What is the role of the sample size in the determination of confidence interval? Explain.

Q: nc ca ic

A: num Base line Ca levels Ca level 2 weeks later 1 4.1 8.4 2 2.4 5.3 3 3.6 6.6 4 2 2.5…

Q: what is measured by a confidence interval and describe the factors that affect the width of a…

A: How much ambiguity there is for any given statistic is a confidence interval. Confidence intervals…

Q: How to find margin of error and 95% confidence interval?

A: Margin of error:The margin of error helps in constructing confidence intervals, which gives a range…

Q: What does the level of significance r

A: Level of significance: The type I error occurs if “rejecting the null hypothesis if the null…

Q: Why do we need to compute a confidence interval rather than simply stating a point estimate

A: Whenever we discuss the estimation of an unknown parameter, there is a need for a confidence…

Q: What is a Confidence Level? what is one example of the use of the Confidence Interval?

A: A level of confidence refers to the percentage of all possible samples which the true population…

Q: confidence interval for the mean response” and prediction interval” for a New response is.

A: The difference between the " confidence interval for the mean response"  and the prediction interval…

Q: Explain which would result in a wider large-sample confidence interval for : a 90%pconfidence level…

A: The z critical value for 95% confidence interval is 1.96 and the z-critical value for 90% confidence…

Q: What is the impact of increasing the confidence level for a confidence interval? Makes the interval…

A: We are assuming that all other things are constant.   Confidence Interval is range that contains all…

Q: The confidence interval for a population porportion is (0.34, 0.5). What the the sample proportion…

A: Given  The confidence interval for a population proportion (0.34,0.5)  estimate the sample…

Q: What does a 95% confidence level mean?

A: The 95% confidence level means that if the hypothesis test is repeated on the certain process, then…

Q: Increasing the sample size and decreasing the level of confidence are two ways of obtaining a…

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Q: How will you explain a confidence interval and a hypothesis test to a businessperson who does not…

A: A confidence interval tell us the probability that estimated population parameter lie with in the…

Q: а. What is the 99% confidence interval for the difference between the average attendance between…

A: a. The pooled estimator of σ2 is, sp2=n1-1s12+n2-1s22n1+n2-2=10-112.532+11-113.07210+11-2=164.2767…

Q: Explain what "80% confidence" means in a 80% confidence interval. What does "80% confidence" mean in…

A: Given that  confidence level = 80%   Generally , When we interpret the confidence interval we write…

Q: Unlike confidence intervals, hypothesis tests require that some predetermined population value be…

A: The confidence intervals, provide the range where the population mean or parameter will remain in…

Q: "Calculating a confidence interval provides you with an indication of how reliable your sample mean…

A: The degree of confidence is the likelihood that the confidence interval will include the true mean…

Q: What is the difference between confidence interval of population and a population proportion

A: A confidence interval is a type of estimate computed from the statistics of the observed data. This…

Q: Explain what is the test statistic used for constructing confidence interval on a proport

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Q: What is the effect of increasing the confidence level on the margin of error?

A: The formula for calculating the margin of error is,   The margin of error is directly proportional…

Q: Explain when you would use the z value or the t-value to calculate a confidence interval

A: Z value: The z value is used for finding the confidence intervals for single population proportion,…

Q: What is the relationship between variation in a data set and the width of the confidence intervals…

A: Confidence intervals tell you the most likely range of the unknown population average or percentage…

Q: how you recognize when an inferential statistics problem involves either a confidence interval…

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Q: What are two ways to get a narrower confidence interval for a proportion?

A: Two ways to get a narrower confidence interval for a proportion are:

Q: What are confidence intervals?

A:

Q: Explain how to identify the minimum sample size needed to construct a confidence interval for the…

A: Sample size for proportion is given by

Q: Define relationship between confidence intervals and significance tests?

A: Test: Denote τ as a population parameter of interest. Suppose sample data are collected from the…

Q: How can we interpret a 95% confidence interval?

A: How to interpret a 95% confidence Interval?  We know that,  Confidence Interval is defined as the…

Q: Explain the three properties of confidence intervals.

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Q: What is the effect on a confidence interval if one decreases both sample size and the level of…

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Q: whats a confidence interval?

A: Confidence intervals: Confidence intervals are the limits for the point estimate of population…

Q: When checking conditions for calculating a confidence interval for a proportion, you should use…

A: This is a question of Theoretical Distribution.

Q: Does the confidence interval not change for population proportion vs sample proportion

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Q: Describe how a Confidence Interval might be a better piece of information to report from a study…

A: Confidence intervals provide information about a range in which the true value lies with a certain…

Q: What is the difference between confidence interval for proportion and confidence interval for mean

A: Confidence interval: Point estimation provide a single value and nothing can be said about the…

Q: Why do we use a t-distribution to compute confidence intervals for population means?

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Q: Explain the population characteristic for using confidence interval?

A: A confidence interval is a set of values that will possibly include an unknown parameter for the…

Q: How do you find the confidence interval for a population mean with known standard deviation?

A: Confidence intervals: Confidence intervals are the limits for the point estimate of population…

Q: Describe the construction and interpretation of confidence interval estimates for the mean and the…

A: Mean is a method to measure the central tendency, and proportion is a fraction of the favourable…

Q: What is the confidence level (as a percent) for a confidence interval computed as sample proportion…

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Q: What is the 95% confidence interval for population proportion?

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Q: Explain what happens when finding the margin of error if all stays the same except that the…

A: Conditions with respect to confidence interval and the margin of error:   As the confidence level…

Q: What happens to the interval width as confidence level increases? Why?

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Q: Explain the concept of a 95% confidence interval for the population mean ? by listing (and…

A: 95% confidence interval is an interval in which the population mean falls with probability 0.95 For…

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on the margin of error: If the sample size decreases, then the standard error of statistic…

Q: explain the logic behind why confidence intervals with higher confidence levels are wider than…

A: Confidence interval: A confidence interval is a way to measure the degree of uncertainty (or…

Q: why we use the Standard Error

A: Standard Error: Standard error is the standard deviation of the sampling distribution of an…