(2) With p unknown and n the number of random people polled, let be the fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that is within 0.01 of the true value of p? Your answer to this problem should be an integer

1. What is the central limit theorem?

2. What is a consistent estimator?

3. What is a type II error?

4. What is the purpose to calculate the adjusted coefficient of determination?

5. What is the main difference between linear regression and logistic regression?

6. What is the purpose to conduct the Kolmogorov-Smirnov test?

(1) Assume p = 0.5. Use the central limit theorem to estimate the probability that in a poll of 25 people, at least 14 people support the referendum. Your answer to this problem should be a decimal (up to thousandths place).

2. Someone claims to have found a long-lost work by Jane Austen. She asks you to decide whetheror not the book was actually written by Austen. You buy a copy of Sense and Sensibility and count thefrequencies of certain common words on some randomly selected pages. You do the same thing for the‘long-lost work’. You get the following table of counts.Using this data, set up and evaluate a significance test of the claim that the long-lost book is by Jane Austen. Use a significance level of 0.1.

(1) Find the least square estimator for c and d in the Model 1.

(2) Find the least square estimator for c and d in the Model 2.

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