Solve S=ab³/3 for b

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

Item

goblinko [34]

C is the answer 12 marbles and 20 marbles

8 0

4 years ago

Maria runs 7 miles in 80 minutes. at the same rate, how many miles would she run in 64 minutes

Alex777 [14]

Answer:

5.6 miles

Step-by-step explanation:

Firstly, we need to find the unit rate (the number of miles in 1 minutes).

To get this, we need to divide total miles ran (7 miles) by the total minutes taken (80 minutes). Thus, we will have MILES PER MINUTE.

7 miles ÷ 80 minutes = 7/80 miles per minute

Now,

We want number of miles in 64 minutes. Since we know "PER MINUTE", we simply multiply that with 64 to get number of miles in that amount of time.

THus,

$\frac{7}{80}*64=\frac{56}{10}=5.6$

So, in 64 minutes, Maria can run 5.6 miles

6 0

3 years ago

I WILL GIVE U BRAINLIEST, NO LINKS. ITS JUST 1 QUESTION

4vir4ik [10]

It’s the first one :)

6 0

3 years ago

Please help they’re 2 questions

IgorLugansk [536]

i think it’s is a for the first one

4 0

4 years ago

Solve S=ab³/3 for b​

Solve S=ab³/3 for b