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BaLLatris [955]
3 years ago
11

In 1993, the General Social Survey included a question that asked its participants if they felt that nuclear power plants were e

xtremely/very dangerous to the environment. Out of the 1419 surveyed, 630 said yes. What is the value of the test statistic for this problem?
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

The test statistic is Z = \frac{0.444-p_{0}}{\sqrt{p_{0}(1-p_{0})/1419}} where p_{0} is a fixed number.

Step-by-step explanation:

If we suppose that p is true proportion of people in the entire population who thinks that nuclear power plants were extremely/very dangerous to the enviroment, and we want to test a hypothesis about p, for instance H_{0}: p = p_{0} vs H_{1}: p > p_{0}, then the test statistic for this problem is given by Z = \frac{\hat{p}-p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}. We know that \hat{p} = 630/1419 = 0.444 and n = 1419, so Z = \frac{0.444-p_{0}}{\sqrt{p_{0}(1-p_{0})/1419}}.

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