Mathematics, 02.08.2021 21:00 imanim3851

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is .

Answers: 1

Show answers

Answers

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

-------------------------------------------------------------------

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

H_0: p = 0.6

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

$H_1: p \neq 0.6$

-------------------------------------------------------------------

Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of |Z_c| = 1.645 , and the decision rule is:

Accept the null hypothesis: |Z| < 1.645

Reject the null hypothesis: |Z| 1.645

-------------------------------------------------------------------

Test statistic:

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

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.

0.6 is tested at the null hypothesis:

This means that $\mu = 0.6, \sigma = 0.4$

75 out of a sample of 140:

This means that:

$n = 140, \pi = \frac{75}{140} = 0.5357$

-------------------------------------------------------------------

Value of the test statistic:

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

$z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}$

z = -1.55

So |z| = 1.55

-------------------------------------------------------------------

Decision:

For a similar example, you can check

Answer from: Quest

the answer is (-4,-4)

hope this ! : d

Answer from: Quest

9.8? i'm not really sure

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:00, hockeykid7583

The axis of symmetry for the graph of the function f(x)=1/4^2+bx +10 is x=6. what is the value of b?

Answers: 1

continue

Mathematics, 21.06.2019 22:00, reesewaggoner8

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2

Answers: 1

continue

Mathematics, 22.06.2019 00:00, kluke7170

Someone which statements are true? check all that apply.

Answers: 1

continue

Mathematics, 22.06.2019 00:30, qqbear4555

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.

Answers: 1

continue

You know the right answer?

The National Center for Education Statistics would like to test the hypothesis that the proportion o...