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8_murik_8 [283]
3 years ago
12

2) In a class of 31 students, some study Physics and some study Chemistry. If 22

Mathematics
1 answer:
Annette [7]3 years ago
3 0
I believe the answer is C
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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
A large container holds 4.9 gallons of water. Use the following information to convert this amount of water to liters. Round you
Ivenika [448]

Answer:

the gallons must be convert to quarts. 4.9 gallons equals 20.6 quarts. 20.6 quarts divide by 1.057 liters equals 19.489 liters.

3 0
2 years ago
27 over X =3 and 5y = 35 what is the value of <br> X• Y?
diamong [38]

Answer:

63

Step-by-step explanation:

\frac{27}{x} = 3

divide, 27 ÷ 3

you'll get 9, so

x = 9

Next part

5y = 35

divide both sides by 5 to isolate y,

5y ÷ 5 = 35 ÷ 5

=

y = 7

So

x = 9 and y = 7

Then let's add the numbers to our equation ( x × y)

9 × 7

=

63

7 0
3 years ago
KAYLA WALKS 3 2/5 MILES EACH DAY. HOW FAR WILL SHE WALK IN 7 DAYS?​
Artemon [7]

Answer:

23.8 Miles in 7 days

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A 40 ft power boat is on sale by owner. How long is the boat to the nearest yard?
andriy [413]
<span>3 feet make 1 yard.
40 feet make 13 and 1/3 yards
So that is 13 yards to nearest </span>
8 0
3 years ago
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