Question

Recall that a test is statistically significant at a particular significance level if the null hypothesis is rejected when alpha is set at this value. Suppose a medical researcher conducts a statistical test of hypotheses and finds there is statistically significant evidence for the alternative hypothesis at a significance level alpha = 0.05. The researcher may conclude that...a) the test would also be statistically significant at level alpha = 0.01b) the test would also be statistically significant at level alpha = 0.10c) both of the above are trued) none of the above are true

Answer 1

The correct option is: b) the test would also be statistically significant at level alpha = 0.10

Explanation:

Consider the provided information.

Suppose a medical researcher conducts a statistical test of hypotheses and finds there is statistically significant evidence for the alternative hypothesis at a significance level alpha = 0.05.

It means that the test would be statically significant at level alpha = 0.10

As we know that if alternative hypothesis is true then the value of p must be less than α.

That means if the p-value is less than 0.05 then it must be less than 0.10.

Hence, the correct option is: b) the test would also be statistically significant at level alpha = 0.10