find the p value

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A study was done to look at the relationship between number of vacation days employees take each year
and the number of sick days they take each year. The results of the survey are shown below.
Vacation Days 11 15 2 9 5 12 14 3 07 10
Sick Days
0050-0 005 10 00
a. Find the correlation coefficient: r = -0.80
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: pv
H: pv + 0
The p-value is:
(Round to four 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.
%3D
There is statistically significant evidence to conclude that there is a correlation between the
number of vacation days taken and the number of sick days taken. Thus, the regression line is
useful.
OThere is statistically significant evidence to conclude that an employee who takes more
vacation days will take more sick days than an employee who takes fewer vacation days.
O There is statistically insignificant evidence to conclude that there is a correlation between the
number of vacation days taken and the number of sick days taken. Thus, the use of the
regression line is not appropriate.
O There is statistically signtficant evidence to conclude that an employee who takes more
vacation days will take fewer sick days than an employee who takes fewer vacation days.
d. - 0.64
(Round to two decimal places)
find the p value
Transcribed Image Text:A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 11 15 2 9 5 12 14 3 07 10 Sick Days 0050-0 005 10 00 a. Find the correlation coefficient: r = -0.80 Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: pv H: pv + 0 The p-value is: (Round to four 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. %3D There is statistically significant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful. OThere is statistically significant evidence to conclude that an employee who takes more vacation days will take more sick days than an employee who takes fewer vacation days. O There is statistically insignificant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the use of the regression line is not appropriate. O There is statistically signtficant evidence to conclude that an employee who takes more vacation days will take fewer sick days than an employee who takes fewer vacation days. d. - 0.64 (Round to two decimal places) find the p value
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