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dsp73
3 years ago
8

So, im not sure what the rest of the values should be. Should the a or b value increase?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

b should increase

Step-by-step explanation:

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Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
How many solutions does this linear system have?
Tanya [424]

Answer:

B (2.5, 0)

Step-by-step explanation:

2x - y = 5 (multiply all by 4)

8x- 4y = 20

-8x - 4y = - 20

eliminate the 4y

8x- 4y = 20

-8x - 4y = - 20

-------------------- –

16x = 40

x = 40/16 = 2.5

now we substitute x with 2.5

2x - y = 5

2(2.5) - y = 5

y = 0

8 0
3 years ago
Which triangles could you use the HL Theorem to prove that Δ 1 = Δ 2?
UNO [17]
Number 3. I think so.
7 0
3 years ago
Read 2 more answers
Which system of linear equations represents another pair of parallel lines?
vesna_86 [32]

Answer:

The answer is C. 3x+y=7, 6x+2y=10

Step-by-step explanation:

7 0
3 years ago
Find the Shaded Area:<br> 10 m<br> 10 m
Greeley [361]

Answer:

100-25pi m

Step-by-step explanation:

Let us subtract the circles area from the square

<em>First, let us find the area of the square:</em>

Base x height =

10m x 10m = 100m

<em>Now, the circle:</em>

pi x radius ^2 =

pi x (10/2)^2 =

pi x 5^2=

25 pi

Therefore, the shaded area is 100-25pi m. You can also simplify it further by plugging in the 3.14... value into pi.

<em>I hope this helps! :)</em>

6 0
3 years ago
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