which of the following is correct for a 95% confidence interval for a politician
ID: 3341169 • Letter: W
Question
which of the following is correct for a 95% confidence interval for a politicians level of support (0.29, 0.46)? Explain. (a) There's a 95% chance that the interval correctly captured the politician's level of support in this sample, i.e. that between 29% and 46% of the sample support the politician. (b) 95% of all samples will produce values between 29% and 46%. (c)There's a 95% chance that the interval correctly captured the politician's level of support, ie, that between 29% and 46% of the constituents support the politician (d) 95% of the time, between 29% and 46% of constituents will support the politician Choice. Explanation:Explanation / Answer
The confidence level is the frequency (i.e., the proportion) of possible confidence intervals that contain the true value of their corresponding parameter. In other words, if confidence intervals are constructed using a given confidence level in an infinite number of independent experiments, the proportion of those intervals that contain the true value of the parameter will match the confidence level.
Confidence intervals consist of a range of values (interval) that act as good estimates of the unknown population parameter.
Hence 95% chance that population value will lie in the range of CI
Based on this explanation, c is correct answer as it is saying 95% chance that the interval correctly captured the politician level of support.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.