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dybincka [34]
3 years ago
5

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul

ts. Use a 0.05 signifcance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results should polygraph test results be prohibited as evidence in trials? identify the null hypothesis, alternative hypothesis, test statistic, P-value conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
a. H0:p= 0.80 b. H0:p=0.20
H1:p>0.80 H1: p =/ 0.20
c. H0:p=0.20 d. H0:p= 0.80
H1:p< 0.20 H1: p< 0.80
e. H0: p= 0.20 f. H0: p= 0.80
H1: p>0.20 H1:p =/ 0.80
the test statistic is z=
the P-value is ?
Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

H0:p= 0.80                 H1: p< 0.80  one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80                 H1: p< 0.80  one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237    q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value  does not fall in the critical region  we fail to reject the null hypothesis. There is not sufficient evidence to support  the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z <  -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005  Fail to reject H0.

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5×6=30y-12 :22 (5'3 and is perpendicular to the line .

Step-by-step explanation:

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Step-by-step explanation:

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Pls help me on this question:)
r-ruslan [8.4K]

Answer:

x= 28

Step-by-step explanation:

The angles both sum up to 180°. So, the equation would be: 39+(5x+1)= 180.

Step 1- Add common numbers.

(39+1)+5x= 180

40+5x= 180

Step 2- Subtract 40 to both sides.

40+5x= 180

-40          -40

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Step 3- Divide both sides by 5.

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5 0
3 years ago
The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%.
irakobra [83]

Answer:

a. 0.8366

b. No

Step-by-step explanation:

We will use the central limit theorem which can be applied to a random sample from any distribution as long as the mean and the variance are both finite and the sample size is large (the sample size n should be greater than 30). Here we have that the tip percentage at the restaurant has a mean value of 18% and a standard deviation of 6%, then because of the central limit theorem, we know that the sample mean tip percentage is approximately normally distributed with mean 18% and standard deviation 6/\sqrt{40}%=0.9487%.

a. The z-score related to 16% is given by (16-18)/0.9487 = -2.1081 and the z-score related to 19% is given by (19-18)/0.9487 = 1.0541. We are looking for P(16 < \bar{X} < 19) = P(-2.1081 < Z < 1.0541) = P(Z < 1.0541)- P(Z < -2.1081) = 0.8540 - 0.0175 = 0.8366

b. If the sample size had been 15 rather than 40, then, the probability requested in part (a) could not be calculated from the given information, this because the central limit theorem only applies when the sample size is large, for example n > 30.

8 0
3 years ago
1/3 cup of flour is used to make 5 dinner rolls.
Radda [10]
Divide.

1/3 / 5

Or multiply by the reciprocal of 5:

1/3 * 1/5 = 1/15

Therefore 1/15 cup of flour is used to make 1 dinner roll.

We can set up a proportion:

5/1/3 = x/5 2/3

Multiply 5 2/3 to both sides:

28 1/3 / 1/3 = x

85 = x

So 85 rolls can be made with 5 2/3 cups of flour.
3 0
3 years ago
Read 2 more answers
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