Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 10, Problem 52SE
Children and Happiness The data in the table come from a General Social Survey. The top row is the number of children reported for the respondents. The respondents also reported their level of happiness; Very H means Very Happy, and so on. The counts are shown in the table. Is happiness associated with having at least one child?
General Happiness
a. Merge all the Number of Children categories into two groups: those who have 0 children and those who have at least 1 child. For the rows, merge the Very Happy and Pretty Happy into one group called Happy. Rename the Not Too Happy group Not Happy. Report the new table, which should have two rows and two columns.
b. We wish to test whether happiness is associated with having children. Why was it necessary to merge categories?
c. With the merged data, determine whether there is an association between happiness and whether a person has at least one child. Use a significance level of
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Chapter 10 Solutions
Introductory Statistics (2nd Edition)
Ch. 10 - Tests a. In Chapter 8, you learned some tests of...Ch. 10 - In Chapter 9, you learned some tests of means. Are...Ch. 10 - Crime and Gender A statistics student conducted a...Ch. 10 - Red Cars and Stop Signs The table shows the raw...Ch. 10 - The table summarizes the outcomes of a study that...Ch. 10 - Finger Length There is a theory that relative...Ch. 10 - Prob. 7SECh. 10 - Prob. 8SECh. 10 - Effects of Television Violence on Men (Example 1)...Ch. 10 - Prob. 10SE
Ch. 10 - Mummies with Heart Disease According to the...Ch. 10 - Prob. 12SECh. 10 - Violins Stradivarius violins, made in the 1700s by...Ch. 10 - Coin Flips You flip a coin 100 times and get 58...Ch. 10 - Prob. 15SECh. 10 - Prob. 16SECh. 10 - Prob. 17SECh. 10 - Prob. 18SECh. 10 - Are Humans Like Random Number Generators? (Example...Ch. 10 - Is the Random Number Table Really Random? We...Ch. 10 - Coin Spins A penny was spun on a hard, flat...Ch. 10 - Prob. 22SECh. 10 - Is the Six-Sided Die Fair? The table shows the...Ch. 10 - Is the Six-Sided Die Fair? Repeat the chi-square...Ch. 10 - Violins Professional musicians listened to five...Ch. 10 - Mummies with Heart Disease Exercise 10.11 on...Ch. 10 - Party and Right Direction (Example 4) Suppose a...Ch. 10 - Antibiotic or Placebo A large number of surgery...Ch. 10 - Prob. 29SECh. 10 - Prob. 30SECh. 10 - Prob. 31SECh. 10 - Unemployment Rates U.S. Unemployment rates for all...Ch. 10 - Prob. 33SECh. 10 - Weight Loss Overweight or obese adults from...Ch. 10 - Prob. 35SECh. 10 - Prob. 36SECh. 10 - Gender and Happiness of Marriage The table shows...Ch. 10 - Is Smiling Independent of Age? Randomly chosen...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Prob. 42SECh. 10 - Prob. 43SECh. 10 - Antiretrovirals to Prevent HIV A study conducted...Ch. 10 - Confederates and Compliance A study was done to...Ch. 10 - Endocarditis Kang et al. reported on a randomized...Ch. 10 - Prob. 47SECh. 10 - Prob. 48SECh. 10 - Prob. 49SECh. 10 - Night Shifts A random sample of nurses working...Ch. 10 - Gender and Political Party Affiliation The data in...Ch. 10 - Children and Happiness The data in the table come...Ch. 10 - Prob. 53SECh. 10 - Nice Rats Rats had a choice of freeing another rat...Ch. 10 - Young Criminals and Violence A statistics student...Ch. 10 - Egg Allergy in Children In a randomized,...Ch. 10 - Suppose you have a random sample of students...Ch. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Suppose you take a survey of random students at a...Ch. 10 - Prob. 60CRECh. 10 - Prob. 61CRECh. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Prob. 63CRECh. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Perry Preschool Arrests The Perry Preschool...Ch. 10 - Parental Training and Criminal Behavior of...Ch. 10 - Prob. 67CRECh. 10 - Prob. 68CRECh. 10 - Prob. 69CRECh. 10 - Prob. 70CRECh. 10 - Robot Cockroaches Cockroaches tend to rest in...Ch. 10 - Robot Cockroaches Refer to the description in...Ch. 10 - Prob. 73CRECh. 10 - Conviction Rate with Opposite Race Here are the...
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- 2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.arrow_forwardThroughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).arrow_forward16. Show that, if X and Y are independent random variables, such that E|X|< ∞, and B is an arbitrary Borel set, then EXI{Y B} = EX P(YE B).arrow_forward
- Proposition 1.1 Suppose that X1, X2,... are random variables. The following quantities are random variables: (a) max{X1, X2) and min(X1, X2); (b) sup, Xn and inf, Xn; (c) lim sup∞ X and lim inf∞ Xn- (d) If Xn(w) converges for (almost) every w as n→ ∞, then lim- random variable. → Xn is aarrow_forwardExercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward
- 8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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