Explain which would result in a wider large-sample confidence interval for p: a 90% confidence level or a 95% confidence level? (Hint: Consider the confidence interval formula.)O For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical valuefor a 95% confidence interval.O For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical valuefor a 90% confidence interval.For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical valuefor a 90% confidence interval.For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical valuefor a 95% confidence interval.

Thare are two CI given 90% & 95% we have to find which CI have a larger Confidence interval

Answered: Explain which would result in a wider…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A 99% confidence interval for the mean population height of male college freshman is calculated from a random sample of 50, and the confidence interval is (64,74) inches. Select all answers that apply. 2 For the instructor, this was question 28. Choose all that apply. Interpretation: 99% of the time the population mean lies between 64 inches to 74 inches Interpretation: 99% of the confidence intervals will contain the population mean. The population mean is random. The confidence interval is random. A 90% confidence interval will be shorter in length. A 90% confidence interval will be longer in length.
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A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which one of the following is a correct interpretation of this 95% confidence interval? 1 We are 95% confident that the sample proportion of young adults who skip breakfast is between .20 and .27. 2 We are 95% confident that the proportion of young adults in the population who skip breakfast is between .20 and .27. 3 The proportion of young adults who skip breakfast 95% of the time is between .20 and .27. 4 We are 95% confident no mistakes were made when the interval from .20 to .27 was computed.
Explain which would result in a wider large-sample confidence interval for p: a 90% confidence level or a 95% confidence level? (Hint: Consider the confidence interval formula.) a. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. b. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. c. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. d. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval…
K A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 12% chose chocolate pie, and the margin of error was given as +3 percentage points. Given specific sample data, which confidence interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. B OA. A 95% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion. OB. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% -80% - 20% of the true population parameters, while the 95% confidence interval only contains 100%-95% = 5% of the true population parameters. OC. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the…
IMR in Singapore. The infant mortality rate (IMR) is the number of infant deaths per 1000 live births. Suppose that you have been commissioned to estimate the IMR in Singapore. From a random sample of 1109 live births in Singapore, you find that 0.361% of them resulted in infant deaths. You next find a 90% confidence interval: or 0.000647 to 0.00657. You then conclude, “I can be 90% confident that the IMR in Singapore is somewhere between 0.647 and 6.57.” How did you do?
Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true? a) The 95% confidence interval is wider than the 90% confidence interval. b) The 95% confidence interval is the same length as the 90% confidence interval. c) The 95% confidence interval is narrower than the 90% confidence interval. d) There is no way to tell from the given information.
You are estimating how much population A's proportion of answering yes to a question exceeds population B's proportion who say yes to the same question by using a confidence interval. You have some ability to control the width of your interval. Which of the following would be most likely to ensure that the confidence interval is narrowed? O a. You increase both sample sizes and you decrease your confidence level. O b. You increase both sample sizes and you increase your confidence level. OC. You decrease both sample sizes and you increase your confidence level. O d. You decrease both sample sizes and you decrease your confidence level.
Ezekiel wants to use an interval from a sample based on z-scores to estimate the proportion of seniors in his school who have a smartphone. He takes a MORE of 20 out of the total 100 seniors and finds that 12 of those sampled have a smartphone. What conditions for constructing this confidence interval does Ezekiel's sample satisfy? Choose all the appropriate answers: The data is a random sample from the population of interest The observed scores of successes and failures are large enough Individual observations can be considered independent
The full question for part B is written down below. (b) The 90% confidence interval is (__,__). It does/does not seem likely that the population mean could be within 8% of the sample mean because 8% off from the sample mean would fall outside/inside the confidence interval. It does not/does seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall outside/inside the confidence interval.
How would a 90% interval compare with the others in width? A. A 90% interval would be narrower than the 95% confidence interval but wider than the 80% confidence because intervals get narrower with increasing confidence level. B. A 90% interval would be wider than the 95% confidence interval but narrower than the 80% confidence because intervals get narrower with increasing confidence level C. A 90% interval would be wider than the 95% confidence interval but narrower than the 80% confidence because intervals get wider with increasing confidence level. D. A 90% interval would be narrower than the 95% confidence interval but wider than the 80% confidence because intervals get wider with increasing confidence level.
What is the correct interpretation for a 95% confidence interval of the population mean μ? The probability that the population mean is in the interval is 5%. In the long run, 95% of the intervals created will contain the population mean. There is a 5% chance that the sample mean will be in the interval. 95% of the population has a value in the confidence interval.

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