Question

- For a test item with
(e.g., true/false), what is the probability of selecting the correct answer*two response options**by chance*? - Calculate the
**optimal**level of difficulty for a test questions with.*two response options* - For a test item with
, what is the probability of selecting the correct answer*three response options**by chance*? - Calculate the
**optimal**level of difficulty for a test questions with*three response options* - For a test item with
, what is the probability of selecting the correct answer*four response options**by chance*? - Calculate the
**optimal**level of difficulty for a test questions with*four response options?* - For a test item with
, what is the probability of selecting the correct answer*five response options**by chance?* - Calculate the
**optimal**level of difficulty for a test questions with.*five response options*

.

Answer #1

a).

For two response option - P(selecting correct answer) =( # of favourable outcomes/total # of outcomes) = 1/2 = 0.5

Level of difficulty is % of total group that got the answer correct.

Thus optimum level of difficulty for two response option is = 0.75

b). P (selecting correct answer) for three response option = 1/3 = 0.33

optimum level of difficulty for three response option is = 0.665

c).

P (selecting correct answer) for four response option = 1/4 = 0.25

optimum level of difficulty for three response option is = 0.625

d).

P (selecting correct answer) for five response option = 1/5 = 0.20

optimum level of difficulty for three response option is = 0.60

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