1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mart [117]
2 years ago
9

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

n the town and found that 34 % of
the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than

30%. State the null and alternative hypotheses.
Mathematics
1 answer:
Hunter-Best [27]2 years ago
7 0

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

You might be interested in
Consider the function below.
vovangra [49]
An inverse function reverses (x, f(x)) to make it (f(x), x).

The 1st selection does that.
5 0
3 years ago
Read 2 more answers
Help pls... 20 points
jok3333 [9.3K]
Honestly I don't know congruent so congrats I can't answer sorry
8 0
2 years ago
Help plssss. picture attached
enot [183]

Answer:30 feet.

Step-by-step explanation: 2 doubled is four and in the bigger triangle it says 5. Therefore 12 doubled and a bit more is 30

3 0
3 years ago
According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,
Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). </em>

<em> Suppose we randomly select 100 tweets. </em>

<em>a) What is the expected number of these tweets with no reaction? </em>

<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

E(X)=n\cdot p=100\cdot 0.71=71

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59

Then, the standard deviation becomes:

\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538

5 0
3 years ago
21.(03.02)<br> If f(x) = 7x – 1, what does f(12) represent?
Mnenie [13.5K]

Answer:

83

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83

3 0
3 years ago
Other questions:
  • Al Dietrich is in training. He swims for 30 minutes, bicycles (10 mph) for 30 minutes, and runs (8 mph) for 30 minutes everyday.
    12·2 answers
  • What is the graph's approximate rate of change? -1/2 12 2 -2
    8·1 answer
  • A rectangular pyramid has a base area of 24in and a volume of 48in what is the height of the pyramid
    13·1 answer
  • Is 6+2 +4x equivalent to 6- ( 2-4x) . if not , why not ?
    10·1 answer
  • Hi can someone help me out with this quickly?
    11·1 answer
  • What is the product of the binomials below? (3x+6)(4x+2)
    12·2 answers
  • Write a <img src="https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B5%7Dx-2" id="TexFormula1" title="y=\frac{4}{5}x-2" alt="y=\frac{4
    11·1 answer
  • PLZ HELP HURRY??!!!​
    6·1 answer
  • PLEASE ANSWER QUESTION
    10·1 answer
  • At which store is the cost of apples the least?<br><br>A<br><br>B<br><br>C<br><br>D
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!