A Test of Hypothesis Was Performed to Determine If the True

A test of hypothesis was performed to determine if the true proportion of college students who preferred a particular brand of soda differs from .50. The ASP printout is supplied below. Note: All data refer to the proportion of students who preferred the brand of soda.

$\text { HYPOTHESIS: PROPORTION X }=\mathrm{x}$

$X=\operatorname{drink}-(\operatorname{soda}=1)$

$\begin{array}{llcc} \text { SAMPLE PROPORTION OF X } &=.407186\\ \text { SAMPLE SIZE OF X } &=167 \\ \text { HYPOTHESIZED VALUE (x) } &=.5 \\\end{array}$



$\text { SAMPLEPROPORTION } x-x=-.092814$
$\begin{aligned}\mathrm{Z} & =-2.39884 \\\text { P-VALUE } & =.0164 \\\text { P-VALUE } / 2 & =.0082 \\\text { SD. } \text { ERROR } & =.0386912\end{aligned}$
State the proper conclusion if the test was conducted at $$\alpha = , 10$$

A) There is insufficient evidence to indicate the true proportion of college students who prefer the brand of soda is less than .50.
B) There is sufficient evidence to indicate the true proportion of college students who prefer the brand of soda is less than .50.
C) There is insufficient evidence to indicate the true proportion of college students who prefer the brand of soda differs from .50.
D) There is sufficient evidence to indicate the true proportion of college students who prefer the brand of soda differs from .50.