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. Movies2703497333Books40136100272 Find the correlation coefficient: r=r= Round to 2 decimal places.The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: Round to 4 decimal places.Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.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.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.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.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.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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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	2	7	0	3	4	9	7	3	3	3
Books	4	0	13	6	1	0	0	2	7	2

Find the correlation coefficient: r=r= Round to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:H0:      == 0
H1:H1:       ≠≠ 0
The p-value is:      Round to 4 decimal places.
Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.
- 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.
- 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.
- 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.
- 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.