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
deff fn [24]
3 years ago
5

A report summarizes a survey of people in two independent random samples. One sample consisted of 700 young adults (age 19 to 35

) and the other sample consisted of 200 parents of children age 19 to 35. The young adults were presented with a variety of situations (such as getting married or buying a house) and were asked if they thought that their parents were likely to provide financial support in that situation. The parents of young adults were presented with the same situations and asked if they would be likely to provide financial support to their child in that situation. (a) When asked about getting married, 41% of the young adults said they thought parents would provide financial support and 43% of the parents said they would provide support. Carry out a hypothesis test to determine if there is convincing evidence that the proportion of young adults who think parents would provide financial support and the proportion of parents who say they would provide support are different. (Use α = 0.05. Use a statistical computer package to calculate the P-value. Use μyoung adults − μparents. Round your test statistic to two decimal places and your P-value to three decimal places.)
Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51    

p_v =2*P(Z  

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.  

Step-by-step explanation:

1) Data given and notation  

n_{1}=700 sample of young adults (age 19 to 35)

n_{2}=200 sample of children age 19 to 35

p_{1}=0.41 represent the proportion of young adults said they thought parents would provide financial support

p_{2}=0.43 represent the proportion of parents said they would provide support

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)  

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

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for the two samples are different , the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

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

z=\frac{p_{1}-p_{2}}{\sqrt{\frac{p_1 (1-p_1)}{n_{1}}+\frac{p_2 (1-p_2)}{n_{2}}}}   (1)  

3) Calculate the statistic  

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

z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51    

4) Statistical decision

We can calculate the p value for this test.    

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

p_v =2*P(Z  

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.  

You might be interested in
The table shows the number of students in a class who play on a school team and/or are members of a school club:
eimsori [14]
This one is very simple.

create a simple equation to find out

15 = 12 + x

subtract 12 from each side

x= 3

the missing number is 3

or, to be even simpler, take the total, subtract the total from the number you know and the difference is the missing number.

hope I helped



ALSO, we can check going down vertically. 3 + 10 =13. this is the total listed at the bottom.
3 0
3 years ago
Nick put 7 1/2 pounds of candy into 6 boxes, the same amount into each. What is the weight of the candy in each box?
zhenek [66]

7 1/2 / 6 = 1.25 pounds

Candy weight in each box = 1 1/4 pounds

6 0
3 years ago
Read 2 more answers
I need help with #66 and #68
NeX [460]

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

4 0
3 years ago
Help Please ASAP thanks
Fittoniya [83]
Your answer would definitely be the 3rd answer choice.
6 0
3 years ago
Read 2 more answers
Identify the points corresponding to P and Q.
maksim [4K]
The answer is A) P’(5,4)Q’(2,7)
hope this helped .
4 0
3 years ago
Read 2 more answers
Other questions:
  • A forest fire covers twice the amount of forest as it did 3 days ago. 3 days ago, this fire covered 300 square miles and it cont
    13·2 answers
  • how do you use equations to solve problems about area of rectangles parallelograms trapezoids and triangles
    6·1 answer
  • What does squares mean
    8·1 answer
  • The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
    5·1 answer
  • A scale drawing for a rectangular parking lot measures 6 cm by 12 cm. The scale is 5 cm: 25 m. Find the area of the parking lot.
    13·1 answer
  • URGENT DUE SOON!! IF ANYONE COULD PLEASE ANSWER THE QUESTIONS ON MY PROFILE THAT WOULD BE AMAZING!!!
    9·1 answer
  • Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an
    5·1 answer
  • In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?
    6·2 answers
  • Question 3<br> Find 250% of 4.4
    10·1 answer
  • Using number line what is 4-5​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!