Fill in the blank. A A dis is used to test the hypothesis that an observed frequency distribution fits (or c is used to test the hypothesis that an observed frequency distributic goodness-of-fit test Student t-test F test one-way analysis of variance

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**Fill in the Blank:**

A _______ is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.

---

A ![dropdown](https://user-images.githubusercontent.com/70256670/198193443-20226c08-905d-4b98-af85-3f13fd16a618.png) is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.
Transcribed Image Text:**Fill in the Blank:** A _______ is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution. --- A ![dropdown](https://user-images.githubusercontent.com/70256670/198193443-20226c08-905d-4b98-af85-3f13fd16a618.png) is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.
### Hypothesis Testing in Statistics

**Question:**

Fill in the blank:

A __________ is used to test the hypothesis that an observed frequency distribution fits (or conforms to) an expected frequency distribution.

**Multiple Choice Options:**
1. goodness-of-fit test
2. Student t-test
3. F test
4. one-way analysis of variance

**Explanation:**

The image shows a fill-in-the-blank question followed by multiple-choice options to select from. The context of the question is related to hypothesis testing in statistics, specifically concerning the comparison of observed and expected frequency distributions.

**Answer Analysis:**

- **Goodness-of-fit test:** This statistical test is used to determine how well an observed frequency distribution matches the expected frequency distribution.

- **Student t-test:** Used to compare the means of two groups.

- **F test:** Used to compare two population variances or to analyze the variances in the setting of ANOVA (Analysis of Variance).

- **One-way analysis of variance:** Used to determine whether there are any statistically significant differences between the means of three or more independent groups.

The correct answer to fill in the blank is "goodness-of-fit test."

**Visual Aid Explanation:**

The image includes a dropdown menu with the aforementioned options. The dropdown is active, and the pointer is seen hovering over it, indicating the viewer’s interaction to choose the correct answer.

### Summary

To test if an observed frequency distribution fits an expected frequency distribution, one uses a **goodness-of-fit test**. This type of test evaluates the null hypothesis that the frequency distribution of certain events observed in a sample is consistent with a particular theoretical distribution.
Transcribed Image Text:### Hypothesis Testing in Statistics **Question:** Fill in the blank: A __________ is used to test the hypothesis that an observed frequency distribution fits (or conforms to) an expected frequency distribution. **Multiple Choice Options:** 1. goodness-of-fit test 2. Student t-test 3. F test 4. one-way analysis of variance **Explanation:** The image shows a fill-in-the-blank question followed by multiple-choice options to select from. The context of the question is related to hypothesis testing in statistics, specifically concerning the comparison of observed and expected frequency distributions. **Answer Analysis:** - **Goodness-of-fit test:** This statistical test is used to determine how well an observed frequency distribution matches the expected frequency distribution. - **Student t-test:** Used to compare the means of two groups. - **F test:** Used to compare two population variances or to analyze the variances in the setting of ANOVA (Analysis of Variance). - **One-way analysis of variance:** Used to determine whether there are any statistically significant differences between the means of three or more independent groups. The correct answer to fill in the blank is "goodness-of-fit test." **Visual Aid Explanation:** The image includes a dropdown menu with the aforementioned options. The dropdown is active, and the pointer is seen hovering over it, indicating the viewer’s interaction to choose the correct answer. ### Summary To test if an observed frequency distribution fits an expected frequency distribution, one uses a **goodness-of-fit test**. This type of test evaluates the null hypothesis that the frequency distribution of certain events observed in a sample is consistent with a particular theoretical distribution.
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