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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Textbook Question
Chapter 9.2, Problem 50E
Type I and Type II Errors. In Exercises 49–52, a null and alternative hypothesis are given. Without using the terms “null hypothesis” and “alternative hypothesis,” explain the meaning of type I and type II errors in each case.
50. H0: The defendant is not guilty.
Ha: The defendant is guilty.
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Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18.
Compute the probability of the complement of the event.
Question content area bottom
Part 1
A.1/2
B.2/18
C.16/18
D.16/3
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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