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
Ivanshal [37]
4 years ago
10

More people are using social media to network, rather than phone calls or e-mails (US News & World Report, October 20, 2010)

. From an employment perspective, jobseekers are no longer calling up friends for help with job placement, as they can now get help online. In a recent survey of 150 jobseekers, 67 said they used LinkedIn to search for jobs. A similar survey of 140 jobseekers, conducted three years ago, had found that 58 jobseekers had used LinkedIn for their job search. Use Table 1.
Let p1 represent the population proportion of recent jobseekers and p2 the population proportion of job seekers three years ago. Let recent survey and earlier survey represent population 1 and population 2, respectively.a. Set up the hypotheses to test whether there is sufficient evidence to suggest that more people are now using LinkedIn to search for jobs as compared to three years ago.
A. H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
B. H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
C. H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
b. Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)c. Calculate the critical value at the 5% level of significance. (Round your answer to 3 decimal places.)d. Interpret the results.
A. Do not reject H0; there is no increase in the proportion of people using LinkedIn
B. Do not reject H0; there is an increase in the proportion of people using LinkedIn
C. Reject H0; there is no increase in the proportion of people using LinkedIn
D. Reject H0; there is an increase in the proportion of people using LinkedIn
Mathematics
1 answer:
Darina [25.2K]4 years ago
8 0

Answer:

B. H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0

z=\frac{0.447-0.414}{\sqrt{0.431(1-0.431)(\frac{1}{150}+\frac{1}{140})}}=0.57    

z_{crit}=1.64

A. Do not reject H0; there is no increase in the proportion of people using LinkedIn

Step-by-step explanation:

1) Data given and notation  

X_{1}=67 represent the number of recent jobseekers

X_{2}=58 represent the number of job seekers three years ago.

n_{1}=150 sample of recent jobseekers selected  

n_{2}=140 sample of job seekers three years ago selected  

p_{1}=\frac{67}{150}=0.4468 represent the proportion of recent jobseekers

p_{2}=\frac{58}{140}=0.4143 represent the proportion of job seekers three years ago

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if "More people are using social media to network, rather than phone calls or e-mails", the system of hypothesis would be:  

Null hypothesis:p_{1} - p_{2} \leq 0  

Alternative hypothesis:p_{1} - p_{2} > 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{67+58}{150+140}=0.4310  

3) Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.4468-0.4143}{\sqrt{0.4310(1-0.4310)(\frac{1}{150}+\frac{1}{140})}}=0.5671    

In order to find the critical value since we have a right tailed test the we need to find a value on the z distribution that accumulates 0.05 of the area on the right tail, and this value isz_{crit}=1.64.

4) Statistical decision

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

p_v =P(Z>0.5671)= 0.285  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

So the correct conclusion would be:

A. Do not reject H0; there is no increase in the proportion of people using LinkedIn

You might be interested in
Indicate the method you would use to prove the two triangle 's . If no method applies, enter "none".
Sever21 [200]

<em>You would use AAS because of the fact that there is two angles and the angle where both triangles instersect and create a verticle angle, there is no angle written. It has an angle then another angle then a side. Hope this helps!</em>

5 0
3 years ago
Read 2 more answers
Evaluate the expression<br> cos(30°)=
alina1380 [7]

Answer:

cos (30) =\sqrt{\frac{3}{2} } =0.8660

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

3 0
2 years ago
Read 2 more answers
Add or subtract. (3/x-2)+(4/x+5)
Alex787 [66]
The answer is 7x+7/x^2+3x-10
3 0
3 years ago
Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
Choose the equations in which w = 100 makes the equation true.
Ugo [173]
Answer is A
Hope it helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • Two cars are 750 miles apart and start moving towards each other. One car moves with the average speed of 40 mph and the other i
    5·2 answers
  • Jessica went shopping and bought a pair of jeans that were on sale for 25% off the original price of $23.98. A 6% tax was also a
    5·1 answer
  • Name other places where you would see slope in the real world.
    11·1 answer
  • each morning a gardener uses 24 3/4 gallons of water from a barrel. each afternoon, she adds 15 1/4 gallons of water to the barr
    12·1 answer
  • A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be
    10·1 answer
  • (X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
    12·1 answer
  • Which of the following correctly uses absolute value to show the distance between −50 and 12? |−50 − 12| = |−62| = −62 units
    13·2 answers
  • Plzzz help square paralellogram
    7·1 answer
  • Explain the steps (in order) of how to write this function:
    10·1 answer
  • Proving the Congruent Supplements Theorem
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!