Exhibit 11-9
The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below.
$$\begin{array} { l c c }
&&\text { Teenagers Favoring }\
\text { Music Type } & \text { Teenagers Surveyed } & \text { This Type } \
\text { Pop } & 800 &384 \
\text { Rap } & 900 & 450\
\end{array}$$
-We are interested in testing the following hypotheses. H0: P1- P2 ? 0
Ha: P1- P2 0
The test statistic Z is computed to be 0.58. The p-value for this test is
A) 0.7190
B) 0.2810
C) 0.5620
D) 0.5800

Question

Exhibit 11-9
The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below.
 $$\begin{array} { l c c } 
&&\text { Teenagers Favoring }\
\text { Music Type } & \text { Teenagers Surveyed } & \text { This Type } \
\text { Pop } & 800 &384 \
\text { Rap } & 900 & 450\
\end{array}$$
-We are interested in testing the following hypotheses. H0: P1- P2 ? 0
Ha: P1- P2 > 0
The test statistic Z is computed to be 0.58. The p-value for this test is
A) 0.7190
B) 0.2810
C) 0.5620
D) 0.5800

Quizplus · Accepted Answer

The p-value is the probability of observing a test statistic as extreme as or more extreme than the one computed, assuming that the null hypothesis is true. In this case, the test statistic is Z = 0.58, and the p-value is the probability of observing a Z-score as extreme as or more extreme than 0.58, assuming that the null hypothesis is true. This probability is 0.2810, which is choice B.

Exhibit 11-9 the Results of a Recent Poll on the Preference

Exhibit 11-9
the Results of a Recent Poll on the Preference