Question

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

Answer 1

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.

How to find the p-value of a test?

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 p-value of z.

• For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.

• 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 2 multiplied by 1 subtracted by the p-value of z.

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

What is the equation for the test statistic?

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