Mathematics, 10.05.2020 06:57, chevi2005

A survey of 410 workers showed that 172 said it was unethical to monitor employee e-mail. When 135 senior-level bosses were surveyed, 37 said it was unethical to monitor employee e-mail. At the 1% significance level, do the data provide sufficient evidence to conclude that the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses.
A. What is the Parameter of interest?
B. What is the underlying Distribution?

Answers: 1

Show answers

Answers

answered: tj361

Step-by-step explanation:

Analysis of the Data Given:

For sample 1 , the sample size N_1 = 410

number of favorable cases X_1 = 172

thus ; the sample proportion is $\bar{p_1} = \frac{X_1}{N_1}$

= $\frac{172}{410}$

= 0.4195

For sample 2, the sample size N_2 = 135

number of favorable cases X_2 = 37

Then the sample proportion is $\bar{p_2} = \frac{X_2}{N_2}$

= $\frac{37}{135}$

= 0.2741

The value of the pooled proportion is computed as $\bar p = \frac{X_1+X_2}{N_1+N_2}$

= $\frac{172+37}{410+135}$

= 0.3835

We are also given that the significance level is $\alpha =0.01$

Null Hypothesis : H_0: p_1 =p_2 : the proportion of workers that say monitoring employee e-mail is unethical is not greater than the proportion of bosses.

Alternative hypothesis : H_1 : p_1 p_2 : the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses.

H_0: p_1 =p_2 :

H_1 : p_1 p_2 :

The above corresponds to the right-tailed test , for which a z-test for the two population proportions needs to be conducted .

Rejection Region:

From the given information ; the significance level is $\alpha =0.01$

Then; the critical value for a right tailed test is z_c = 2.33

The rejection region for this right tailed test is R = {z : z > 2.33}

Test Statistics:

The z-statistic is computed as:

$z ={\frac{\arrow p_1 - \arrow p_2}{\sqrt{ \bar p(1- \bar p)(1/n_1 + 1/n_2)} }$

$z ={\frac{0.4195- 0.2741}{\sqrt{ 0.3835(1-0.3835)(1/410 + 1/135)} }$

z = 3.014

Decision about the null hypothesis:

Since it is observed that z = 3.014 > z_c = 2.33 ; it is concluded that the null hypothesis is rejected

Using the P-value approach: The P-value p = 0.0013 and since p = 0.0013<0.01 , it is concluded that the null hypothesis is rejected.

Conclusion:

It is concluded that the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses.

answered: Guest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

answered: Guest

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.