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-BARSIC- [3]
2 years ago
14

The p-value for a one-sided test of the population proportion is 0.0513. Which of

Mathematics
1 answer:
uysha [10]2 years ago
3 0

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{X} is the sample mean.
  • \mu is the tested value.
  • s is the standard deviation.
  • n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease,  and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

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