Who do you agree with? Explain why.

70% of the U.S. population recycles. According to a green survey of a random sample of 250 college students, 204 said that they

pav-90 [236]

Answer:

$z=\frac{0.816 -0.7}{\sqrt{\frac{0.7(1-0.7)}{250}}}=4.002$

$p_v =P(z>4.002)=0.0000314$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people said that they recycled is significantly higher than 0.7 or 70%

Step-by-step explanation:

Data given and notation

n=250 represent the random sample taken

X=204 represent the people said that they recycled

$\hat p=\frac{204}{250}=0.816$ estimated proportion of people said that they recycled

$p_o=0.7$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 higher than 0.7.:

Null hypothesis: $p\leq 0.7$

Alternative hypothesis: $p > 0.7$

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 $\hat p$ 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:

$z=\frac{0.816 -0.7}{\sqrt{\frac{0.7(1-0.7)}{250}}}=4.002$

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 significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>4.002)=0.0000314$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people said that they recycled is significantly higher than 0.7 or 70%

3 0

3 years ago

Let f be a scalar field and F be a vector field. The following expressions either represent scalar fields, vector fields, or are

Mama L [17]

Answer:

(a) curl f - meaningless

(b) grad f -Δf- vector field

(c) div F - scalar field

(d) curl( grad f )curl (Δf)- vector field (e) grad F -ΔF- meaningless

(f) grad( div F )-Δ(divF) - vector field

(g) div( grad f ) - div(Δf)- scalar field

(h) grad ( div f ) -Δ(div f)-meaningless

(i) curl ( curl F ) - vector field

(j) div( div F ) - meaningless

(k) ( grad f ) x ( div F ) -(Δf) x (divF)-meaningless

(l) div( curl( grad f )) -div(curl(Δf))-scalar field

Step-by-step explanation:

(a) curl f - meaningless; a curl can only be taken of a vector field

(b) grad f - vector field; a gradient results in a vector field

(c) div F - scalar field; a divergence results in a scalar field

(d) curl( grad f ) - vector field; the curl of a vector field results in a vector field

(e) grad F - meaningless; a gradient can only be taken of a scalar field

(f) grad( div F ) -vector field ; the gradient of a scalar field is a vector field

(g) div( grad f ) - scalar field; the divergence of a vector field is a scalar field

(h) grad ( div f ) - meaningless; the divergence of a scalar field can not be taken

(i) curl ( curl F ) - vector field; the curl of a vector field is a vector field

(j) div( div F ) - meaningless; the divergence of a scalar field can not be taken

(k) ( grad f ) x ( div F ) - meaningless; a vector and scalar field cannon be crossed

(l) div( curl( grad f )) - scalar field; the divergence of a vector field is a scalar field

5 0

3 years ago

If a pork roast must absorb 1700 kj to fully cook, and if only 14% of the heat produced by the barbeque is actually absorbed by

Lesechka [4]

The amount of heat needed to cook the pork roast is 1700 kJ.

The amount of heat absorbed by the roast is 14% of the heat produced = 14% X ?H = 310.38 kJ/mol

One mole of propane burns to produce 3 moles of CO2 and -2217 kJ of heat.

1700kJ/ (14% X ?H) = mol of C3H8 burned

1700kJ / (310.38 kJ/mol) = 5.48 mol C3H8

Since 3 moles of CO2 are produced:

3 X 5.48 mol= 16.43 mols of CO2

convert moles to grams:

16.43 mol CO2 X 44.0g/mol ~ 722.9 g CO2 produced

6 0

3 years ago

Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest

aleksandr82 [10.1K]

Answer:

See below

Step-by-step explanation:

<h3>Graphing:</h3>

we are given two functions

$\displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}$

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

<h3>solutions stating:</h3>

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

5 0

3 years ago

How do I do this problem I am stuck .

vekshin1

4p - 9 = -193
4p = -193 = 9
4p = -184
p = -184/4
p = -46

3 0

4 years ago

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