Explain how to identify the minimum sample size needed to construct a confidence interval for the proportion with a specific margin of the error when the population proportion is unknown.

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: Suppose the desired confidence level is fixed, then what is the effect of a larger sample size on…

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

A: Let us first define sample size and confidence interval. Sample size: It is determination of the…

Q: Find the critical t value to use in making a 99% confidence interval for a mean if the sample size…

A: Solution-: Given: n=7,α=0.01 We find the critical t- value to use in making a 99% C.I. for a mean

Q: We wish to estimate what percent of adult residents in Ventura County like chocolate. Out of 500…

A: The sample proportion of the sample of size n can be defined as:  Here, X = Total number of success…

Q: What is the minimum required sample size to make a 97% confidence interval for a population…

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Q: When computing a confidence interval and the interval includes the numbers zero,what does this mean…

A: When computing a confidence interval and the interval includes the numbers zero,what does this mean…

Q: Suppose we know that a confidence interval for a population mean is (53, 67), with a margin of error…

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Q: Find the critical t value to use in making a 98% confidence interval for a mean if the sample size…

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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: What is the confidence interval estimate for the population mean? If the sample mean is 13 and error…

A: Given information: The sample mean is, M = 13 The error bound for the mean is, E = 3.2 It is…

Q: We wish to estimate what percent of adult residents in a certain county are parents. Out of 500…

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Q: How large a sample is necessary to estimate the true proportion of unmarried Canadians aged 25-29…

A: Given data: Margin of error  = 5% = 0.05 Confidence level  = 0.90 To find: Sample size (n) = ?

Q: A television sports commentator wants to estimate the proportion of citizens who​ "follow…

A: Solution: From the given information, confidence level is 0.96 and E=0.02.

Q: process control engineer wishes to estimate the true proportion of defective computer chips by using…

A: GivenThe true proportion p=0.01Let the sample size be n.The Z critical value for 90% confidence…

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: 7. Why is a confidence interval also called a "margin of error"?

A: Margin of error allows us to feel confident a certain percentage of the time within a range of…

Q: We plan to sample students to construct a 98% confidence interval for the proportion who uses Yelp…

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Q: Bhabhylhyn, a public health researcher, would like to estimate the proportion of hospitals which may…

A: Solution:- from given information the margin of error M.E.=4%=0.04 95% confidence level

Q: Suppose you are planning to construct a 23% confidence interval for a one sample population…

A: We have given that confidence level (c) = 23% = 0.23

Q: Explain the type of Equation used for confidence interval calculation?

A: A confidence interval gives an approximate range of values which is likely to include an unknown…

Q: "if the confidence level or P-value does not change very much when the conditions for use of the…

A: In general, t-test is used for small samples and samples are normally distributed. It is used when…

Q: Explain the steps in computing a confidence interval for ρ?

A: Introduction: The steps to construct a confidence interval in general are: Identify a sample…

Q: nutritionist

A: Please refer to the image below

Q: What is the 90% confidence interval of the mean?

A: A confidence interval is an interval that has the property that is very likely that the population…

Q: When finding confidence intervals for one population mean, if you want a 95% confidence interval,…

A: Solution: Note: Hello! As you have posted 3 different questions, we are answering the first…

Q: What effect does increasing the sample size have on the width of a confidence interval? I know that…

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Q: if the margin of error for the population mean for 99% confidence level is 39, what is the standard…

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Q: How tp use a sample mean to calculate a confidence interval?

A: The equation for confidence interval can be stated as:

Q: Suppose we would like to estimate the proportion of all NBA fans who thought Aaron Gordon won the…

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Q: What prerequisites should students have the knowledge of before calculating the confidence intervals…

A: Determine the prerequisites should students have the knowledge of before calculating the confidence…

Q: When the results of a survey or a poll are published, the sample size is usually given, as well as…

A: a)   Given that the point estimate is 78% and the margin of error is ≠3%.   Therefore, the…

Q: 9. How can you make a 95% confidence interval smaller without changing the confidence level?

A: There are several number of ways to reduce the size of confidence interval without making any…

Q: What is the lower endpoint of a 95% confidence interval for the percent of students who like online…

A: Given Level of significance ɑ=0.05, x=92, n=134

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

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Q: Would it be reasonable to develop a confidence interval from these data to show the mean number of…

A: John is interested to know the number of hours children under 12 years if age watched TV per day.…

Q: How can a confidence interval be used to test a hypothesis?

A: How can a confidence interval be used to test a hypothesis?

Q: 3. What is the margin of error? 4. What is meant by the 95% confidence interval of the mean?

A: Solution-: We explain (4) What is the margin of error? (5) What is meant by the 95% C.I of the mean?…

Q: Is it possible to be 100% confident when using a confidence interval to estimate a population…

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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: A researcher wishes to estimate the 95% confidence interval of the proportion of students who show…

A: Given  e=Margin of error=30%=0.30,  p^=30%=0.30, level of significance ɑ=0.05

Q: Explain how to find a confidence interval for a population proportion using StatCrunch.

A: Confidence Interval: The form of the confidence interval is, CI = Point estimate ± Margin of error…

Q: Why is it that when we increase our confidence level in a confidence interval that the interval gets…

A: Confidence inteval is calculated with mean/proportion and standard error. While the value of…

Q: suppose that in sampling for the population proportion, it is found that 20 out of 100 items are…

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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…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.