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Kitty [74]
3 years ago
12

A square has sides of length x. If the sides are all tripled in length, the area of the square is multiplied by

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

3

Step-by-step explanation:

you would multiply by 3

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Test the hypothesis using the P value approach. Be sure the verify the requirements of the test.
Andreas93 [3]

Answer:

p_v =2*P(z  

If we compare the p 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 proportion is not significantly different from 0.77.  

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

\hat p=\frac{380}{500}=0.76 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.76 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)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:  

Null hypothesis:p=0.77  

Alternative hypothesis:p \neq 0.77  

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.

<em>Check for the assumptions that he sample must satisfy in order to apply the test </em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

np_o =500*0.77=385>10

n(1-p_o)=384*(1-0.77)=115>10

3) Calculate the statistic  

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

z=\frac{0.76-0.77}{\sqrt{\frac{0.77(1-0.77)}{500}}}=-0.531  

4) 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=0.05. 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  

If we compare the p 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 proportion is not significantly different from 0.77.  

6 0
3 years ago
Can someone help me with the area of this please
Georgia [21]

Answer:

60 meters

Step-by-step explanation:

15x4=60 ez maths cmon

7 0
3 years ago
Read 2 more answers
Two coplanar lines that are perpendicular to the same line are parallel.
Semenov [28]

Coplanar lines are <u>lines</u> that lie on the same <u>plane</u>.

Theorem: If two <u>coplanar lines</u> are <u>perpendicular</u> to the same  line, then the two lines are <u>parallel</u> to each other.

This theorem is true always, therefore, given statement is true always.

Answer: correct choice is A

3 0
3 years ago
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Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is
Kobotan [32]
121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate
3 0
3 years ago
Can you just give me answers
sammy [17]

Answer:

to what

Step-by-step explanation:

5 0
3 years ago
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