Annie chooses a girl who is a junior probability when there is 14 juniors

Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that

insens350 [35]

Complete Question

Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?

Margin of error(to four decimal places)

Interval estimate (to four decimal places)

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?

Margin of error(to four decimal places)

Interval estimate to (to four decimal places)

Answer:

a

$0.6120 < p < 0.639 + 0.6670$

b

$0.3900 < p < 0.4440$

Step-by-step explanation:

Considering question a

The sample proportion is 1995 is $\^ p_1 = 0.639$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.639 (1- 0.639)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.639 -0.027 < p < 0.639 + 0.027$

=> $0.6120 < p < 0.639 + 0.6670$

Considering question b

The sample proportion is 1995 is $\^ p_2 = 0.417$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.417 (1- 0.417)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.417 -0.027 < p < 0.417 + 0.027$

=> $0.3900 < p < 0.4440$

6 0

3 years ago

What is the solution of log2x + 6 8 = 3?

Fantom [35]

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

5 0

3 years ago

From these regression results: coefficients standard error t stat intercept 5.6 2.0 2.8 adv 4.9 0.6 9.0 price – 0.5 0.1 – 5.9 su

Margaret [11]

Your so smart you should go to high school

5 0

3 years ago

Which scatter plot does NOT suggest a linear relationship between x and y?

Katen [24]

H because it doesn’t go in a straight line

4 0

3 years ago

A certain television is advertised as a 26 inch TV (the diagonal length). If the width of the TV is 10 inches, how many inches t

emmainna [20.7K]

Answer: The TV is 24 inches tall

Step-by-step explanation: The question has provided the diagonal and the width of the rectangle shaped television. From this bit of information, we can deduce that the diagonal of the rectangle (television) is also the Hypotenuse (26 inches) while the the other two sides are the Length and the Width (10 inches).

For every right angled triangle, we can apply the Pythagoras theorem to solve for any unknown side. The theorem states that

AC² = BC² + AB²

Where AC is the hypotenuse (longest side)

26² = 10² + AB²

676 = 100 + AB²

Subtract 100 from both sides of the equation

576 = AB²

Add the square root sign to both sides of the equation

√576 = √AB²

24 = AB

Therefore, the height of the television is 24 inches

7 0

4 years ago