# What type of error is made when a false null hypothesis is not rejected?

## What type of error is made when a false null hypothesis is not rejected?

Type II error is the error made when the null hypothesis is not rejected when in fact the alternative hypothesis is true. The probability of rejecting false null hypothesis.

## What is the outcome when you reject the null hypothesis when it is false?

The decision is to reject H0 when H0 is false (correct decision whose probability is called the Power of the Test)….Learning Outcomes.

ACTION | H 0 IS ACTUALLY | … |
---|---|---|

True | False | |

Do not reject H 0 | Correct Outcome | Type II error |

Reject H 0 | Type I Error | Correct Outcome |

**How do you know if you reject or fail to reject?**

Suppose that you do a hypothesis test. Remember that the decision to reject the null hypothesis (H 0) or fail to reject it can be based on the p-value and your chosen significance level (also called α). If the p-value is less than or equal to α, you reject H 0; if it is greater than α, you fail to reject H 0.

**What will be your conclusion if the null hypothesis Ho is rejected?**

Because we fail to reject the null hypothesis, we conclude that there is not sufficient evidence to support a conclusion that the population mean is greater than 166.3 lb, as in the National Transportation and Safety Board’s recommendation.

### What does reject the null hypothesis mean?

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 .

### What causes a Type 1 error?

What causes type 1 errors? Type 1 errors can result from two sources: random chance and improper research techniques. Random chance: no random sample, whether it’s a pre-election poll or an A/B test, can ever perfectly represent the population it intends to describe.