The reaction of an individual to a stimulus in a psychological experiment may take one of two forms, A or B. If an experimenter wishes to estimate the probability p that a person will react in manner A, how many people must be included in the experiment? Assume that the experimenter will be satisfied with an error less than 0.04 with a probability of 0.90. a) First, assume that he expects p to be in the neighborhood of 0.60.

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**Psychological Experiment Sample Size Estimation**

The reaction of an individual to a stimulus in a psychological experiment may take one of two forms, A or B. If an experimenter wishes to estimate the probability \( p \) that a person will react in manner A, how many people must be included in the experiment? Assume that the experimenter will be satisfied with an error less than 0.04 with a probability of 0.90.

a) First, assume that he expects \( p \) to be in the neighborhood of 0.60.

b) If you have no idea about the size of the probability, you can just assume \( p=0.50 \). What effect does this have on the sample size?

**Explanation:**

This section is aimed at guiding students through the process of estimating an appropriate sample size for psychological experiments that involve binary outcomes. The central concept revolves around controlling the margin of error and understanding how prior assumptions about probabilities affect sample size determinations.
Transcribed Image Text:**Psychological Experiment Sample Size Estimation** The reaction of an individual to a stimulus in a psychological experiment may take one of two forms, A or B. If an experimenter wishes to estimate the probability \( p \) that a person will react in manner A, how many people must be included in the experiment? Assume that the experimenter will be satisfied with an error less than 0.04 with a probability of 0.90. a) First, assume that he expects \( p \) to be in the neighborhood of 0.60. b) If you have no idea about the size of the probability, you can just assume \( p=0.50 \). What effect does this have on the sample size? **Explanation:** This section is aimed at guiding students through the process of estimating an appropriate sample size for psychological experiments that involve binary outcomes. The central concept revolves around controlling the margin of error and understanding how prior assumptions about probabilities affect sample size determinations.
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