Question

What is the meaning of testing a hypothesis at an alpha level of 0.05?

Select one:

a. There is 95% confidence that the observed results are due to sampling error or because of sample randomness.

b. The chances of not rejecting the null hypothesis when it is false is more than 5%.

c. There is a 95% chance that the observed result from the sample analysis will also occur in the population.

d. The probability of committing a Type II error is about 5%.

e. There is 95% chance of a gamma error

Answer 1

When testing a hypothesis at an alpha level of 0.05, there is a 95% confidence that the observed results are due to sampling error or because of sample randomness. The chances of not rejecting the null hypothesis when it is false is more than 5%.

Step-by-step explanation:

The alpha level of 0.05 in hypothesis testing refers to the significance level, which is the probability of rejecting the null hypothesis when it is true. When testing a hypothesis at an alpha level of 0.05:

1. The chances of not rejecting the null hypothesis when it is false is more than 5%. This means that the probability of committing a Type II error, which is failing to reject the null hypothesis when it is actually false, is less than 5%.
2. The meaning of testing a hypothesis at an alpha level of 0.05 is that there is a 95% confidence that the observed results are due to sampling error or because of sample randomness. In other words, there is a 5% chance that the observed result is outside the range of random variation.