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 5 4 Books 9 7 5 8 4 11 8 6 7 5 6 11 4 9 6 8 9 6 3 4 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. ²- = Round to 2 decimal places. Round to 4 decimal places. c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O 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. O 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. O 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. O 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. (Round to two decimal places)
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 5 4 Books 9 7 5 8 4 11 8 6 7 5 6 11 4 9 6 8 9 6 3 4 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. ²- = Round to 2 decimal places. Round to 4 decimal places. c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O 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. O 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. O 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. O 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. (Round to two decimal places)
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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Transcribed Image Text: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
Books
5 4 5
9 7
8
4 8 6
11
7 6
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho: ?v = 0
H₁: 20
The p-value is:
5 4 6 8 9
11
9
6
3 4
d. 7²
Round to 2 decimal places.
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
Round to 4 decimal places.
O 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.
=
O 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.
O 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.
O 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.
(Round to two decimal places)
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