Respuesta :
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:
[tex]t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
- [tex]\overline{X}[/tex] is the sample mean.
- [tex]\mu[/tex] 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 https://brainly.com/question/26454209
