How do u write 0.125 as a ratio

Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a

hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

$H_0 : p = 0.80$

$Ha : p < 0.80$

$\hat p = \frac{x}{ n} \\\\= \frac{74}{97}$

= 0.7629

Now Test statistic = z

$= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]$

$= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]$

= -0.91

Now

P-value = 0.1804

$\alpha = 0.01$

$P-value > \alpha$

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0

3 years ago

I can’t figure this out!! please helppp

krok68 [10]

Answer:

The third answer

Step-by-step explanation:

(side note: You probably need to use a calculator that can calculate pi)

The formula to find the area of a circle is pi r squared.

In this case, pi times r squared is 19.63495....... continued

This is probably going to be rounded

so... 19.63

For all of the circles, this is multiplied by 4.

This is 78.52

The area of the square is 100 cm since 10 times 10 is 100

You take 100 cm and then subtract it by 78.54

Voila! now you have 21.46

3 0

3 years ago

Read 2 more answers

In the 2000 presidential election, three candidates split the vote as follows:

Lera25 [3.4K]

Answer:

c 23 and 0.46 are statistics and 0.484 is a parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

$\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46$

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.

Step-by-step explanation:

Previous concepts

A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by $p$

A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by $\hat p$ represent the statistic for this case.

Solution for the problem

a 0.46 and 0.484 are statistics

False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"

b 50 and 23 are statistics and 0.484 is a parameter

False. The sample size is not an statistic is just a value selected in order to calculate the statistic.

c 23 and 0.46 are statistics and 0.484 is a parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

$\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46$

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.

6 0

3 years ago

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

5 0

2 years ago

Help asap plz ill give a gold medal. the label on cars antifreeze claims to protect the car between -30celsius and 130celsius. t

irga5000 [103]

The inequality would start out looking like this:
$-30\ \textless \ \frac{5}{9} (F-32)\ \textless \ 130$
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
$-270\ \textless \ 5(F-32)\ \textless \ 1170$
Then distribute the 5 into the parenthesis:
$-270\ \textless \ 5F-160\ \textless \ 1170$
Now add 160 everywhere:
$-110\ \textless \ 5F\ \textless \ 1330$
and finally divide everything by 5:
-22<F<266

4 0

3 years ago