Use the following figure to answer the question.

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

John wants his friends to figure out what number he is thinking of. He gives them three clues: It is a whole number. The number

Sedbober [7]

Answer:

11 and 12

Step-by-step explanation:

5 0

3 years ago

Mr smith buys pencils at $250 per hundred and sells each at $1.75 find his loss or profit

Nat2105 [25]

Answer:

per 100 pencils he looses $75

Step-by-step explanation:

If he sells 100 pencils at $1.75 he will make $175 which is less than the $250 he spent for the 100 pencils. So per 100 pencils he looses $75

8 0

3 years ago

Read 2 more answers

Please answer BOTH questions

Lera25 [3.4K]

Answer:46.28, 193.75

Step-by-step explanation:

The first one you add (((2.5+4.7)x3.05)+1.18)x2. And the second one you (7.50+0.25)x25.

4 0

3 years ago

The cost of 7 apples is $2.10. What is the constant of proportionality that relates to the number of apples ,x, to the cost in d

Tomtit [17]

Answer:

y is the number of apples.

Step-by-step explanation: Because if x is the cost for one apple then y is for the number of apples.

4 0

3 years ago