When the null hypothesis is rejected Which of the following is true?

If there is less than a 5\% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant .

When the p value is used for hypothesis testing the null hypothesis is rejected if?

Small p-values provide evidence against the null hypothesis. The smaller (closer to 0) the p-value, the stronger is the evidence against the null hypothesis. If the p-value is less than or equal to the specified significance level α, the null hypothesis is rejected; otherwise, the null hypothesis is not rejected.

What is the distribution of the test statistic if the null hypothesis is true?

In statistical hypothesis testing, the null distribution is the probability distribution of the test statistic when the null hypothesis is true. For example, in an F-test, the null distribution is an F-distribution. Null distribution is a tool scientists often use when conducting experiments.

How do you find binomial distribution?

The binomial distribution is calculated by multiplying the probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials.

When the null hypothesis is not rejected then we can assume that the null hypothesis is certainly true true or false?

When the null hypothesis is not rejected, then we can assume that the null hypothesis is certainly true. In order to calculate the p-value associated with a test, it is necessary to know the level of significance. In the past, the average age of employees of a large corporation has been 40 years old.

Which of the following is not true about the standard error of a statistic?

The standard error measures, roughly, the average difference between the statistic and the population parameter. The standard error is the estimated standard deviation of the sampling distribution for the statistic. The standard error can never be a negative number.

What does p 0.05 mean in psychology?

A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5\% probability the null is correct (and the results are random). This means we retain the null hypothesis and reject the alternative hypothesis.

When n 30 What is the appropriate distribution?

Main Point to Remember: You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct.