A Psychologist Claims That More Than 5 $\mathrm { H } _ { 0 } : \mathrm { p } < 5.8 \%$

question 85

Multiple Choice

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.

• A) \(\mathrm { H } _ { 0 } : \mathrm { p } < 5.8 \%\)
• \(\mathrm { H } _ { 1 } : \mathrm { p } \geq 5.8 \%\)
• B) \(\mathrm { H } _ { 0 } : \mathrm { p } = 5.8 \%\)
• \(\mathrm { H } _ { 1 } : p > 5.8 \%\)
• C) \(\mathrm { H } _ { 0 } : \mathrm { p } = 5.8 \%\)
• \(\mathrm { H } _ { 1 } : \mathrm { p } < 5.8 \%\)
• D) \(\mathrm { H } _ { 0 } : \mathrm { p } > 5.8 \%\)
• \(\mathrm { H } _ { 1 } : \mathrm { p } \leq 5.8 \%\)

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Definitions:

Null Hypothesis

A default statement that indicates no effect, difference, or relationship between two or more variables in an experiment.

Alternative Hypothesis

The hypothesis that is tested against the null hypothesis, usually representing the notion of a difference or effect.

Type I Error

Erroneously dismissing a true null hypothesis, often called a "false positive."

Sample Mean

The average obtained from a sample, calculated by summing all sample data points and dividing by the number of points.