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Two Thousand Numbers Are Selected Randomly; 960 Are Even Numbers

question 42

Essay

Two thousand numbers are selected randomly; 960 are even numbers.
a.
State the hypotheses to determine whether the proportion of odd numbers is significantly different from 50%.
b.
Compute the test statistic.
c.
At the .10 level of significance using the p-value approach, test the hypotheses.

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Definitions:

Probability Of Success

The likelihood of a given success event occurring, often denoted in scenarios like binomial outcomes where success is one outcome.

Trials

In statistics, trials refer to the number of attempts or individual experiments conducted during a study.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states across a series of trials or experiments.

Hypergeometric Distribution

A discrete probability distribution that describes the probability of a given number of successes in draws from a finite population without replacement.

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