In testing the hypothesesH0: μ = 75HA: μ < 75,if the value of the Z test statistic equals -1.78, then the p-value is:Group of answer choices0.9625.0.375.0.5375.0.4625.
Question
In testing the hypothesesH0: μ = 75HA: μ < 75,if the value of the Z test statistic equals -1.78, then the p-value is:Group of answer choices0.9625.0.375.0.5375.0.4625.
Solution
The p-value is calculated using the Z test statistic. In this case, the Z test statistic is -1.78. The p-value is the probability that you would observe a more extreme test statistic if the null hypothesis were true.
Since the alternative hypothesis is μ < 75, we are looking at the left tail of the standard normal distribution.
The Z test statistic of -1.78 corresponds to a p-value of 0.0375.
So, the correct answer is 0.0375.
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