
108
8
66
38
or killed)
Click here to view the chi-square distribution table.
Chi-square distribution table
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
C. Ho: Injuries and neimet color are dependent
H₁: Injuries and helmet color are independent
D. Ho: Whether a crash occurs and helmet color are dependent
1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297…
Chapter 9 Solutions
Elementary Statistics (Text Only)
Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...
Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17-20, determine whether the outcome...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - Fertilizer: A new type of fertilizer is being...Ch. 9.1 - Big fish: A sample of loo flounder of a certain...Ch. 9.1 - Check, please: A restaurant owner claims that the...Ch. 9.1 - Coffee: The mean caffeine content per cup of...Ch. 9.1 - Big dogs: A veterinarian claims that the mean...Ch. 9.1 - Business trips A sales manager believes that the...Ch. 9.1 - Type I error: A company that manufactures steel...Ch. 9.1 - Type I error: Washers used in a certain...Ch. 9.1 - Scales: It is desired to check the calibration of...Ch. 9.1 - IQ: Scores on a certain IQ test are known to have...Ch. 9.2 - In Exercises 23–28, fill in each blank with the...Ch. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 25ECh. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - A test is made of H0:=50 versus H1:50. A sample of...Ch. 9.2 - A test is made of H0:=14 versus H1:14. A sample of...Ch. 9.2 - A test is made of H0:=130 versus H1:130. A sample...Ch. 9.2 - A test is made of H0:=5 versus H1:5. A sample of...Ch. 9.2 - A test of the hypothesis H0:=65 versus H1:65 was...Ch. 9.2 - A test of the hypothesis H0:=150 versus H1:150 was...Ch. 9.2 - True or false: If P=0.02, then The result is...Ch. 9.2 - True or false: If P=0.08, then The result is...Ch. 9.2 - A test of H0:=17 versus H1:17 is performed using a...Ch. 9.2 - A test of H0:=50 versus H1:50 is performed using a...Ch. 9.2 - A test of H0:=0 versus H1:0 is performed using a...Ch. 9.2 - Prob. 46ECh. 9.2 - If H0 is rejected at the =0.05 level, which of the...Ch. 9.2 - Prob. 48ECh. 9.2 - If P=0.03, which of the following is the best...Ch. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Are you smarter than a second grader? A random...Ch. 9.2 - Height and age: Are older men shorter than younger...Ch. 9.2 - Calibrating a scale: Making sure that the scales...Ch. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - What are you drinking? Environmental Protection...Ch. 9.2 - Prob. 60ECh. 9.2 - Interpret calculator display: The age in years was...Ch. 9.2 - Interpret calculator display: The number of...Ch. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Statistical or practical significance: A new...Ch. 9.2 - Test scores: A math teacher has developed a new...Ch. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Large samples and practical significance: A sample...Ch. 9.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Is there a doctor in the house? The market...Ch. 9.3 - College tuition: The mean annual tuition and fees...Ch. 9.3 - Big babies: The National Health Statistics Reports...Ch. 9.3 - Good credit: The Fair Isaac Corporation (FICO)...Ch. 9.3 - Commuting to work: The American Community Survey...Ch. 9.3 - Watching TV: The General Social Survey asked a...Ch. 9.3 - Prob. 21ECh. 9.3 - How much is in that can? A machine that fills...Ch. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Keep cool: Following are prices, in dollars, of a...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Interpret calculator display: A sample of adults...Ch. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Does this diet work? In a study of the...Ch. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Larger or smaller P-value? In a study of sleeping...Ch. 9.3 - Larger or smaller P-value? Juan and Mary want to...Ch. 9.3 - Interpret a P-value: A real estate agent believes...Ch. 9.3 - Interpret a P-value: The manufacturer of a...Ch. 9.3 - Using z instead of t: When the sample size is...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - In a simple random sample of size 80, there were...Ch. 9.4 - Prob. 10ECh. 9.4 - In a simple random sample of size 75, there were...Ch. 9.4 - In a simple random sample of size 150, there were...Ch. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Quit smoking: In a survey of 444 HIV-positive...Ch. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Curing diabetes: Vertical banded gastroplasty is a...Ch. 9.4 - Tweet tweet: An article in Forbes magazine...Ch. 9.4 - Prob. 22ECh. 9.4 - Choosing a doctor: Which do patients value more...Ch. 9.4 - Prob. 24ECh. 9.4 - Interpret calculator display: In a recent poll,...Ch. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Who will you vote for? A simple random sample of...Ch. 9.4 - Prob. 31ECh. 9.4 - Dont perform a test: Over the past 100 days, the...Ch. 9.4 - Exact test: When np010 or n(1p0)10, we cannot use...Ch. 9.5 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - A random sample of size 25 from a normal...Ch. 9.5 - Prob. 14ECh. 9.5 - Babies: A sample of 25 one-year-old girls had a...Ch. 9.5 - Watching TV: The General Social Survey asked a...Ch. 9.5 - IQ scores: Scores on an IQ test are normally...Ch. 9.5 - SAT scores: Scores on the math SAT are normally...Ch. 9.5 - How much is in that can? A machine that fills...Ch. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.6 - In Exercises 5–12, slate which type of parameter...Ch. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Cookies: Following are the weights of 8 boxes of...Ch. 9.6 - Prob. 16ECh. 9.6 - Teacher salaries: A random sample of 50 public...Ch. 9.6 - Prob. 18ECh. 9.6 - Mercury pollution: Mercury is a toxic metal that...Ch. 9.6 - Prob. 20ECh. 9.7 - In Exercises 3-5, fill in each blank with the...Ch. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - In Exercises 6-8, determine whether the statement...Ch. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - A test has power 0.80 when 1=3.5. True or false:...Ch. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Watch sour cholesterol: An article in the...Ch. 9.7 - Prob. 15ECh. 9.7 - Coffee beans: Refer to Exercise 12. A test of the...Ch. 9.7 - Prob. 17ECh. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9 - Fill in the blank: A test of the hypotheses H0:=65...Ch. 9 - A hypothesis test results in a P-value of 0.008....Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - In a random sample of 500 people who took their...Ch. 9 - Prob. 9CQCh. 9 - Prob. 10CQCh. 9 - Prob. 11CQCh. 9 - In a test of H0:=5 versus H1:5, the value of the...Ch. 9 - True or false: We can perform a test for a...Ch. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Job satisfaction: The General Social Survey...Ch. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 1WAICh. 9 - Prob. 2WAICh. 9 - Prob. 3WAICh. 9 - Prob. 4WAICh. 9 - Prob. 5WAICh. 9 - Prob. 6WAICh. 9 - Prob. 1CSCh. 9 - Prob. 2CSCh. 9 - Prob. 3CSCh. 9 - For some records marked with a * the record...Ch. 9 - Prob. 5CSCh. 9 - Prob. 6CSCh. 9 - Prob. 7CS
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- Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 32, 46, 39, 29, 26. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.) Chi-square distribution table Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 0.001 0.004 0.016 2.706 3.841 5.024 6.635 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 7.879 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 5…arrow_forwardThe online clothing retailer e-Parel is conducting a study to estimate the average size of the orders placed by visitors to its website. The project manager desires a $60 bound on the error of estimation at 90% confidence. The population standard deviation is unknown, and a “best guess” of $175 is used as the planning value for σ. Use the Distributions tool to help you answer the questions that follow. 0123 Select a Distribution The z-value for a 90% confidence interval of the population mean is . In order to satisfy the requirement of a $60 bound on the error of estimation, a sample size no smaller than is needed.arrow_forwardA local electronics store just received a shipment of 620 HDMI cables. The manager wants to estimate the number of defective HDMI cables in the shipment. Rather than checking every HDMI cable, the manager plans to take a simple random sample of size 62 in order to estimate the proportion of defective HDMI cables in the shipment. If the sample proportion of defective HDMI cables, p̂p̂, is greater than 0.0323 (there are more than two defective HDMI cables in the sample), the manager will file a complaint and request a new shipment. Suppose that the true proportion of defective HDMI cables in the shipment is approximately p = 0.02. What is the expected value of the sample proportion? E(Pˆ)E(P^)= Since the sample is to be drawn from a finite population, and since the sample is 5% of the population size, the finite population correction factor needed when you calculate the standard deviation of the sampling distribution. What is the standard deviation of the…arrow_forward
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