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what is the interpretation of a 96% confidence level?

A. The interval contains 96% of all sample means.

B. ​There's a 96% chance that the given interval includes the true value of the population parameter.

​C. Approximately 96 out of 100 such intervals would include the true value of the population parameter.

D. ​There's a 4% chance that the given interval does not include the true value of the population parameter.

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Karol A.
Karol A.Lv10
17 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Use the following scenario for questions 6 – 8. In 2016-17, the average SAT score of the UVA first year class was 1420 out of 1600. An advisor in the statistics department is interested in determining whether statistics majors from that class have higher SAT scores than the average. He tests H,:µ = 1420 against Hạ: µ > 1420, where u is the mean SAT score for statistics majors from the 2016-17 first year class. In a simple random sample of 30 statistics majors, he finds a sample mean SAT score of 1440 with sample standard deviation of 40.

6. What is the value of the test statistic for this significance test?

a. 0.09

b. 0.5

c. 2.73

d. 20

7. From what distribution is this test statistic?

a. N(0, 1)

b. N(1420, 7.30)

c. t distribution with 29 degrees of freedom

d. t distribution with 28 degrees of freedom

8.) The p-value for this test is 0.005. Which of the following is a proper interpretation of this p- value?

a.There is a 0.5% chance that the null hypothesis is true.

b. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample a. mean SAT score from 30 statistics majors would equal 1440.

c.If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or lower.

d. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or higher.

Which of the following is NOT true when testing a claim about a​proportion?

A. If you want to test a claim about population​ proportions, use the​ P-value method or the classical method of hypothesis testing.

B. When testing claims about population​ proportions, the traditional method and the​ P-value method are equivalent in the sense that they always yield the same result.

C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

D. Both the traditional method and​ P-value method use the same standard deviation based on the claimed proportion​ p, but the confidence interval uses an estimated standard deviation based on the sample proportion ModifyingAbove p with caretp.

Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poil asked respondents if they felt vulnerable to identity theft. In the poil. n=1089 and x=570 who said ''yes. ''Use a 99% confidence level.

Click the icon to view a tabie of z scores.

(a) Find the best point estimate of the population proportion p.

a. find the best point estimate of the population proportion p.(Round to three decimal places as needed.)

b. Identify the value of the margin of error(Round to three decimal places as needed.)

c. Construct the confidence interval(Round to three decimal places as needed.)

d. write a ststement that correctly inteprets the confidence interval(Round to three decimal places as needed.)

 

 

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