A certain television station has been providing live coverage of a particularly

Question

A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's program director wishes to know whether more than three quarters of the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest? Which one of the following is the correct answer.

H0: p = 0.75 versus Ha: p < 0.85

H0: p = 0.75 versus Ha: p > 0.75   

H0: p = 0.75 versus Ha: p < 0.75

H0: p = 0.75 versus Ha: p > 0.65

H0: p = 0.85 versus Ha: p > 0.75

Explanation / Answer

The claim is : whether more than three quarters of the potential viewers prefer a return to regular daytime programming

( i.e. P > 3/4 =0.75).

Therefore,The null hypothesis is

                      H0: p = 0.75               ( No more than three quarters)

The alternative is

                    Ha: p > 0.75              ( claim : more than three quarters)

Therefore, The correct answer is : H0: p = 0.75 versus Ha: p > 0.75

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