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. HYPOTHESIS: PROPORTION X = x X = drink_(soda=1) SAMPLE PROPORTION OF X = .419162 SAMPLE SIZE OF X = 167 HYPOTHESIZED VALUE (x) = .5 SAMPLE PROPORTION X - x =-.080838 Z =-2.08932 P-VALUE = .0366 P-VALUE/2 = .0183 SD. ERROR = .0386912 State the proper conclusion if the test was conducted at α = .10.
A) There is sufficient evidence to indicate the true proportion of college students who prefer the brand of soda differs from .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 is less than .50.
D) There is insufficient evidence to indicate the true proportion of college students who prefer the brand of soda differs from .50.

Question

Quizplus · Accepted Answer

The p-value of 0.0366 is less than the significance level of 0.10, indicating sufficient evidence to reject the null hypothesis and conclude that the true proportion differs from 0.50.

A Test of Hypothesis Was Performed to Determine If the True