I can not get the true answers, so I need the step by step solutions for these three questions. My problems and necessary information are in the attached file (one question at each page).
The answer is attached as a file .The F - value is given in excel sheet
Chebychevs Theorem can be as
P[ | (x - µ) | / σ/√n < c ] > 1 - 1/c^2
P[ | (x - µ) | < σc/√n ] > 1 - 1 / c^2
P [ .64 < Ө < .74 ] = P [ .70 - .06 < Ө < .70 + .06 ]
= P [ | Ө - .70 | < .06 ]
Comparing with Chebychevs Theorem .06 = σ * c /√n
.06 = √(.7*.3/84) * ...
To find an unbiased estimator of proportion and difference in proportion. Using central limit theorem and Chebychev's theorem to find the probability of proportion