12) In constructing a confidence interval for o or o², a table is used to find the critical values12)_and Xfor values of n<101. For larger values of n, xand X2.can beapproximated by using the following formula:+V2k -1 where k is thenumber of degrees of freedom and z2 is the critical z-score. Construct the 90% confidenceinterval for ơ using the following sample data: a sample of size n= 232 yields a meanweight of 154 lb and a standard deviation of 25.5 lb. Round the confidence interval limits tothe nearest hundredth.A) 23.66 lb < o<27.58 lbB) 23.39 lb

Given Data n = 232 σ = 25.5 µ = 154 D.O.F = 232 – 1 = 231 standard Deviation = 6.4 z-critical =…

Answered: 12) In constructing a confidence…

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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4. Assume that 66 % of single women and 81.9 % of single men own cars. Also assumethat these estimates are based on random samples of 1640 single women and 1800 singlemen. Develop a 99 % confidence interval for the difference between the two populationproportions.
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1.3A random sample of 200male shoppers in Pavilion shopping mall were interviewed to identify their reasons for coming to this particular mall. The factor of ‘I prefer Knox brand in the mall’was the most important reason for 120 of those interviewed. Estimate the likely percentage of all male shoppers who frequent this shopping mall primarily because of the Knox brand in the mall, using 97.5% confidence limits Show the null and alternative hypotheses for the test and draw the appropriate conclusion. Compute the p-value.
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The test statistic ofz=0.61 is obtained when testing the claim that p>0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01,should we reject H0 or should we fail to reject H0?
Suppose a sample of 200 local vendors is selected as part of a survey conducted by the Ministry of Trade and it is found that 145 of the local vendors make an average income in excess of N$ 7 600 per month. a) Suppose that a 98% confidence interval estimate of the proportion of local vendors who make an average income more than N$ 7 600 per month is required. How large a sample should be taken if the desired margin of error is 8%? b) Suppose it has been established from past studies that not more than 65% of local vendors make an average income in excess of N$ 7 600 per month. Use the critical value approach and conduct a hypothesis test at a 5% level of significance to determine whether the proportion of local vendors who make an average income in excess of N$ 7 600 per month differs from the historical level.
We have created a 97% confidence interval for μ with the result [57, 97]. If we test H0: μ=98 versus H1: μ≠ 98 at a level of significance of 0.03 then our conclusion would be: Group of answer choices Reject the null hypothesis since 98 falls outside the interval. Do not reject the null hypothesis since 98 falls in the interval. Do not reject the null hypothesis since 98 is greater than the interval limits. Reject the null hypothesis since 98 falls in the interval.
We have the confidence interval: -0.08 < p < 0.12 and Ho: p = 0.04 In the NATDRC test, we will Reject Ho.
Suppose the Japanese Health Authority conducts a country wide survey to assess if men or women have the same likelihood of getting infected with COVID-19. A random sample of 540 men and 400 women were selected, and 50% of these men and 45% of these women were infected with COVID-19, respectively. What is the 91.98% confidence interval for the true difference in proportion of men and women who get infected with COVID-19.

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