the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area

The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

X=152 represent the people passed the exam

$\hat p = \frac{152}{200}= 0.76$ estimated proportion of people report having texted while driving

$p_o = 0.68$ is the value that we want to test

$\alpha$ represent the significance level

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 0.68.:

Null hypothesis: $p \leq 0.68$

Alternative hypothesis: $p>0.68$

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:

$z=\frac{0.76 -0.68}{\sqrt{\frac{0.68(1-0.68)}{200}}}=2.425$

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 next step would be calculate the p value for this test.

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

$p_v = P(z>2.425) = 0.0076$

The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.

5 0

4 years ago

Assume that t varies jointly as r and q2². If t=320 when r=5 and q = 4, what is the value of q when r= 1 and t= 196?

Harrizon [31]

Step-by-step explanation:

$t = k(r)( {q}^{2} )$

$320 = k(5)( {4}^{2} )$

$320 = 80k$

$k = 4$

$196 = 4(1)( {q}^{2} )$

$49 = {q}^{2}$

$q = 7$

4 0

3 years ago

There are 4 red lollipops and 6 orange lollipops in a bag. Luigi grabs one at random and sees that it is red. He eats the red lo

NikAS [45]

Luigi ate one red lolipop. So there is now 3 red and 6 orange lolipops, this means that there is a 3 out of 9 chances or 33% chance that the next lolipop will be red.

3 0

3 years ago

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