Question

# When making random guesses for difficult multiple choice test questions with possible answer of A,B,C,D, and...

When making random guesses for difficult multiple choice test questions with possible answer of A,B,C,D, and E. We expect to get 20% answers correct. A student uses another method of guessing and get 23% answers correct. There is a chance of 26% of getting such result if this method is as good as guessing.

A) Does the method used by the student have statistical significant ? Explain.

B) Does the method used by the student have practical significant ? Explain.

Solution:-

A)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P1 = P2
Alternative hypothesis: P1 > P2

Note that these hypotheses constitute a one-tailed test.

Since the p-value(0.26) is greater than the significance level(0.05), hence we have to reject the null hypothesis.

A) The method used by the student is not statistical significant.

B) The method used by the student have practical significant, becuase new method of guessing gets 23% answers correct which is greater than expected 20%.

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