Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
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Chapter 9.2, Problem 51E
To determine
Explain the meaning of type I and type II errors.
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2)
Assume you are conducting a hypothesis test to determine if pesticides cause cancer in rural areas. The hypotheses are:
The null hypothesis is no cancer.
The alternate hypothesis is cancer.
Select if the result for Box D is correct, a Type I error, a Type II error or if there is insufficient information to make the decision.
In Exercises, hypothesis tests are proposed. For each hypothesis test,
a.determine the null hypothesis.b.determine the alternative hypothesis.c.classify the hypothesis test as two tailed, left tailed, or right tailed.
Iron Deciency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 18 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting less than the RDA of 18 mg of iron.
Research Question: Do 60% of student prefer iPhone and 40% prefer Android?
A Lecturer is interested in the type of Mobile phone students use.
He surveyed a sample of 45 male and female students and asked them whether they use iPhone or Android.
IPhone
Android
Total
Observe
25
20
45
Perform an appropriate hypothesis test to answer the above research question.
-Enter the values for H0.
H0:π1=
π2=
-The alternate hypothesis is: (Choose from A or B or C)
A. H0:π1≠π1≠ 0.6
B. The proportions are not as stated
C. Something else
From the following sample, calculate the expected number in each group (to two decimal places) and place your answers in the boxes provided.
iPhone
Android
Total
Observed
Expected
25
?
20
?
45
45
The assumption is: Choose from below
-The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with…
Chapter 9 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 9.1 - Hypotheses and Hypothesis Tests. What is a...Ch. 9.1 - Null and Alternative Hypotheses. What is a mill...Ch. 9.1 - Hypothesis Test Outcomes. What are the two...Ch. 9.1 - P-Value. What is a P-value for a hypothesis?Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Significance. The results of my hypothesis test...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...
Ch. 9.1 - Prob. 11ECh. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - What Is Significant? In testing a method of gender...Ch. 9.1 - What Is Significant? In testing a method of gender...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Prob. 19ECh. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Formulating Hypotheses. In Exercises 1522, state...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.1 - Drawing a Conclusion from a Hypothesis Test. If we...Ch. 9.2 - Notation. Briefly describe what each of the...Ch. 9.2 - Standard Score. When testing a claim about a...Ch. 9.2 - Critical Values. What do we mean by critical...Ch. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Does It Make Sense? For Exercises 512, determine...Ch. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using Critical Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Using P-Values to Reject or Not Reject. In...Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Prob. 38ECh. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Prob. 41ECh. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Hypothesis Tests for Means. For Exercises 3548,...Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Type I and Type II Errors. In Exercises 4952, a...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.3 - Notation. What do n, p, p, and P-value represent?Ch. 9.3 - Standard Score. When testing a claim about a...Ch. 9.3 - Prob. 3ECh. 9.3 - P-Value. A P-value of 0.00001 is obtained when...Ch. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Does It Make Sense? For Exercises 59, determine...Ch. 9.3 - Prob. 9ECh. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Prob. 11ECh. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9.3 - Hypothesis Tests for Population Proportions. For...Ch. 9 - A random sample of 40 quarters minted after 1964...Ch. 9 - In a study of smokers who tried to quit smoking...Ch. 9 - Finding a Job Through Networking. In a survey of...Ch. 9 - A medical student wants to test the claim that...Ch. 9 - Identify the null and alternative hypotheses for...Ch. 9 - Identify the null and alternate hypotheses for...Ch. 9 - Identify the null and alternative hypotheses for...Ch. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - In Exercises 510, assume that we want to use a...Ch. 9 - Prob. 8CQCh. 9 - In Exercises 510, assume that we want to use a...Ch. 9 - Prob. 10CQ
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- Family Planning A intend to have two children. What is tie probability that they will have child of each sex? The French mathematician IY Alembert analyzed this problem (incorrectly) by reasoning that three outcomes are possible: or two girls, or one child of each sex. He concluded that probability of having of each sex is mistakenly assuming that three outcomes are likely. (a) Model this problem with a pair of coins (using "heads" for boys and "tails" for girls). or write a program to model of problem. perform the experiment 40 mere times. Counting the number of boy-girl combinations. Estimate the probability of having child of each. (b) Calculate the correct probability of having one child of each sex and compare this with your result from part (a).arrow_forwardQ3. If the null hypothesis is not rejected when the null hypothesis is in error, what type of error, if any, has been made?arrow_forwardIn the process of completing a hypothesis test, when it comes to decide if we should "Reject the Null Hypothesis" or if we "Do Not Reject the Null Hypothesis", how can we use the P-value to help make our decision? Choose the correct answer to fill in the blank. If our p-value is (less than/ greater than) _________________ the signicance level (?), then we (Reject the Null Hypothesis/ Do Not Reject the Null Hypothesis) _____________________.arrow_forward
- State the null and alternative hypotheses for a hypothesis test. Describe the two possible outcomes of the test, using the context of the given situation. A college president claims that the six-year graduation rate at her four-year college is higher than the national average of 60%.arrow_forward1. Define the Null Hypothesis and give an example 2. Define the Alternative Hypothesis and give an example. 3. Explain what the following question means: “Does the evidence that we collected make our null hypothesis look ridiculous?” 4. Explain what the following statement means: “Statistics is the science of changing your mind under uncertainty.” Also, can statistics ever remove uncertainty?arrow_forward
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