A Test of Hypothesis Was Performed to Determine If the True

question 69

Multiple Choice

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.

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