Use the sign test to test the alternative hypothesis at the alpha = 0.05 level o

Question

Use the sign test to test the alternative hypothesis at the alpha = 0.05 level of significance. Alternative Hypothesis: the median is less than 8. An analysis of the data reveals that there are 4 minus signs and 2 plus signs. Test the given alternative hypothesis. Reject H_0 because the test statistic is greater than the critical value. Do not reject H_0 because the test statistic is less than or equal to the critical value. Do not reject H_0 because the test statistic is greater than the critical value. Reject H_0 because the test statistic is less than or equal to the critical value.

Explanation / Answer

Here, the test stastic=minimum(signs)

=minimum(4,2)=2

critical value=1.64(z value at alpha=0.05)

Here, test stastic>critical value,

therefore,We reject the null hypothesis.

Therefore,the correct option is option A.

Reject H0,since the test stastic is greater than the critical value.

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