If y=3x squares find the value of why when X=4

In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o

melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

C. $z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558$

D. $z_{\alpha/2}=-1.96$ $z_{1-\alpha/2}=1.96$

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

$\hat p=\frac{33}{363}=0.0912$ estimated proportion of orders not accurate

$p_o=0.10$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

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 $p_o$ .

C: Find the test statistic

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

$z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558$

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

$z_{\alpha/2}=-1.96$ $z_{1-\alpha/2}=1.96$

P value

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.

6 0

3 years ago

Summer brought 45 feet of wood trim at a home depot store. The wood cost 1.65 per foot, including sales tax. Of summer paid with

PolarNik [594]

Multiply 45 and $1.65 then you get $74.25

Now subtract $100 and $74.25 to get the the amount of change
ANSWER IS $25.75

7 0

3 years ago

The graph represents the piecewise function:

svetoff [14.1K]

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

5 0

3 years ago

Read 2 more answers

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

$(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{234.25}\\c=15.30$

Hence,

Length of diagonal of picture = 15.30 inches

3 0

3 years ago

The equation y = 11x represents the liters of water a baseball team drinks each practice. This equation shows that after two pra

Stells [14]

The constant of proportionality is equal to 11.

<h3>Constant of Proportionality</h3>

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.

The constant of proportionality can be solved mathematically as

$y = 11x\\x = 2\\22 = 11(2)\\22 = 22\\$

The constant of proportionality is the value that makes y = 11x and it is 11.

Learn more on proportionality here;

brainly.com/question/28413384

#SPJ1

4 0

1 year ago