### Marvel Movies Hypothesis TestingKylie is a huge fan of Marvel movies. She finds an online poll that asks, “What is the best movie of the Marvel Cinematic Universe?” and saves the data. For a class project, she wants to determine if the distribution of her classmates’ favorite Marvel movies is different from the one published in the online poll. She surveys the 145 students in her statistics class. The table below contains the percentages reported by the online poll and the observed counts from her classmates.Report all calculated answers to 4 decimal places.#### Distribution Data| Movie | Poll Percentage | Observed Count ||-----------------------------------|-----------------|----------------|| Captain America: The Winter Soldier | 18.1% | 22 || Guardians of the Galaxy | 14% | 17 || The Avengers | 13.9% | 17 || Captain America: Civil War | 11.4% | 16 || Iron Man | 7.5% | 14 || Black Panther | 5.8% | 12 || Other Marvel movie | 29.3% | 47 |Kylie wants to conduct a hypothesis test to test the hypotheses:\[ H_0 : \text{The distribution of my classmates is the same as the online poll} \]\[ H_a : \text{The distribution of my classmates is not the same as the online poll} \] ### Hypothesis Testing Conditions2. **What conditions must be met for the hypothesis test to be valid?** - [ ] A. Population data must be nearly normal or the sample size must be at least 30. - [ ] B. There must be at least 3 levels of the categorical variable. - [x] C. There must be at least 10 'success' and 10 'failure' observations. - [x] D. Each observation must be independent of all other observations. - [x] E. There must be an expected count of at least 5 for each level of the categorical variable. ### Null Hypothesis Expected Count3. **Under the null hypothesis, what is the expected count for the movie The Avengers?** - Expected value = [____]### Contribution to Test Statistic4. **When calculating the test statistic, what is the contribution from the movie The Avengers?** - Contribution = [____]### Degrees of Freedom5. **What is the degrees of freedom for the test statistic?** - $ df = $ [____]

Introduction: It is of interest to test whether the distribution of favorite movies of the…

2. What conditions must be met for the hypothesis test to be valid? )A. Population data must be nearly normal or the sample size must be at least 30. B. There must be at least 3 levels of the categorical variable. C. There must be at least 10 'success' and 10 'failure' observations. D. Each observation must be independent of all other observations. VE. There must be an expected count of at least 5 for each level of the categorical variable. 3. Under the null hypothesis, what is the expected count for the movie The Avengers? expected value = 4. When calculating the test statistic, what is the contribution from the movie The Avengers? contribution = 5. What is the degrees of freedom for the test statistic? df =

2. What conditions must be met for the hypothesis test to be valid? )A. Population data must be nearly normal or the sample size must be at least 30. B. There must be at least 3 levels of the categorical variable. C. There must be at least 10 'success' and 10 'failure' observations. D. Each observation must be independent of all other observations. VE. There must be an expected count of at least 5 for each level of the categorical variable. 3. Under the null hypothesis, what is the expected count for the movie The Avengers? expected value = 4. When calculating the test statistic, what is the contribution from the movie The Avengers? contribution = 5. What is the degrees of freedom for the test statistic? df =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

### Marvel Movies Hypothesis Testing

Kylie is a huge fan of Marvel movies. She finds an online poll that asks, “What is the best movie of the Marvel Cinematic Universe?” and saves the data. For a class project, she wants to determine if the distribution of her classmates’ favorite Marvel movies is different from the one published in the online poll. She surveys the 145 students in her statistics class. The table below contains the percentages reported by the online poll and the observed counts from her classmates.

Report all calculated answers to 4 decimal places.

#### Distribution Data

| Movie | Poll Percentage | Observed Count |
|-----------------------------------|-----------------|----------------|
| Captain America: The Winter Soldier | 18.1% | 22 |
| Guardians of the Galaxy | 14% | 17 |
| The Avengers | 13.9% | 17 |
| Captain America: Civil War | 11.4% | 16 |
| Iron Man | 7.5% | 14 |
| Black Panther | 5.8% | 12 |
| Other Marvel movie | 29.3% | 47 |

Kylie wants to conduct a hypothesis test to test the hypotheses:

\[ H_0 : \text{The distribution of my classmates is the same as the online poll} \]

\[ H_a : \text{The distribution of my classmates is not the same as the online poll} \]

### Hypothesis Testing Conditions

2. **What conditions must be met for the hypothesis test to be valid?**
- [ ] A. Population data must be nearly normal or the sample size must be at least 30.
- [ ] B. There must be at least 3 levels of the categorical variable.
- [x] C. There must be at least 10 'success' and 10 'failure' observations.
- [x] D. Each observation must be independent of all other observations.
- [x] E. There must be an expected count of at least 5 for each level of the categorical variable.

### Null Hypothesis Expected Count

3. **Under the null hypothesis, what is the expected count for the movie The Avengers?**
- Expected value = [____]

### Contribution to Test Statistic

4. **When calculating the test statistic, what is the contribution from the movie The Avengers?**
- Contribution = [____]

### Degrees of Freedom

5. **What is the degrees of freedom for the test statistic?**
- $ df = $ [____]

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