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(3.3 Question 10: A light bulb factory claims that the proportion of defective lamps in his products is 3%. We withdraw a simple sample of

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(3.3 Question 10: A light bulb factory claims that the proportion of defective lamps in his products is 3%. We withdraw a simple sample of the total product with size n = 144, and we found 5 defective lamps. Then: a) Determine 98% confidence interval for the proportion of the defective bulbs. .. ... . b) Using the significance level o = 0.01 to testing the null hypothesis Ho : p = 0.03 versus the alternative hypothesis H, : p = 0.03 .. c) If the point estimation p is used to estimate p, what is the margin error , (for 98% confidence level) ? d) If the margin error , = 0.015 (for 99% confidence level), what is the sample size (n) to be withdrawn

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