Statistics

Statistics

Examples of Hypothesis Testing

Example 1: A gardener’s flowers

• A few flowers in this vase are white • Most of the flowers in the flower bed are white

Therefore, there is a probability that the flowers in the vase came from another flower bed.

The flowers in the flower bed are the population. The flowers in the vase represent the sample. The null hypothesis is that the observed sample originated from the observed population. We reject the null hypothesis because of the differences in appearance of the flowers.

Chapter 8 Review

Below is an outline of the major points covered in Chapter 8. You will need to clearly understand the concepts, terms and calculation presented in Chapter 8. You may need to refer back to previous chapters.

Outline

Chapter 8: Hypothesis Testing

Basic Terms

Hypothesis and P-value

Hypothesis Terms

Define: •

Null hypothesis

Critical value

• • • •

Alternative hypothesis Region of acceptance

Power

• • •

Significance level

Critical region

Statistical significance

Hypothesis Tests

Know the following tests: • One-sampled • Two-sampled • Paired

Z-tests T-tests F-tests

• • •

Errors

Know the hypothesis errors • Type I • Type II

Application

• Understand how to apply statistical hypothesis testing

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