Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 9, Problem 9.16TI
It is believed that a stock price for a particular company will grow at a rate of 55 per week with a standard deviation of Si. An Investor believes the stock won’t grow as quickly. The changes in stock price is recorded for ten weeks and are as follows: $4, $3, $2, $3, $1, $7, $2, $1, $1, $2. Perform a hypothesis test using a 5% level of significance. State the null and alternative hypotheses, find the p-value, state your conclusion, and identify the Type I and Type II errors.
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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
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?…
Chapter 9 Solutions
Introductory Statistics
Ch. 9 - A medical trial is conducted to test whether or...Ch. 9 - We want to test whether the mean height of eighth...Ch. 9 - We want to test If It takes fewer than 45 minutes...Ch. 9 - On a state drivers test. about .10% pass the test...Ch. 9 - Suppose the null hypothesis, H0, Is: the blood...Ch. 9 - Suppose the null hypothesis. H0. Is: a patient is...Ch. 9 - “Red tide” is a bloom of poison-producing algae—a...Ch. 9 - Determine both Type I and Type II errors for the...Ch. 9 - A normal distribution has a standard deviation of...Ch. 9 - Its a Boy Genetics Labs claim their procedures...
Ch. 9 - H0:=10, H0:< 10 Assume the p-value is 0.0935. What...Ch. 9 - H0:1,Ha:1 Assume the p-value is 0.1243. What type...Ch. 9 - H0:p=0.5,Ha:p0.5 Assume the p-value is 0.2564....Ch. 9 - The mean throwing distance of a football for...Ch. 9 - It is believed that a stock price for a particular...Ch. 9 - A teacher believes that 85% of students in the...Ch. 9 - Marketers believe that 92% of adults In the United...Ch. 9 - You are testing that the mean speed of your cable...Ch. 9 - You ate testing that the mean speed of your cable...Ch. 9 - The American family has an average of two...Ch. 9 - The mean entry level salary of an employee at a...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - In a population of fish approximately 42% are...Ch. 9 - Suppose that a recent article stated that the mean...Ch. 9 - A random survey of 75 death row Inmates revealed...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - The mean price of mid-sized cars In a region is...Ch. 9 - A sleeping bag Is rested to withstand temperatures...Ch. 9 - For Exercise 9.12, what are and in words?Ch. 9 - In words, describe 1— 3For Exercise 9.12.Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - The power of a test is 0.981. What is the...Ch. 9 - A group of divers is exploring an old sunken ship....Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - Which two distributions can you use for hypothesis...Ch. 9 - Which distribution do you use when you are testing...Ch. 9 - Which distribution do you use when the standard...Ch. 9 - A population mean Is 13. The sample mean is 12.8....Ch. 9 - A population has a mean is 25 and a standard...Ch. 9 - It Is thought that .12% of respondents in a taste...Ch. 9 - You ate performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are peform1ng a hypothesis test of a single...Ch. 9 - When do you reject the null hypothesis?Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - It is believed that the mean height of high school...Ch. 9 - The mean age of graduate students at a University...Ch. 9 - Does the shaded region represent a low or a high...Ch. 9 - What should you do when a >p-value?Ch. 9 - What should you do if a = p-value?Ch. 9 - If you do not reject the null hypothesis, then it...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - A random survey of 75 death row inmates revealed...Ch. 9 - Assume H0: = 9 and H0:< 9. Is this a left-tailed,...Ch. 9 - Assume H0:6 and H0: > 6. Is this a left-tailed,...Ch. 9 - Assume H0: p = 0.25 and Ha: p 0.25. Is this a...Ch. 9 - Draw the general graph of a left-tailed test.Ch. 9 - Draw the graph of a two-tailed test.Ch. 9 - A bottle of water Is labeled as containing 16...Ch. 9 - Your friend claims that his mean golf score Is 63....Ch. 9 - A bathroom scale claims to be able to dentify...Ch. 9 - You flip a coin and record whether it shows heads...Ch. 9 - If the alternative hypothesis has a not equals ( )...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean Is...Ch. 9 - Some of the following statements refer to the null...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - State the Type I and Type II errors in complete...Ch. 9 - For statements a-j in Exercise 9.109. answer the...Ch. 9 - When a new drug is created. the pharmaceutical...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - Previously, an organization reported that...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - A particular brand of tires claims that its deluxe...Ch. 9 - From generation to generation, the mean age when...Ch. 9 - The cost of a daily newspaper varies from city to...Ch. 9 - An article in the San Jose Mercury News stated...Ch. 9 - The mean number of sick days an employee takes per...Ch. 9 - In 1955, Life Magazine reported that the 25...Ch. 9 - Your sta1stIcs Instructor claims that 60 percent...Ch. 9 - A Nissan Motor Corporation advertisement read, The...Ch. 9 - Refer to Exercise 9.19. Conduct a hypothesis test...Ch. 9 - According to an article in Newsweek, the natural...Ch. 9 - A poll done for Newsweek found that 13% of...Ch. 9 - The mean work week for engineers In a start-up...Ch. 9 - Use the Lap time data for Lap .1 (see Appendix C)...Ch. 9 - Use the initial Public Offering’ data (see...Ch. 9 - “Asian Family Reunion,” by Chau Nguyen Every two...Ch. 9 - ‘The Problem with Angels,” by Cyndy Dowling...Ch. 9 - “Blowing Bubbles,” by Sondra Prull Studying stats...Ch. 9 - “Dalmatian Darnation,” by Kathy Sparling A greedy...Ch. 9 - ‘MacaronI and Cheese, please! I” by Nedda...Ch. 9 - “William Shakespeare: The Tragedy of Hamlet....Ch. 9 - “Untitled.” by Stephen Chen lye often wondered how...Ch. 9 - Japanese Glrls Names’ by Kumi Furnichi It used to...Ch. 9 - ‘Phillip’s Wish,” by Suzanne Osorlo My nephew...Ch. 9 - “The Craven,” by Mark Salangsang Once upon a...Ch. 9 - Toastmasters Inteniational cites a repol by Gallop...Ch. 9 - Sixty-eight percent of online courses taught at...Ch. 9 - According to an article In Bloomberg Businessweek,...Ch. 9 - The mean age of De Anza College students in a...Ch. 9 - Registered nurses earned an average annual salary...Ch. 9 - La Leche League International reports that the...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instnictor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - According to the Centet for Disease Control...Ch. 9 - A recent survey In the N.Y. limes Almanac...Ch. 9 - Driver error can be listed as the cause of...Ch. 9 - The US Department of Energy reported that 51.7% of...Ch. 9 - For Americans using library services, the American...Ch. 9 - The Weather Underground reported that the mean...Ch. 9 - A survey in the N.Y. limes Almanac finds the mean...Ch. 9 - A report by the Gallup Poll found that a woman...Ch. 9 - According to the N.Y Times Almanac the mean family...Ch. 9 - The student academic group on a college campus...
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