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
mamaluj [8]
3 years ago
13

Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming elect

ion. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)
Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

The p-value for the one-sided Hypothesis test described in this example is 0.3121.

Step-by-step explanation:

Test the hypothesis that more than 50% of people plan on voting for the levy.

At the null hypothesis, we test that the proportion is 50%, that is:

H_0: p = 0.5

At the alternate hypothesis, we test if this proportion is above 50%, that is:

H_a: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

Of these 150 respondents, 78 people say they plan on voting for the levy.

This means that n = 150, X = \frac{78}{150} = 0.52

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}

z = 0.49

Pvalue of the test:

The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.

Looking at the z-table, z = 0.49 has a pvalue of 0.6879.

1 - 0.6879 = 0.3121

The p-value for the one-sided Hypothesis test described in this example is 0.3121.

You might be interested in
I need to divide a recipe in half that calls for 1/2 of a cup of sugar. How much sugar do I need?
ella [17]

Answer:

1/4 cup of sugar

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do I solve this? Solve for x 2/3+5/3x=9
ElenaW [278]

Answer:

5

Step-by-step explanation:

3 0
2 years ago
Two angles of a triangle measure 22 and 53 what is the measure of the third angle
Musya8 [376]
The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)
3 0
3 years ago
3. A recipe calls for 2 cups of sugar to make 2 dozen cookies. Use the proportion to calculate how much sugar is needed to make
vova2212 [387]

Answer:

c. 6 cups

Step-by-step explanation:

The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.

7 0
3 years ago
Read 2 more answers
A hiker walks at a speed of 3 2 5 kilometers per hour. How many kilometers will the hiker walk in
Vika [28.1K]

Answer:

  = 2  4/15 km

Step-by-step explanation:

Speed = 3 2/5 km/hour

The units are not the same.  The speeds is in hours and the time is in minutes

Lets convert minutes to hours.  60 minutes = 1 hour

40 minutes * 1 hour/ 60 minutes = 40/60 hours = 2/3 hour

Distance = speed * time

                  = 3 2/5 * 2/3

Change the mixed number to an improper fraction

  3 2/5 = (5*3+2)/5 = 17/5

                   = 17/5 * 2/3

                  = 34/ 15  km

Change this back to a mixed number

 15 goes into 34 2 times  (15*2 = 30)  with 4 left over

                  = 2  4/15 km

3 0
3 years ago
Other questions:
  • Sandra has a box with markers. She has 4 red, 3 blue, 6 purple, 2 white, and 1 orange marker. How likely it is that Sandra will
    13·1 answer
  • Which shows a correct order to solve this story problem? The bus driver's route is 77.8 miles long on each of the first four day
    15·2 answers
  • Solve the equation using the Zero-Product Property (X-9)(x+7)=0
    14·1 answer
  • 1/3 of the result of 3 times in number that is increased by 12
    10·2 answers
  • When subtracting decimals with the same sign you?? what does it mean???
    6·2 answers
  • What’s one way to check 102÷6 = 17
    9·2 answers
  • If n(p)=20, n(Q)=30 and n (PUQ)=40<br><br>then<br><br>Draw a veen diagram of the above information.
    15·2 answers
  • (Due in 20 minutes!)
    10·1 answer
  • Please ANSWER and explain it. please please answer it i dont know what to do
    13·2 answers
  • A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some de
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!