Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , p , \sigma )$

question 10

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. 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) \(\begin{array} { l }
• H _ { 0 } : p = 5.8 \% \\
• H _ { 1 } : p < 5.8 \%
• \end{array}\)
• B) \(\begin{array} { l }
• H _ { 0 } : p = 5.8 \% \\
• H _ { 1 } : p \leq 5.8 \%
• \end{array}\)
• C) \(\begin{array} { l }
• H _ { 0 } : p = 5.8 \% \\
• H _ { 1 } : p > 5.8 \%
• \end{array}\)
• D) \(\begin{array} { l }
• H _ { 0 } : p < 5.8 \% \\
• H _ { 1 } : p \geq 5.8 \%
• \end{array}\)

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Definitions:

Intuitive

Characterized by the ability to understand or know something immediately based on instinctive feelings rather than conscious reasoning.

Thinking

The process of considering or reasoning about something.

Decision Trap

A situation in decision-making where biases, poor information, or pressure leads to a significant or systematic error.

Framing Error

A cognitive bias in decision-making that occurs when information is presented in a way that influences an individual's interpretation or decision.