A Test of Hypothesis Was Performed to Determine If the True

question 77

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. 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.

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