I need help with parts a, b and d ### Study on the Relationship Between Movie Watching and Book Reading#### Data OverviewA study was conducted to explore the relationship between the number of movies people watch at the theater each year and the number of books they read each year. The survey results are shown below:| Movies | 7 | 0 | 9 | 0 | 8 | 0 | 8 | 0 | 2 ||--------|---|---|---|---|---|---|---|---|---|| Books | 6 | 9 | 9 | 5 | 15 | 11 | 7 | 13 | 14 |#### Hypothesis Testinga. **Find the Correlation Coefficient (r):** \[ r = \underline{\hspace{3cm}} \quad \text{(Round to 2 decimal places)} \]b. **The Null and Alternative Hypotheses for Correlation are:** \[ H_0: r = 0 \quad \text{(Null Hypothesis)} \] \[ H_1: r \neq 0 \quad \text{(Alternative Hypothesis)} \] **The p-value is:** \underline{\hspace{2cm}} \quad \text{(Round to 4 decimal places)}c. **Conclusion of the Hypothesis Test:** Using a level of significance of $\alpha = 0.05$, state the conclusion of the hypothesis test in the context of the study. Choose one: - $\square$ There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies. - $\square$ There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies. - $\square$ There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. - $\square$ There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful.d. **Coefficient of Determination ($r^2$):

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A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 7. 8. Books 9. 15 11 13 14

A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 7. 8. Books 9. 15 11 13 14

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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I need help with parts a, b and d

### Study on the Relationship Between Movie Watching and Book Reading

#### Data Overview
A study was conducted to explore the relationship between the number of movies people watch at the theater each year and the number of books they read each year. The survey results are shown below:

| Movies | 7 | 0 | 9 | 0 | 8 | 0 | 8 | 0 | 2 |
|--------|---|---|---|---|---|---|---|---|---|
| Books | 6 | 9 | 9 | 5 | 15 | 11 | 7 | 13 | 14 |

#### Hypothesis Testing

a. **Find the Correlation Coefficient (r):**

\[
r = \underline{\hspace{3cm}} \quad \text{(Round to 2 decimal places)}
\]

b. **The Null and Alternative Hypotheses for Correlation are:**

\[
H_0: r = 0 \quad \text{(Null Hypothesis)}
\]

\[
H_1: r \neq 0 \quad \text{(Alternative Hypothesis)}
\]

**The p-value is:** \underline{\hspace{2cm}} \quad \text{(Round to 4 decimal places)}

c. **Conclusion of the Hypothesis Test:**

Using a level of significance of $\alpha = 0.05$, state the conclusion of the hypothesis test in the context of the study. Choose one:

- $\square$ There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies.

- $\square$ There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies.

- $\square$ There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate.

- $\square$ There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful.

d. **Coefficient of Determination ($r^2$):

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