Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 10.1, Problem 12PB
Obama A/B testing To increase Barack Obama’s visibility and to raise money for the campaign leading up to the 2008 presidential election, Obama’s analytics team conducted an A/B test with his website. In the original version, the button to join the campaign read “Sign Up”. In an alternative version, it read “Learn More”. Of 77,858 visitors to the original version, 5851 clicked the button. Of 77,729 visitors to the alternative version, 6927 clicked the button. Is there evidence that one version was more successful than the other in recruiting campaign members?
- a. Sketch an appropriate graph to compare the sample proportions visually.
- b. Show all steps of a significance test, using the computer output. Define any parameters you are using when specifying the hypotheses. Mention whether there is a significant difference at the 0.05 significance level.
- c. Interpret the confidence interval shown in the output. Why is this interval more informative than just reporting the P-value?
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We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
Negate the following compound statement using De Morgans's laws.
Chapter 10 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 10.1 - Unemployment rate According to the Bureau of Labor...Ch. 10.1 - Prob. 2PBCh. 10.1 - Binge drinking The PACE project at the University...Ch. 10.1 - Smoking and lung obstruction A National Center for...Ch. 10.1 - Do you believe in miracles? Let p1 and p2 denote...Ch. 10.1 - Aspirin and heart attacks in Sweden A Swedish...Ch. 10.1 - Swedish study test Refer to the previous exercise....Ch. 10.1 - Significance test for aspirin and cancer deaths...Ch. 10.1 - Prob. 9PBCh. 10.1 - Comparing marketing commercials Two TV commercials...
Ch. 10.1 - Hormone therapy for menopause The Womens Health...Ch. 10.1 - Obama A/B testing To increase Barack Obamas...Ch. 10.1 - Believe in heaven and hell A recent survey asked...Ch. 10.2 - Alcohol and Energy Drinks A 2013 article in the...Ch. 10.2 - Address global warming You would like to determine...Ch. 10.2 - Housework for women and men Do women tend to spend...Ch. 10.2 - More confident about housework Refer to part c in...Ch. 10.2 - Employment by gender The study described in...Ch. 10.2 - Ideal number of children In 2014, the GSS asked,...Ch. 10.2 - Pay by gender The study described in the Exercise...Ch. 10.2 - Bulimia CI A study of bulimia among college women...Ch. 10.2 - Chelation useless? Chelation is an alternative...Ch. 10.2 - Nicotine dependence A study on nicotine dependence...Ch. 10.2 - Inhaling affect HONC? Refer to the previous...Ch. 10.2 - Females or males more nicotine dependent? Refer to...Ch. 10.2 - Female and male monthly smokers Refer to the...Ch. 10.2 - Body language In an experiment investigating body...Ch. 10.2 - Student survey Refer to the FL Student Survey data...Ch. 10.2 - Study time A graduate teaching assistant for...Ch. 10.2 - More on study time Refer to the data in the...Ch. 10.2 - Time spent on social networks As part of a class...Ch. 10.2 - More time on social networks In the previous...Ch. 10.2 - Normal assumption The methods of this section make...Ch. 10.2 - Vital capacity One of the authors of this book has...Ch. 10.3 - Body dissatisfaction Female college student...Ch. 10.3 - Body dissatisfaction test Refer to the previous...Ch. 10.3 - Surgery versus placebo for knee pain Refer to...Ch. 10.3 - Comparing clinical therapies A clinical...Ch. 10.3 - Clinical therapies 2 Refer to the previous...Ch. 10.3 - Vegetarians more liberal? When a sample of social...Ch. 10.3 - Teeth whitening results One scientific test of...Ch. 10.3 - Permuting therapies Refer to Exercise 10.38, which...Ch. 10.3 - Permutations equally likely Refer to the previous...Ch. 10.3 - Two-sided permutation P-value Refer to the...Ch. 10.3 - Time spent on social networks revisited Exercise...Ch. 10.3 - Compare permutation test to t test Refer to the...Ch. 10.3 - Dominance of politicians For a rating experiment,...Ch. 10.3 - Sampling distribution of x1x2 Refer to Example 12,...Ch. 10.4 - Does exercise help blood pressure? Several recent...Ch. 10.4 - Test for blood pressure Refer to the previous...Ch. 10.4 - Social activities for students As part of her...Ch. 10.4 - More social activities Refer to the previous...Ch. 10.4 - Movies versus parties Refer to the previous two...Ch. 10.4 - Freshman 15 a myth? The freshman 15 is the name of...Ch. 10.4 - Checking for freshman 15 Refer to the previous...Ch. 10.4 - Internet book prices Annas project for her...Ch. 10.4 - Comparing hook prices 2 For the data in the...Ch. 10.4 - Lung capacity revisited Refer to Exercise 10.34...Ch. 10.4 - Comparing speech recognition systems Table 1020 in...Ch. 10.4 - Treat juveniles as adults? The table that follows...Ch. 10.4 - Change coffee brand? A study was conducted to see...Ch. 10.4 - Presidents popularity Last month a random sample...Ch. 10.4 - Heaven and hell Results of polls about belief in...Ch. 10.4 - Heaven and hell around the world Refer to the...Ch. 10.5 - Prob. 65PBCh. 10.5 - Prob. 66PBCh. 10.5 - Basketball paradox The following list summarizes...Ch. 10.5 - Prob. 68PBCh. 10.5 - Prob. 69PBCh. 10.5 - Prob. 70PBCh. 10.5 - Breast cancer over time The percentage of women...Ch. 10 - Pick the method Steve Solomon, the owner of...Ch. 10 - Prob. 73CPCh. 10 - BMI then and now The Centers for Disease Control...Ch. 10 - Marijuana and gender In a survey conducted by...Ch. 10 - Prob. 76CPCh. 10 - Belief depend on gender? Refer to the previous...Ch. 10 - Prob. 78CPCh. 10 - Prob. 79CPCh. 10 - Prob. 80CPCh. 10 - Prob. 81CPCh. 10 - Prob. 82CPCh. 10 - Prob. 83CPCh. 10 - Prob. 84CPCh. 10 - Prob. 85CPCh. 10 - How often do you feel sad? A recent General Social...Ch. 10 - Prob. 87CPCh. 10 - Prob. 88CPCh. 10 - Prob. 89CPCh. 10 - Equal pay in sports? The following data refer to a...Ch. 10 - Prob. 91CPCh. 10 - Prob. 92CPCh. 10 - Anorexia again Refer to Exercise 10.89, comparing...Ch. 10 - Breast-feeding helps IQ? A Danish study of...Ch. 10 - Prob. 95CPCh. 10 - Prob. 96CPCh. 10 - Prob. 97CPCh. 10 - Prob. 98CPCh. 10 - Prob. 99CPCh. 10 - Prob. 100CPCh. 10 - Prob. 101CPCh. 10 - Prob. 102CPCh. 10 - Prob. 103CPCh. 10 - Prob. 104CPCh. 10 - Belief in ghosts and in astrology A poll by Louis...Ch. 10 - Death penalty paradox Exercise 3.58 showed results...Ch. 10 - Prob. 107CPCh. 10 - Prob. 108CPCh. 10 - Prob. 109CPCh. 10 - Prob. 111CPCh. 10 - Pay discrimination against women? A Time Magazine...Ch. 10 - Mean of permutation distribution Refer to Example...Ch. 10 - Treating math anxiety Two new programs were...Ch. 10 - Prob. 115CPCh. 10 - Prob. 116CPCh. 10 - Prob. 117CPCh. 10 - Multiple choice: Sample size and significance If...Ch. 10 - Prob. 119CPCh. 10 - Prob. 120CPCh. 10 - Prob. 121CPCh. 10 - Prob. 122CPCh. 10 - Prob. 123CPCh. 10 - Prob. 124CPCh. 10 - Prob. 125CPCh. 10 - Prob. 126CPCh. 10 - Null standard error for matched pairs Under the...Ch. 10 - Prob. 128CP
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