Question

On February 28,2013 , a Field Poll Survey reported that $61 \%$ of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78\%. Six in ten California registered voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, $75 \%$ say the ruling is important to them. In this problem, let: $C=$ California registered voters who support same-sex marriage. $B=$ Califormia registered voters who say the Supreme Court's ruling about the constitutionality of Califomia's Proposition 8 is very or somewhat important to them $A=$ California registered voters who are 18 to 39 years old. a. Find $P(C)$ b. Find $P(B)$ c. Find $P(C | A)$ d. Find $P(B | C)$ e. In words, what is $C$ IA? f. In words, what is $B 1 C ?$ g. Find $P(C \cap B)$. h. In words, what is $C \cap B ?$ i. Find $P(C \cup B)$. j. Are $C$ and $B$ mutually exclusive events? Show why or why not.

          On February 28,2013 , a Field Poll Survey reported that $61 \%$ of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78\%. Six in ten California registered voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, $75 \%$ say the ruling is important to them.
In this problem, let:
$C=$ California registered voters who support same-sex marriage. $B=$ Califormia registered voters who say the Supreme Court's ruling about the constitutionality of Califomia's Proposition 8 is very or somewhat important to them
$A=$ California registered voters who are 18 to 39 years old.
a. Find $P(C)$
b. Find $P(B)$
c. Find $P(C | A)$
d. Find $P(B | C)$
e. In words, what is $C$ IA?
f. In words, what is $B 1 C ?$
g. Find $P(C \cap B)$.
h. In words, what is $C \cap B ?$
i. Find $P(C \cup B)$.
j. Are $C$ and $B$ mutually exclusive events? Show why or why not.
        
Show more…

Added by Natalie I.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
On February 28,2013 , a Field Poll Survey reported that $61 \%$ of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78\%. Six in ten California registered voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, $75 \%$ say the ruling is important to them. In this problem, let: $C=$ California registered voters who support same-sex marriage. $B=$ Califormia registered voters who say the Supreme Court's ruling about the constitutionality of Califomia's Proposition 8 is very or somewhat important to them $A=$ California registered voters who are 18 to 39 years old. a. Find $P(C)$ b. Find $P(B)$ c. Find $P(C | A)$ d. Find $P(B | C)$ e. In words, what is $C$ IA? f. In words, what is $B 1 C ?$ g. Find $P(C \cap B)$. h. In words, what is $C \cap B ?$ i. Find $P(C \cup B)$. j. Are $C$ and $B$ mutually exclusive events? Show why or why not.
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov David Collins
Jennifer Stoner verified

Kari Hasz and 86 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-higher-education-research-institute-at-ucla-collected-data-from-203967-incoming-first-time-full-time-freshmen-from-270-four-year-colleges-and-universities-in-the-us-74-of-those-students-17305

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 74% of those students replied that yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status. In words, define the random variable X What is the number of trials? What is the probability of success? What is the distribution of X? X ~ List the values that x may take on What is the probability that exactly 7 believes that same-sex couples should have the right to legal marital status? How many students do you expect believes that same-sex couples should have the right to legal marital status?

David N.

24-california-stands-out-in-us-politics-today-because-group-of-answer-choices-a-its-members-of-the-house-of-representatives-exceed-the-number-of-representatives-of-the-next-largest-10-states-combined-

24. California stands out in U.S. politics today because Group of answer choices a. its members of the House of Representatives exceed the number of representatives of the next largest 10 states combined. b. 20 states owe California in excess of one billion dollars each, making it the largest lender to the states. c. it has 155 presidential electoral votes. d. it is the most urban state and nearly one in eight U.S. citizens lives here. e. it recalled 3 Governors: Davis, Stephens, and Barlett 25. Sweden, Denmark, and Australia have higher voter turnout rates than the United States because of Group of answer choices a. fewer registration laws b. more elections c. universal suffrage d. more polling locations e. compulsory voting laws 26. Garrett currently works two part-time jobs and is frustrated with his personal finances and circumstances. He is having a harder time finding full-time employment and affordable housing. On Election Day, he votes for a different candidate or party than the incumbent on the ballot. What type of vote did he cast? Group of answer choices a. straight ticket b. single-issue c. retrospective d. prospective e. pocketbook 27. A tabloid publication printed a series of inaccurate and false reports accusing a renowned basketball coach of discriminating against certain players, harming his reputation and causing him to lose commercial endorsements. In a lawsuit, the publisher was found guilty of Group of answer choices a. reporter’s privilege. b. yellow journalism. c. muckraking. d. libel. e. slander.

Asma V.

the-late-2010-were-tlme-great-cnange-public-attitudes-aro-perceptons-involving-the-lgbtq-community-according-to-one-large-randomly-sampled-survey-taken-annually-in-2012tne-proportion-of-thei-73718

The late 2010s were a time of great change in public attitudes and perceptions involving the LGBTQ community. According to one large randomly sampled survey taken annually, in 2012 the proportion of their sample that strongly agreed or agreed that gay marriage should be legal was 0.488 (with a sample size of about 1300). In 2016, the sample proportion was 0.584 (with a sample size of about 1800). Naturally, this change could have been due to chance. To test whether support for gay marriage in the population increased from 2012 to 2016, which of the following are the best pair of hypotheses to carry out this test? Let P2012 and P2016 represent the proportions of those who support gay marriage in 2012 and 2016, respectively.

Gershon Kwame M.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,820 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,191 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,126 solutions

*

Transcript

-
00:01 A field poll survey revealed that 61 % of california registered voters approved of allowing two people of the same gender to marry and have regular marriage laws applied to them.
00:12 Among 18 to 39 -year -olds, the approval rating was 78%.
00:16 6 and 10 california registered voters said that the upcoming supreme court's ruling about the constitutionality of california's prop 8 was either very or somewhat important to them.
00:25 And out of these california registered voters who supported same -sex marriage, 75 % say the ruling is important to them.
00:32 So we have three things that we're going to identify.
00:39 So we're going to let c be the california registered voters who support same -sex marriage.
00:51 We're going to let b be our california registered voters who say prop 8 is important.
01:03 And we're going to let a be our california registered voters 18 to 3.
01:11 39 years old.
01:15 Now, if you go through the information that was given to us, we know that 61 % of california registered voters support same -sex marriage.
01:24 We know that 60 % of california registered voters because 6 and 10 said that the upcoming supreme court ruling is important to them.
01:36 And we also know that the probability of c given a is 0 .78 and the probability of the probability of b given c is 0 .75.
01:54 And we know that because they told us.
01:56 So they told us that 78 % that, excuse me, among 13 to 39 -year -old, the approval rating of same -sex marriage was 78%.
02:09 And they told us that, out of the registered voters who support same -sex marriage, 75 % say the prop 8 is important to them.
02:23 So going from there, we're going to answer a bunch of questions with this set.
02:30 So a is the probability of c, which we know is 0 .61.
02:36 B is the probability of b, which is 0 .60, which we know was given to us.
02:45 C is the probability of c given a, which we were told, is 0 .78.
02:54 The probability of b given c, which is 0 .75.
03:02 And in words, what is c given a? so i'm going to put this one over here.
03:09 So again, we could use their words.
03:11 So their words were among 18 to 39 -year -old voters.
03:16 The approval rating for st...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever