Complete the steps to find the value of x

Let n1equals50, Upper X 1equals30, n2equals50, and Upper X 2equals10. Complete parts (a) and (b) below. a. At the 0.05 leve

Viefleur [7K]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

So the p value is a very low value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

Step-by-step explanation:

1) Data given and notation

$X_{1}=30$ represent the number of people with a characteristic in 1

$X_{2}=10$ represent the number of people with a characteristic in 2

$n_{1}=50$ sample of 1 selected

$n_{2}=50$ sample of 2 selected

$p_{1}=\frac{30}{50}=0.6$ represent the proportion of people with a characteristic in 1

$p_{2}=\frac{10}{50}=0.2$ represent the proportion of people with a characteristic in 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion 1 is different from proportion 2 , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{30+10}{50+50}=0.4$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a two sided test the p value would be:

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

So the p value is a very low value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

3 0

3 years ago

A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of m

denpristay [2]

The compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

A construction worker earns an average bi-weekly net pay of $1,764.00.

= 10% of 1764

= (10/100)1764

= $176.4

= 20% of 1764

= (20/100)1764

= $352.8

Inequality will be: $176.40 ≤ t ≤ $352.80

Thus, the compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ2

4 0

1 year ago

Read 2 more answers

What is 22,267,230 in word form

coldgirl [10]

Twenty two million two hundred sixty seven thousand two hundred thirty

8 0

3 years ago

Read 2 more answers

How many solutions does a triangle with values a=22, A= 117 degrees, and b=34 have? Write your answer in numeric form

valkas [14]

The answer to this would be “None” or “0“.

The explanation to this is that the 3 angles in a triangle must sum up to 180 degrees.

Given that angle A is 117 degrees opposite to side a of 22 units, therefore angle B must be greater than 117 degrees since it is opposite to side b of 34 units. The bigger the length of the side, the bigger is the angle opposite to it.

Assuming angle B is 118 degrees (the minimum it can have since it must be bigger than angle A):

sum of 2 angles = 117 degrees + 118 degrees

<span>sum of 2 angles = 235 degrees (Cannot be)</span>

8 0

3 years ago

Diego then says if we take half the first number and double the second the sum is 14. write an equation that could represent thi

Anon25 [30]

x = the first number

(x/2)² = 14

Hope this helps!

Can I get brainliest? thanks.

5 0

3 years ago