Q3(12). The historical data shows that approximately 64% of public school principals inone province were female. Recently, one survey shows that 231 of 328 randomlyselected principal in that province were female.1.(2) Check if the sample proportion P is approximately normal.2.(4) Is there any evidence to suggest that the proportion of female principals haschanged? Use a = 0.05.3.(3) Find the 99% confidence interval for the true population proportion P.4.(3) Use above info as prior experience, find the minimum sample size such that thebound on error of estimation is no larger than 0.1, for a 99% confidence interval.

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Answered: Jais one province were female.…

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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In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 90% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females?7,7,1,8,6,5,8,8,8,8,5,9 What is the confidence interval for the population mean u? __<u<__ (Round to one decimal place as needed.)
In order to estimate the percentage of adults who file their taxes at least two weeks be deadline, a 99% confidence interval is constructed. The interval ends up being from 0.756 to 0.864. Which of the following could be a 90% confidence interval for the same sample data? I. 0.749 to 0.871 II. 0.776 to 0.844 III. 0.765 to 0.875 IV. 0.799 to 0.841 OI only OIV only None of the answer options are reasonable 90% confidence intervals. III only O II only
19.
In a Time/CNN survey, 24% of 205 single women said that they “definitely want to get married.” In the same survey, 27% of 260 men gave that same response. Construct a 99% confidence interval estimate of the difference between the proportion of single women and single men who definitely want to get married. 2. Is there a gender gap on this issue? How do you know?
27)
What is the approximate sample size required to estimate the percentage of Americans who have earned a college degree to within 2%, with 95% confidence?
The mean score on the math portion of the ACT for the year 2000 is μ = 20.7. A sample of 20 students in a local school district had a mean of 22.95. Using the sample, a 95% confidence interval estimate for the mean is (20.76, 25.14). State the point estimate for the mean ACT score for students. Based on this sample information , do you believe that the local students have a mean different from the general population? Why? 22.95 is in the center of the interval. The means are definitely not different. 22.95 is just outside the 95% confidence interval. Can't say the means are really different. 22.95 is not equal to 20.7. The means are definitely different. 20.7 is just outside the 95% confidence interval. Can't say the means are really different.
8. In late 2020, a poll was conducted to determine the proportion of American adults that subscribed to a TV or movie streaming service since January 2020. The surveyors randomly selected 2200 American adults. The results are shown in the relative frequency table below. Response Frequency Subscribed to at least one 794 Did not subscribe to a new one 1406 Given this information, we want to create a 95% confidence interval to estimate the proportion of American adults that subscribed to a TV or movie streaming service since January 2020. a. What is the value of the point estimate for our 95% confidence interval? b. What is the margin of error for our 95% confidence interval? (Use the formula to compute it). Round your answer to three decimal places. C. Using your answers to parts (a) and (b), find a 95% confidence interval estimating the proportion of American adults that subscribed to a TV or movie streaming service since January 2020.
9.
In a Time/CNN survey, 24% of 205 single women said that they “definitely want to get married.” In the same survey, 27% of 260 men gave that same response. 1. Construct a 99% confidence interval estimate of the difference between the proportion of single women and single men who definitely want to get married. 2. Is there a gender gap on this issue? How do you know?

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