Question

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that​ ________.

Answer 1

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that the null hypothesis is true.

Explanation:

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that the null hypothesis is true.

The p-value is the probability that, if the null hypothesis were true,sampling variation would yield and estimate that is further away from the hypothesised value than our data estimate. The p-value shows us how possible it is to get a result like this if the null hypothesis is true.

Assuming we have a null hypothesis and an alternative hypothesis computed as follows.

`H_o : \mu = 5 \\ \\ H_1 : \mu \\eq 0.5`

If P-value is less than or equal to
`\mu` , we will reject the null hypothesis.