Wisconsin Public Radio wants to duplicate a survey conducted in 2011 that found that 68% of adults living in Wisconsin felt that the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%? Be sure to show all your work and round appropriately

Answers

Answer 1

Answer:

Answer:

655 people would need to be surveyed.

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.

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

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

In this question, we have that:

$\pi = 0.68$

The margin of error is:

$M = z\sqrt{(\pi(1-\pi))/(n)}$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - (0.1)/(2) = 0.95$ , so $Z = 1.645$ .

How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%?

We need to survey n adults.

n is found when M = 0.03. So

$M = z\sqrt{(\pi(1-\pi))/(n)}$

$0.03 = 1.645\sqrt{(0.68*0.32)/(n)}$

$0.03√(n) = 1.645√(0.68*0.32)$

$√(n) = (1.645√(0.68*0.32))/(0.03)$

$(√(n))^(2) = ((1.645√(0.68*0.32))/(0.03))^(2)$

$n = 654.3$

Rounding up

655 people would need to be surveyed.

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Need Help What Is -10r+9r

Answers

The value for the expression -10r + 9r is -1r.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

-10r+9r

Now, perform operations to solve

=-10 r + 9r

= r( -10 + 9)

Using properties of integers

(-) x (+ )= -

So,

= r( -1)

= -1r

Learn more about Algebra here:

brainly.com/question/24875240

#SPJ5

Answer:

-1r

Step-by-step explanation:

Part a: if angle a and angle b are vertical angles, what is the value of X? part b: if angle a and angle b are supplementary angles, what is the measure of angle b?

Answers

Answer:

a. x = 8

b. m<B = 140

Step-by-step explanation:

m<A = m<B

40 = 5x

x = 8

m<A + m<B = 180

m<B = 180 - m<A

m<B = 180 - 40

m<B = 140

A flower delivery driver is 8 1/2 miles west of a city's zoo when she receives a call to pick up flowers from the flower store. The flower store is 14.35 miles east of the zoo. Assume the driver takes the most direct route to the flower store. How will the driver drive to the flower store? Select from the drop-down menus to correctly complete the statement. The driver will drive Choose... miles Choose... .

Answers

Answer: It's 22.85 East

Step-by-step explanation:

Took the test and got a 100%

Answer: 22.85

Step-by-step explanation:

if she starts out 8.5 mile WEST of a zoo, and has to go 14.35 miles EAST of the zoo, then add both of those numbers, and you get, 22.85 miles

Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

Answers

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. If we are testing at the 5% significance level to see whether the business school preparation course is effective in improving exam scores, our critical value is 1.895. We should reject the null if the test statistic is

Answers

Answer: We should reject the null if the test statistic is greater than 1.895.

Step-by-step explanation:

We assume the population to be normally distributed.

Given: Sample size : $n=8$ , which is asmall sample (n<30), so we use t-test.

We always reject the null hypothesis if the absolute t-value is greater than critical value.

Therefore, We should reject the null if the test statistic is greater than 1.895.

Please help me with this problem

Answers

I think the answer is A. Hope this help

A is the answer
So your welcome

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