Which of the following is equivalent to 18 -sqrt -25?

A university has found over the years that out of all the students who are offered admission, the proportion who accept is .70.

Vika [28.1K]

Answer:

$z=\frac{0.74 -0.7}{\sqrt{\frac{0.7(1-0.7)}{1200}}}=3.02$

$p_v =P(z>3.02)=0.0013$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of students that accept is significanlty higher than 0.7

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

X=888 represent the students that accept

$\hat p=\frac{888}{1200}=0.74$ estimated proportion of students that accept

$p_o=0.7$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.7.:

Null hypothesis: $p \leq 0.7$

Alternative hypothesis: $p > 0.7$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.74 -0.7}{\sqrt{\frac{0.7(1-0.7)}{1200}}}=3.02$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>3.02)=0.0013$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of students that accept is significanlty higher than 0.7

3 0

3 years ago

Write the equation of the line with the given point and slope. (1, -7); slope = -1

AURORKA [14]

Answer:

y=-1x-6

Step-by-step explanation:

use the y=mx+b formula

plug in 1 for x

plug in -7 for y

and plug in -1 for m

-7=-1(1)+b

-7=-1+b

add -1 on both sides

-6=b

so ur answer is

y=-1x-6

hope this helps and kinda make sense

7 0

3 years ago

Select the correct answer. If x and y are positive real numbers, which expression is equivalent to the expression below? (125x^4

Ksivusya [100]

Answer:

5x^(5/6)

Step-by-step explanation:

we will use properties of exponents

x^a/x^b = x^(a-b)

and

x^a * x^b = x^(a+b)

___________________________________

(125x^4y3/2)1/3÷(xy)1/2\\

expanding each term by taking power for each component of expression

=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)

=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)

using property = x^a/x^b = x^(a-b)

=>5x^(4/3 - 1/2) y^(1/2 -1/2)

y^(0) = 1

=> 5x^((4*2-3)/3*2) *1

=> 5x^(5/6)

Thus, value of expression is 5x^(5/6)

5 0

3 years ago

(9 + 33 – 6 ) ÷ 6 – 3 to the power of 2

Anna35 [415]

Answer:

Step-by-step explanation:

9+33-6)/6-3

42-6)/6-3

36/6-3

6-3

3 to the second power is 9

because three times three is 9

4 0

3 years ago

Read 2 more answers

Help me this please thank you

lidiya [134]

M(x, y) = ((x1 + x2)/2, (y1 + y1)/2); where (x1, y1) and (x2, y2) are the coordinates of G and H respectively.

M(4, 3) = ((5 + x2)/2, (-6 + y2)/2)
(5 + x2)/2 = 4 and (-6 + y2)/2 = 3
5 + x2 = 4 * 2 = 8 and -6 + y2 = 3 * 2 = 6
x2 = 8 - 5 = 3 and y2 = 6 + 6 = 12
x2 = 3 and y2 = 12

Therefore, the coordinates of H is (3, 12)

6 0

3 years ago