A Statistics Professor Wants to See If More Than 80 $\mathrm { H } _ { 0 } : p > 0.80$

question 197

Multiple Choice

A statistics professor wants to see if more than 80% of her students enjoyed taking her class. At the End of the term, she takes a random sample of students from her large class and asks, in an Anonymous survey, if the students enjoyed taking her class. Which set of hypotheses should she
Test?

• A) \(\mathrm { H } _ { 0 } : p > 0.80\)
• \(\mathrm { H } _ { \mathrm { A } } : p = 0.80\)
• B) \(\mathrm { H } _ { 0 } : p < 0.80\)
• \(\mathrm { H } _ { \mathrm { A } } : p > 0.80\)
• C) \(\mathrm { H } _ { 0 } : p = 0.80\)
• \(\mathrm { H } _ { \mathrm { A } } : p < 0.80\)
• D) \(\mathrm { H } _ { 0 } : p = 0.80\)
• \(\mathrm { H } _ { \mathrm { A } } : p > 0.80\)
• E) \(\mathrm { H } _ { 0 } : p < 0.80\) \
• (\mathrm { H } _ { \mathrm { A } } : p \neq 0.80\)

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Definitions:

Difference Threshold

A measure of the smallest increase or decrease in a physical stimulus that is required to produce a difference in sensation that is noticeable 50% of the time.

Psychophysical Threshold

The minimum level of stimulus intensity perceived by the sensory system.

Just Noticeable Difference

The smallest difference in stimulation required to detect a change in sensory inputs, also known as the difference threshold.

Detectable Difference

The minimum change in a stimulus that can be correctly identified as different from a reference stimulus a certain proportion of the time.