Question 5 a,b QUESTION 5In a prior sample of corn, farmer Carl finds that 16% of the sample has worms but the margin of error for his populationestimate was too large. He wants an estimate that is in error by no more than 1.5 percentage points at the 90% confidencelevel. Enter your answers as whole numbers.(a) What is the minimum sample size required to obtain this type of accuracy? Use his sample proportion in your calculation.The minimum sample size isears of corn.(b) What is the minimum sample size required to obtain this type of accuracy when you assume no prior knowledge of thesample proportion?The minimum sample size isears of corn.

Givensample proportion(p^)=16%=0.16Margin of error(E)=1.5%=0.015Confidence level=90%

Answered: QUESTION 5 In a prior sample of corn,…

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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QUESTION 1 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 $ 7 600 per month. a) Suppose that a 97% confidence interval estimate of the proportion of local vendors who make an average income less than N$ 7 600 per month is required. How large a sample should be taken if the desired margin of error is 5%? b) Suppose it has been established from past studies that 75% of local vendors make an average income in excess of N$ 7 600 per month. Use the p-value approach and conduct a hypothesis test at a 1% 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?
Question 7) It was observed that 240 of the 400 voters randomly selected from a region supported the A candidate. According to this;a) Find and interpret the 95% confidence limits for the proportion of those who support candidate A in this region.b) When other conditions are fixed, at least how many units of sample should be taken so that the prediction error is less than 2%.
Question 2 - (Please answer both a and b) A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent.
QUESTION 14 A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Calculate the confidence interval for the difference of the two proportions, defined as: 'proportion (Instructor I) - proportion (Instructor II)' (0.329 , 0.582) (- 0.013 , 0.002) (- 0.355 , 0.038) (- 0.585 , - 0.108)
Question four A poll was conducted in a very small community in country X to see if residents are for or against a new policy that requires them to wear a mask. A total of 500 persons were surveyed. Of the 500 surveyed 200 are against wearing a mask. Compute a 90% confidence interval for the true percent of residents who are against the new policy and interpret the confidence interval.
Question 1 In a sample of 400 shops it was discovered that 136 of them sold carpets at below the list prices, which had been recommended by manufacturers. (a) Estimate the percentage of all carpet selling shops below list price. (b) Calculate the 95% confidence limits for this estimate.
QUESTION 7 The president’s administration wants to know whether the voters support their foreign aid program. A random sample of 100 voters showed 52 who favored president’s foreign aid program. What is the minimum sample size needed to achieve 3% (i.e. ± 0.03) margin of error for the 95% confidence interval? 935 1,066 1,159 2,301
QUESTION 16 In 2005, Health Canada claimed that 16.6% of Canadian adults are obese. A researcher wanted to check whether this percentage has increased in 2009. He randomly selected 160 Canadian adults and found 30 of them are obese. He wants to develop a 92% confidence interval for the obese percentage in 2009. Write down the critical value
Question 2 Grace Floral Shop claims that their average daily earnings is $497. An auditor wants to determine whether this claim is true. The auditor randomly selected a sample of 100 days and found that the sample mean earnings was $495 with a sample standard deviation of 9.75. a) Calculate the 97% confidence interval for the population mean daily earning. Assist the auditor in conducting a hypothesis test, at the 3% level of significance, to determine whether the claim about their average daily earnings was overstated. b) State the null and the alternative hypothesis for this test. c) Using the p-value approach, state the decision rule for this test. d) Calculate the value of the test statistic for this test. e) Calculate the p-value for this test? f) State the conclusion of this test. Give reason for your answer.

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