Concept explainers
Female for president? When recent General Social Surveys have asked, “If your party nominated a woman for president, would you vote for her if she were qualified for the job?” about 94% of females and 94% of males answered yes, the rest answered no. (Source: Data from CSM, UC Berkeley.)
- a. For males and for females, report the conditional distributions on this response variable in a 2 × 2 table, using outcome categories (yes, no).
- b. If results for the entire population are similar to these, does it seem possible that gender and opinion about having a woman president are independent? Explain.
a.
Report conditional distributions in a
Answer to Problem 47CP
The 2×2 contingency table of given data is given below.
Course | Vote | Total | |
Yes | No | ||
Female | 94% | 6% | 100% |
Male | 94% | 6% | 100% |
Explanation of Solution
It is given that 94% of females and 94% of males said, they vote if the party nominated a woman for president.
The 2×2 contingency table of given data is given below.
Course | Vote | Total | |
Yes | No | ||
Female | 94% | 100% | |
Male | 94% | 100% |
b.
Explain whether gender and opinion about having a woman president are independent.
Explanation of Solution
Two variables are said to be independent, if the population conditional distributions of variables are same.
From the given information it is observed that about 94% of males and 94% females answered yes for the given question.
Since, it is same for both male and female, it seems possible that gender and opinion about having a woman president are independent.
Want to see more full solutions like this?
Chapter 11 Solutions
Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x≤x≤x+h), h>0. = x (a) Show that Qx+b(h) = Qx(h).arrow_forward
- Suppose that you buy a lottery ticket, and you have to pick six numbers from 1 through 50 (repetitions allowed). Which combination is more likely to win: 13, 48, 17, 22, 6, 39 or 1, 2, 3, 4, 5, 6? barrow_forward2 Make a histogram from this data set of test scores: 72, 79, 81, 80, 63, 62, 89, 99, 50, 78, 87, 97, 55, 69, 97, 87, 88, 99, 76, 78, 65, 77, 88, 90, and 81. Would a pie chart be appropriate for this data? ganizing Quantitative Data: Charts and Graphs 45arrow_forward10 Meteorologists use computer models to predict when and where a hurricane will hit shore. Suppose they predict that hurricane Stat has a 20 percent chance of hitting the East Coast. a. On what info are the meteorologists basing this prediction? b. Why is this prediction harder to make than your chance of getting a head on your next coin toss? U anoiaarrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning