Helpppp please and ty

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents,

RoseWind [281]

Answer:

The statement that "the margin of error was given as $\pm5$ percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval $\hat{p} \pm 0.05$ ; where $\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05$ is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

$z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$z_{\alpha /2}$ is the critical value that corresponds to the confidence level; the confidence level being $1-\alpha$ ,

$\hat{p}$ is the sample's proportion of successes,

$n$ is the size of the sample.

In this exercise we have that $\hat{p}=0.14$ and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

$\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)$

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0

3 years ago

What number is 25% of 400 please show work thank you

ANEK [815]

Answer:

100

Step-by-step explanation:

well, you can just use a calculator, or your mind if that's possible, to solve this.

at least, what i think you're asking.

400 × 0.25 = 100.

this one is extra easy because you should know that 25% is a quarter, and 400 can just be divided by 4 to get your answer.

6 0

2 years ago

Plzz helpp mee in this question!!!

VashaNatasha [74]

Answer:

Please see attached picture for full solution.

4 0

3 years ago

Can someone please explain how they got this answer because the entire lesson they haven’t shown me how to graph these

I am Lyosha [343]

Answer:

Please check explanations

Step-by-step explanation:

Here, we have three types of equations and three plotted graphs

we have a quadratic equation

an exponential equation

and a linear equation

For a quadratic equation, we usually have a parabola

The first equation is quadratic and as such the first graph that is parabolic belongs to it

For an exponential equation, we usually have a graph that rises or falls before becoming flattened

The second equation represents an exponential equation so the second graph is for it

Lastly, we have a linear equation

A linear equation usually has a straight line graph

Thus, as we can see, the third graph represents the linear equation

5 0

3 years ago

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With

Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

Step-by-step explanation:

Data given and notation n

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.36$ is the value that we want to test

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 is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

When we conduct a proportion test we need to use the z statisitc, 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 is significantly different from a hypothesized value .

Calculate the statistic

For this case the statistic is given:

$z = 2.074$

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:

$p_v =2*P(z>2.074)=0.0381$

5 0

3 years ago