Mathematics, 08.04.2020 04:18 bagofmud8339

In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 29 of 200 persons now rate Pepsi as being "concerned with my health." What is the p-value for the test that would show whether or not there is sufficient evidence that the percentage has increased?

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Answer from: ilianysacosta10

$z=\frac{0.145 -0.1}{\sqrt{\frac{0.1(1-0.1)}{200}}}=2.121$

p_v =P(z2.121)=0.0170

Step-by-step explanation:

Data given and notation

n=200 represent the random sample taken

X=29 represent the persons who now rate Pepsi as being "concerned with my health

$\hat p=\frac{29}{200}=0.145$ estimated proportion of persons who now rate Pepsi as being "concerned with my health

p_o=0.10 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 true percentage is higher than 10% or 0.1.:

Null hypothesis: $p\leq 0.1$

Alternative hypothesis: p 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 .

Calculate the statistic

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

$z=\frac{0.145 -0.1}{\sqrt{\frac{0.1(1-0.1)}{200}}}=2.121$

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 right tailed test the p value would be:

p_v =P(z2.121)=0.0170

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

Answer from: Quest

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.
Find the area of the rectangle guysss i need it rut now plz us

Find the area of the rectangle guysss i need it rut now plz us

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