Consider making an inference about p1 - p2, where there

Chapter 8, Problem 43E

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QUESTION:

Problem 43E

Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 binomial trials.

a. Describe the distributions of x1 and x2.

b. Explain why the Central Limit Theorem is important in finding an approximate distribution for

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QUESTION:

Problem 43E

Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 binomial trials.

a. Describe the distributions of x1 and x2.

b. Explain why the Central Limit Theorem is important in finding an approximate distribution for

ANSWER:

Step 1 of 2

a)

The distribution of    and    are binomial distribution. Here for  fixed trials, we have  successes and remaining  are failures.

Similarly for  fixed trials there exists x2 success and remaining  are failures.

For those which have only two possible outcomes follows “Binomial’ distribution.  

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