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Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adu

Alex_Xolod [135]

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

$H_0: p = 0.4$

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

$H_1: p > 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $\mu = 0.4, \sigma = \sqrt{0.4*0.6}$

Random sample of 15 adults, 8 favor capital punishment.

This means that $n = 15, X = \frac{8}{15} = 0.5333$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}$

$z = 1.05$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

3 0

2 years ago

Solve for xxx.

const2013 [10]

Answer:

No solutions

Step-by-step explanation:

Solve for x the system of two inequalities:

$\left\{\begin{array}{l}-9x+5$

First, solve each inequality separately:

1.

$-9x+5$

2.

$13x+25$

Now, we get

$x>-\dfrac{4}{3}$

and

$x$

There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.

4 0

2 years ago

What is the answer for the four at the bottom?

Sladkaya [172]

What am I suppose to do so I can help you?

7 0

2 years ago

What is the probability from a two way table ?

vladimir1956 [14]

You may remember the two way relative frequency table where each entry in the table is divided by a total from the table. When each cell is divided by the table total (in this case 240), you get a two way whole table relative frequency. (There are also row and column relative frequency tables.)

4 0

2 years ago

Bennett tried to solve exercise 1 a few different ways. Which of his methods are correct? Of the other methods, which makes the

nasty-shy [4]

The answer is e beac=use it fits

4 0

3 years ago