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 6 8 4 10 | 7 6 7 Books 4 5 8 | -0 | 1 | 7 | 6 10 8 | 7 | 9 3 3 7 4 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? O = 0 H1: ? O + 0 The p-value is: 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. 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 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. ) 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. d. r? (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 6 8 4 10 | 7 6 7 Books 4 5 8 | -0 | 1 | 7 | 6 10 8 | 7 | 9 3 3 7 4 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? O = 0 H1: ? O + 0 The p-value is: 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. 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 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. ) 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. d. r? (Round to two decimal places)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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please solve: A, B, and D
ch 12
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.
Μοvies
6.
8.
4
10
7
6.
7
3
3
7
4
Вooks
4
8
-0
1
7
6.
10
8
7
9.
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Но:
= 0
H1:
The p-value is:
Round to 4 decimal places.
c. Use a level of significance of a =
the study.
0.05 to state the conclusion of the hypothesis test in the context of
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 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.
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.
d. p2
(Round to two decimal places)
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