7 A student wants to investigate whether the number of times a book has been checked out of the library in the past year is related to the number of pages in the book. Her hypothesis is that the more a book is checked out, the more pages it has. She randomly sampled 13 books and is testing her hypothesis at a 0.10 level of significance.**Data Table:**| Number of times checked out | Number of pages ||-----------------------------|-----------------|| 30 | 272 || 4 | 269 || 43 | 379 || 28 | 341 || 48 | 376 || 4 | 231 || 46 | 405 || 11 | 244 || 31 | 259 || 4 | 220 || 25 | 418 || 31 | 341 || 3 | 337 |**Analysis:**- **Correlation Coefficient (r):** The correlation coefficient measures the strength and direction of a linear relationship between two variables.- **Equation \( y = a + bx \):** This linear equation represents the best fit line through the data points. \( a \) is the y-intercept and \( b \) is the slope.- **Hypotheses:** \[ H_0: \rho = 0 \quad \text{(no linear relationship)} \] \[ H_A: \rho \neq 0 \quad \text{(linear relationship, claim)} \]- **Level of Significance (α):** The critical values at α = 0.10 are -1.796 and 1.796.- **Test Value:** This is the calculated value from the data to test the hypothesis.- **p-value:** The p-value indicates the probability of obtaining test results at least as extreme as the observed results, under the null hypothesis.**Conclusion:**Based on the test value and the p-value, you decide to either reject or not reject \( H_0 \):- \"Reject \( H_0 \)\" or \"Do not reject \( H_0 \)\"**Final Conclusion Sentence Options:**- There is enough evidence to reject the claim that

Name: 7 A student wants to investigate whether the number of times a book ha
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 7 A student wants to investigate whether the number of times a book has been checked out of the library in the past year is related to the number of pages in the book. Her hypothesis is that the more a book is checked out, the more pages it has. She