If the margin of error obtained from confidence level 99% is 0.12 and the statistic ˆp= 0.65, then we can be 99% certain that the population proportion p lies in the interval: please pick one of the following    (i) (0.5, 0.8) (ii) (0.65, 0.77) (iii) (0.59, 0.71) (iv) (0.53, 0.77)

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A: Given, x¯ = 5.7σ = 0.3n = 43confidence level α = 0.05 Critical value Zα2 = 1.96

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A: To find : If you are 90% sure about making the right decision, what is the alpha (α) value?

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Q: If n = 108, ¯xx¯ = 29 and σσ = 2.6, construct a 91% confidence interval. Give your answers to three…

A: Given Data: x¯=29σ=2.6n=108   z-value corresponding to 91% confidence level=1.695

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Q: The 87.19% confidence interval estimate for p was (0.2, 0.38). Find p′ and ME. pp′=  ME=

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A: a) Sample mean is best point estimate of population mean So best point estimate = 502.

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Q: f you want to be 95% confident of estimating the population proportion to within a sampling error of…

A: Given,sample proportion(p^)=0.44margin of error(E)=0.05α=1-0.95=0.05α2=0.025Z0.025=1.96  (from…