Answer:
196
Step-by-step explanation:
Given that the significance level of 2% = α
Because the the null hypothesis is true so it is denoted by α it also defined as the level of significance =1 - confidence level = 1 - 0.02 = 0.98.
So the number of the tests will incorrectly find significance:
=0.98×200=196
The significance level is a value set by the researcher, with which the null
hypothesis can be assessed to be accepted or rejected.
Reasons:
The level of significance gives the amount of evidence that must be
provided before the null hypothesis can be rejected, thereby showing that
there is sufficient statistical evidence that the result is significant.
The likelihood of rejecting a true null hypothesis, and a 2% or 0.02
significance level shows that the risk of assuming that the result indicates a
difference or change is 2%, when there is no difference, and therefore, the
evidence that shows that there is significance, or that the researcher is
going to accept a possibility that 2% of the test can incorrectly find
significance.
Therefore, given that the number of test conducted is 200, at 2%
significance level, the researcher is willing to accept that 2% of the test
may incorrectly show significance, which gives;
Tests that will incorrectly show significance = 2% × 200 = 4
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