What is the y intercept?

Suppose 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are atypical in

Sonbull [250]

Answer:

We conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

Step-by-step explanation:

We are given that 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are typical in this respect. He surveys 40 customers and finds 60% have traveled outside of the U.S.

We have to test is this result a statistically significant difference.

Let p = % of DC area adults who have traveled outside of the United States

SO, Null Hypothesis, $H_0$ : p = 40% {means that 40% of DC area adults have traveled outside of the United States}

Alternate Hypothesis, $H_a$ : p $\neq$ 40% {means that % of DC area adults who have traveled outside of the United States is different from 40%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = % of customers who have traveled outside of the United States

in a survey of 40 customers = 60%

n = sample of customers = 40

So, test statistics = $\frac{0.60-0.40}{\sqrt{\frac{0.60(1-0.60)}{40} } }$

= 2.582

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical value of 1.96 for two-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

7 0

3 years ago

What is the range of the function?

goldfiish [28.3K]

Answer:

yeheheehejehejejejjejjejejejejje

8 0

2 years ago

Use the graph of the function. Determine Over what interval(s) the function is positive or negative.

soldier1979 [14.2K]

Answer:

please where is the drawing I mean the graph

6 0

3 years ago

What two numbers can be added to get a sum of 16, and multiplied to get a product of 30?

alexdok [17]

9514 1404 393

Answer:

8 ± √34 ≈ {2.169, 13.831}

Step-by-step explanation:

Let x represent one of the numbers. Then the other is 16 -x and their product is ...

x(16 -x) = 30

x^2 -16x = -30 . . . . . eliminate parentheses, multiply by -1

x^2 -16x +64 = 34 . . . . add 64 to complete the square

(x -8)^2 = 34 . . . . . . . . rewrite

x -8 = ±√34 . . . . . . . .square root

x = 8 ± √34 . . . . . . add 8

x ≈ {2.169, 13.831}

3 0

3 years ago

Plzz help me i really need help guys

OverLord2011 [107]

Answer:

Figure 1: 226 $ft^{2}$

Figure 2: 111 $mm^{2}$

Step-by-step explanation:

For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.

For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.

4 0

3 years ago