The critical boundaries for a hypothesis test are z = + 1.96 and - 1.96. if the z-score for the sample data is z = - 1.90, what is the correct statistical decision?

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Jillian Oconnell

Mathematics

5 May, 01:32

The critical boundaries for a hypothesis test are z = + 1.96 and - 1.96. if the z-score for the sample data is z = - 1.90, what is the correct statistical decision?

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Louis Duke · Answer 1

Z-score is a statistical tool that is used to estimate the probability of finding a number in a normal distribution of data. Normal distribution is described as a function in which the mean is zero, the standard deviation is 1 and that the area under the curve is equal to 1. In this case, z = - 1.96 is located at the left side of the graph and z = 1.96 is located on the other side. z = - 1.90 is located between the mean and z = - 1.96. This means finding the value with z = - 1.90 is within the critical boundaries set by the test because the area inclusive covers z = - 1.90.