Ilang buwan ang katumbas ng 6 na taong gulang

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0

3 years ago

A typical tip in a restaurant is 18% of the bill. If the bill is 150,what would the typical tip be

Natasha_Volkova [10]

You want to leave a 18% tip on a meal that cost $150.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or

0.18 x $150.00=$27.00.

So, the amount of tip you are going to leave is $27.00.

This makes the total cost of your meal (to write on your charge slip or other payment)

$150.00 + $27.00 = $177.00.

-By TheRealMarinette

Please do not copy N Paste This Answer.

8 0

3 years ago

Dan earns £9.80 per hour. How much will he earn for 8 hours work?

jok3333 [9.3K]

Answer:

78.40

Step-by-step explanation:

Take 9.80 and times it by 8 to get 78.40

7 0

3 years ago

Read 2 more answers

Plz help!!!! (click on the pic)

goblinko [34]

Answer:

x^2+8x

Step-by-step explanation:

instructions included above :)

7 0

3 years ago

What is the area of an isosceles trapezoid, if its shorter base has length of 18 cm, the length of the altitude is 9 cm, and the

padilas [110]

The formula for the area of a triangle of base b and altitude h is A = (1/2)(b)(h).

Here, b = 18 cm and h = 9 cm. Thus, the desired area is:

(18 cm)(9 cm)

A = ----------------------- = 81 cm^2

2

This problem gives you more info than is needed to solve it. The area of the given triangle is 81 cm^2.

5 0

3 years ago

Ilang buwan ang katumbas ng 6 na taong gulang​

Ilang buwan ang katumbas ng 6 na taong gulang