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
Mariulka [41]
3 years ago
7

Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably

had too much alcohol. Does this provide statistically significant evidence that a majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, if asked
Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

You might be interested in
Eric wants to purchase a new car. Why is important to Eric to establish a positive credit history?
OverLord2011 [107]
A credit history shows how well you pay back debt. So a positive one allows the bank to consider you a good risk to give money to
6 0
3 years ago
Please help me!! Will get brainliest!
makvit [3.9K]
Completing the square follows the principle of taking a x^{2} +bx+c and converting it into (x+ \frac{b}{2})^2+d where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us a x^{2} +b.

In this case, 2/2=1 so we have the first part: (w+1)^2.
Expanding this gives us w^2+2w+1. We need c to be 9, so we can just add 8.
Putting this together:

w^2+2w+9=(w+1)^2+8

Now we can solve it more easily.
Rearranging:
(w+1)^2=-8 \\ w+1= +-\sqrt{-8} = +-\sqrt{8}i=+-2 \sqrt{2}i   \\ \boxed{w=-1+ 2\sqrt{2}i\ or\ -1-2 \sqrt{2}i  }
5 0
3 years ago
the altitude a (in feet) of a plane t minutes after liftoff is given by a =1200t+60. how many minutes after liftoff is the plane
matrenka [14]

Answer:

21,000-600 = 20,400

20,400/3400 = 6

t = 6

21,000=3,400(6)+600

21,000=20,400+600

21,000=21,000

34.00

*6

__

204.00

3,400*6=20,400

Step-by-step explanation:

pls brainlies

3 0
2 years ago
Read 2 more answers
Tan(tan^-1(sqrt(3)/2))
nordsb [41]
Sorry i don't know. i tried. Can you try and help me?
3 0
3 years ago
7x+5=8x Please help !!
MakcuM [25]

7x + 5 = 8x

=》 7x - 8x = - 5

=》 x = - 5 The final Answer!

3 0
3 years ago
Other questions:
  • What is directly in between 0.5 and 1.0?
    7·2 answers
  • What is 10 to the third power
    8·2 answers
  • What is the original list price if the didcount is $35 and the discount price is 10%?
    9·2 answers
  • Someone do this worksheet I’ll give u brainlist and 20 points(SHOW ALL WORK) on a piece of paper!!!
    11·1 answer
  • How do you find LCM? please give a good explanation!
    6·1 answer
  • Kiran collects data about the number of trees on school property and the average standardized test scores for those schools. Kir
    11·2 answers
  • Find the value of each variable that makes the equation true.
    13·1 answer
  • What is rational number​
    7·1 answer
  • Two numbers with a product of 1, such as 3/4 and 4/3 are called reciprocals
    6·1 answer
  • The hypotenuse is 26. One of the legs measure 13. What is the length of the other leg?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!