Winter Olympics (Example 12) According to a 2018 Rasmussen Poll, 40 % of American adults were very likely to watch some of the Winter Olympic coverage on television. The survey polled 1000 American adults and had a margin of error of plus or minus 3 percentage points with a 95 % level of confidence. a. State the survey results in confidence interval form and interpret the interval. b. If the Rasmussen Poll was to conduct 100 such surveys of 1000 American adults, how many of them would result in confidence intervals that included the true population proportion? c. Suppose a student wrote this interpretation of the confidence interval: “We are 95 % confident that the sample proportion is between 37 % and 43 % . ” What, if anything, is incorrect in this interpretation?
Winter Olympics (Example 12) According to a 2018 Rasmussen Poll, 40 % of American adults were very likely to watch some of the Winter Olympic coverage on television. The survey polled 1000 American adults and had a margin of error of plus or minus 3 percentage points with a 95 % level of confidence. a. State the survey results in confidence interval form and interpret the interval. b. If the Rasmussen Poll was to conduct 100 such surveys of 1000 American adults, how many of them would result in confidence intervals that included the true population proportion? c. Suppose a student wrote this interpretation of the confidence interval: “We are 95 % confident that the sample proportion is between 37 % and 43 % . ” What, if anything, is incorrect in this interpretation?
Solution Summary: The author explains how the 95 % confidence interval for the population proportion is calculated.
Winter Olympics (Example 12) According to a 2018 Rasmussen Poll,
40
%
of American adults were very likely to watch some of the Winter Olympic coverage on television. The survey polled 1000 American adults and had a margin of error of plus or minus 3 percentage points with a
95
%
level of confidence.
a. State the survey results in confidence interval form and interpret the interval.
b. If the Rasmussen Poll was to conduct 100 such surveys of 1000 American adults, how many of them would result in confidence intervals that included the true population proportion?
c. Suppose a student wrote this interpretation of the confidence interval: “We are
95
%
confident that the sample proportion is between
37
%
and
43
%
.
”
What, if anything, is incorrect in this interpretation?
Note: The purpose of this problem below is to use computational techniques (Excelspreadsheet, Matlab, R, Python, etc.) and code the dynamic programming ideas seen inclass. Please provide the numerical answer to the questions as well as a sample of yourwork (spreadsheet, code file, etc.).We consider an N-period binomial model with the following properties: N = 60, thecurrent stock price is S0 = 1000; on each period, the stock price increases by 0.5% whenit moves up and decreases by 0.3% when it moves down. The annual interest rate on themoney market is 5%. (Notice that this model is a CRR model, which means that thebinomial tree is recombining.)(a) Find the price at time t0 = 0 of a (European) call option with strike price K = 1040and maturity T = 1 year.(b) Find the price at time t0 = 0 of a (European) put option with strike price K = 1040and maturity T = 1 year.(c) We consider now, that you are at time t5 (i.e. after 5 periods, which represents 1month later). Assume that the stock…
show work in paper
show all work (...or what you entered into your calculator...)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.