2.14x - 42.9 for x = 22.4 ?<br> A. -18.36<br> B. 5.026<br> C. 47.939<br> D. 90.839

The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent. H0:

Shkiper50 [21]

Answer:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

7 0

2 years ago

Jerry's Fish Shack claims that 16% of its employees are late to work once a week. The manager surveyed 25 employees and found th

larisa86 [58]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:

Null hypothesis: $p=0.16$

Alternative hypothesis: $p \neq 0.16$

$z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546$

$p_v =2*P(z>0.546)=0.585$

Step-by-step explanation:

Data given and notation

n=25 represent the random sample taken

$\hat p=0.2$ estimated proportion

$p_o=0.16$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:

Null hypothesis: $p=0.16$

Alternative hypothesis: $p \neq 0.16$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>0.546)=0.585$

4 0

2 years ago

Draw a model to show 5.5/5

REY [17]

I don't understand the question you are asking sorry.

7 0

2 years ago

Victor baked 30 chocolate chip cookies,18 peanut butter cookies, and 24 sugar cookies. He wants to split them up into equal and

mylen [45]

Answer:

He can make 6 groups

Step-by-step explanation:

To solve this problem first you need to find the GCF or greatest common factor. Now you can put 5 chocolate chip cookies in each group, 3 peanut butter, and 4 sugar cookies. These are all relatively prime so that would be your final answer.

7 0

2 years ago

Ronald owns a fish tank on thr shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronal

mash [69]

Answer: $2,004\ in^2$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Based on the information given in the exercise, you can draw the fish tank attached, where the dimensions are: 18 inches high ( $h=18\ in$ ), 14 inches deep ( $w=14\ in$ ), and 30 inches long ( $l=30\ in$ ).

The area that was convered will be the sum of the areas of all the faces, but the top of the tank.

Therefore, the area that was convered is the following:

$A=(30\ in)(18\ in)+(30\ in)(18\ in)+(18\ in)(14\ in)+(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2(30\ in)(18\ in)+2(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2,004\ in^2$

5 0

2 years ago

2.14x - 42.9 for x = 22.4 ? A. -18.36 B. 5.026 C. 47.939 D. 90.839