Express 0.032 as a fraction in lowest terms

The University of Arkansas recently approved out of state tuition discounts for high school students from any state. The student

Fudgin [204]

Answer:

$z=\frac{0.872 -0.9}{\sqrt{\frac{0.9(1-0.9)}{180}}}=-1.252$

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% the proportion of students who came from Arkansas or a bordering state is not significantly lower than 0.9

b. Fail to reject H0; conclude that the new policy increases the percentage of students from states that don’t border Arkansas

Step-by-step explanation:

Data given and notation n

n=180 represent the random sample taken

X=157 represent the students who came from Arkansas or a bordering state

$\hat p=\frac{157}{180}=0.872$ estimated proportion of students who came from Arkansas or a bordering state

$p_o=0.9$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

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 or not than 0.9.:

Null hypothesis: $p\geq 0.9$

Alternative hypothesis: $p < 0.9$

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:

$z=\frac{0.872 -0.9}{\sqrt{\frac{0.9(1-0.9)}{180}}}=-1.252$

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 $\alpha=0.1$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% the proportion of students who came from Arkansas or a bordering state is not significantly lower than 0.9

b. Fail to reject H0; conclude that the new policy increases the percentage of students from states that don’t border Arkansas

4 0

3 years ago

A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart

Morgarella [4.7K]

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

8 0

3 years ago

Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

Svetradugi [14.3K]

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

$60x=80y$

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

$y=x-5$

Now we have two equations, we can use to substitute into the other expression:

$60x=80y$

$60x=80(x-5)$ we substitute y in this equation with the other equation

$60x=80x-400$

$-20x =-400$

$x = 20$

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

5 0

2 years ago

For what values of x and y must the figure have in order to be parallelogram?

Oduvanchick [21]

Answer:

y = 10°

x = 64°

Step-by-step explanation:

Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.

For the figure to be a parallelograms, since opposite angle are equal

12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

7 0

3 years ago

CAN SOMEONE PLS HELP 6TH GRADE MATH ILL GIVE BRAINLIEST

ASHA 777 [7]

Answer:

14/100 and 7/50

Step-by-step explanation:

Basically you convert the decimal into a fraction, 14 percent is the same as 14/100 and if you simplify that then you get 7/50

4 0

3 years ago