In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test isQuestion 8Select one:a.0.4938b.-1.25c.0.0062d.0.0124
Question
In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test isQuestion 8Select one:a.0.4938b.-1.25c.0.0062d.0.0124
Solution
The p-value is determined by looking up the test statistic (Z = -2.5) in a standard normal distribution table or using a calculator with a normal distribution function.
In a two-tailed test, we are interested in extremes on both ends of the distribution, so we look for the probability that a value is either less than -2.5 or greater than 2.5.
Looking up 2.5 in the Z-table gives us 0.9938. This is the probability that a value is less than 2.5. But we want the probability that a value is greater than 2.5, so we subtract this from 1, giving us 0.0062.
Since it's a two-tailed test, we double this value (0.0062 * 2) to get 0.0124.
So, the p-value for this test is 0.0124 (option d).
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