If n=310 and X = 248, to construct a 90% confidence interval, you need to use which one of the following calculatorHypothesis Test for a Population Mean Given DataTwo Independent Proportions ComparisonOne-Way ANOVAChi-Square Test for IndependenceChi-Square Test for Goodness of FitTwo Dependent Sample Means Comparison Given DataConfidence Interval for a Population Mean Given StatisticsHypothesis Test for a Population Mean Given StatisticsConfidence Interval for a Population Mean Given DataTwo Independent Sample Means Comparison Given StatisticsHypothesis Test for a Population ProportionTwo Independent Sample Means Comparison Given DataConfidence Interval for a Population Proportion Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.Confidence interval = ---------------. Express the same answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. -------- < p < -------------. Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p = ------------ ± -------------

Given that n=310 and X=248. Here we want to construct a 90% confidence interval.Here we have to decide which one of the given calculators we need to use for the construction of the confidence interval. Note that here n is the sample size and X is the number of individuals in the sample with a specified characteristic. We know that the population proportion is the proportion of individuals in a population with a specified characteristic. So, we use the calculator "Confidence Interval for a Population Proportion".1) Let p denotes the population proportion. If the sample size n is sufficiently large so that np^≥10 and n(1-p^)≥10, then a confidence interval for the population proportion p is (p^-E,p^+E), where p^=Xn, E=zα2×p^(1-p^)n and α=1-confidence level. Now, np^=n×Xn=X=248≥10 and n(1-p^)=n×1-Xn=n-X=310-248=62≥10The sample proportion (a point estimate of p) is p^=Xn=248310=0.8 Here the confidence level is 0.90. So, α=1-0.90=0.10 zα2=z0.102≈1.645 We use excel to find z0.102.Now, the margin of error is E=zα2×p^(1-p^)n=1.645×0.8×(1-0.8)310≈0.037 So, the 90% confidence interval for the population proportion is (p^-E,p^+E)=(0.8-0.037,0.8+0.037)=(0.763,0.837) 1. Using an open interval, the confidence interval is (0.763,0.837). 2. Using a tri-linear inequality, the confidence interval is 0.763<p<0.837. 3. Using the point estimate and margin of error, the confidence interval p=0.8±0.037.

Answered: If n=310 and X = 248, to construct a…

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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If n=310 and X = 248, to construct a 90% confidence interval, you need to use which one of the following calculator

Hypothesis Test for a Population Mean Given Data
Two Independent Proportions Comparison
One-Way ANOVA
Chi-Square Test for Independence
Chi-Square Test for Goodness of Fit
Two Dependent Sample Means Comparison Given Data
Confidence Interval for a Population Mean Given Statistics
Hypothesis Test for a Population Mean Given Statistics
Confidence Interval for a Population Mean Given Data
Two Independent Sample Means Comparison Given Statistics
Hypothesis Test for a Population Proportion
Two Independent Sample Means Comparison Given Data
Confidence Interval for a Population Proportion

Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.
Confidence interval = ---------------.

Express the same answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. -------- < p < -------------.

Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p = ------------ ± -------------