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
diamong [38]
3 years ago
10

According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea

d email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students.
She selects 300 community college students at random and finds that 120 of them have a smart phone. In testing the hypotheses: H0: p = 0.35 versus Ha: p > 0.35, she calculates the test statistic as Z = 1.82.

Use the Normal Table to help answer the p-value part of this question.

Click here to access the normal table.

1. There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

2. There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.068).

3. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.966).

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).
Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

Step-by-step explanation:

Data given

n=300 represent the random sample taken

X=120 represent the people who have a smart phone

\hat p=\frac{120}{300}=0.4 estimated proportion of people who have a smart phone

p_o=0.35 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)  

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of people who have a smart phone is higher than 0.35, the system of hypothesis are.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

The statistic is given by:

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

Calculate the statistic  

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

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

Statistical decision  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

You might be interested in
the store at which Andy usually shops is having a sale. Roast beef cost $4 a pound and shrimp cost $10 a pound.write an equation
otez555 [7]

The correct equation would be.. 4x+10y=96

5 0
3 years ago
Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equat
____ [38]

Answer:

9x^2+4y^2=36

Step-by-step explanation:

We are given that

x=2cos t

y=3 sin t

0\leq t\leq 2\pi

cost=\frac{x}{2}

sint=\frac{y}{3}

sin^2 t+cos^2 t=(\frac{x}{2})^2+(\frac{y}{3})^2

1=\frac{x^2}{4}+\frac{y^2}{9}

By using the formula

sin^2\theta+cos^2\theta=1

1=\frac{9x^2+4y^2}{36}

9x^2+4y^2=36

4 0
3 years ago
PLEASE HELP 25PTS!! Select the correct answer from each drop-down menu.
lions [1.4K]

Answer:

The quality control facility operates for 10 hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

c(t)= -t^2+8t+20

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

c(t)= -t^2+(10t-2t)+20

c(t)= (-t^2+10t)+(-2t+20)

Taking out the common factors from each parenthesis.

c(t)= -t(t-10)-2(t-10)

c(t)= (t-10)(-t-2)

c(t)=-(t-10)(t+2)

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

0=-(t-10)(t+2)

t-10=0\Rightarrow t=10

t+2=0\Rightarrow t=-2

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

7 0
3 years ago
write in slope intercept form an equation of the line that passes through the given points (-2,3) (2,7)​
yarga [219]
1. Slope = Yb - Ya / Xb - Xa
= 7-3/2-(-2)
= 7-3/2+2
= 4/4
= 1

2. Y-intercept
Y = mx + b
7 = (1)(2) + b
7 = 2 + b
7 - 2 = 2-2 + b (two’s cancel out and we are just left with our b on the right side)
5 = B

Therefore, the equation is: Y = 1x + 5 which is also the same thing as: Y= X +5.
3 0
3 years ago
Is this the right Answer?
AfilCa [17]
Check out the attached image. 

Figure 1 moves to figure 2 after the translation rule (x,y) ---> (x+1, y+2)

Figure 2 moves to figure 3 after the rotation 90 degrees clockwise around the origin

Figure 3 moves to figure 4 after the translation rule (x,y) ---> (x+2, y-3)

Figure 4 is in quadrant IV. The size does not change

-----------------------------------------------

Answer: Choice B) Quadrant IV; no

6 0
3 years ago
Other questions:
  • Which graph represents the equation x=-2
    7·2 answers
  • A used motorcycle is priced at $3,438. If you borrow the money for the motorcycle, your payments will be $165 a month for 24 mon
    10·1 answer
  • A plane intersects a solid. The resulting cross section is a trapezoid.
    15·1 answer
  • The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet
    7·1 answer
  • 47 / 101 Marks
    14·1 answer
  • Three runners run 100 yards race. Sara runs the race in 9.25 seconds, Alex runs the race in 8.625 seconds and Tonya runs the rac
    15·1 answer
  • Question 5 Multiple Choice Worth 4 points)
    14·1 answer
  • PLZ HELP QUICK!!! MARK BRAILIEST!!!
    8·1 answer
  • Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali
    13·1 answer
  • jessie hiked 5(1/2) miles on sunday and 6(3/4) miles on sunday .how many miles did jessie hike altogether ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!