The table below shows the age and favorite type of music of 668 randomly selected people.The data are to be used to compare the distribution of age for each music type.Use a 5% level of significance. $$\begin{array} { c | c c c }
& \text { Rock } & \text { Pop } & \text { Classical } \
\hline 15 - 25 & 50 & 85 & 73 \
25 - 35 & 68 & 91 & 60 \
35 - 45 & 90 & 74 & 77
\end{array}$$ $x ^ { 2 }$ = 12.954; P-value = 0.0115
A)Reject the null hypothesis and conclude that the age distribution is not the same for each type of music.
B)Do not reject the null hypothesis and conclude that the age distribution is the same for each type of music.
C)Do not reject the null hypothesis and conclude that the age distribution is not the same for each type of music.
D)Reject the null hypothesis and conclude that the age distribution is uniform for each type of music.
E)Reject the null hypothesis and conclude that the age distribution is the same for each type of music.

Question

The table below shows the age and favorite type of music of 668 randomly selected people.The data are to be used to compare the distribution of age for each music type.Use a 5% level of significance. $$\begin{array} { c | c c c } 
& \text { Rock } & \text { Pop } & \text { Classical } \
\hline 15 - 25 & 50 & 85 & 73 \
25 - 35 & 68 & 91 & 60 \
35 - 45 & 90 & 74 & 77
\end{array}$$ $x ^ { 2 }$ = 12.954; P-value = 0.0115
A)Reject the null hypothesis and conclude that the age distribution is not the same for each type of music.
B)Do not reject the null hypothesis and conclude that the age distribution is the same for each type of music.
C)Do not reject the null hypothesis and conclude that the age distribution is not the same for each type of music.
D)Reject the null hypothesis and conclude that the age distribution is uniform for each type of music.
E)Reject the null hypothesis and conclude that the age distribution is the same for each type of music.

Quizplus · Accepted Answer

With a small P-value of 0.0115, which is less than the significance level of 0.05, we reject the null hypothesis and conclude that the age distribution is not the same for each type of music.

The Table Below Shows the Age and Favorite Type of Music