METHODS OF DATA ANALYSIS
DECISION MAKING WITH HYPOTHESIS TESTING
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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For finding the p-value when the population standard deviation is unknown, if it is reasonable to assume that the population is normal, we use
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the z distribution
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the t distribution with n-1 degrees of freedom
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the t distribution with n + 1 degrees of freedom
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None of the above
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Explanation:
Detailed explanation-1: -The p-value for a hypothesis test on a population mean is the area in the tail(s) of the distribution of the sample mean. When the population standard deviation is unknown, use the t-distribution to find the p-value.
Detailed explanation-2: -The z-statistic is used to test for the null hypothesis in relation to whether there is a difference between the populations means or proportions given the population standard deviation is known, data belongs to normal distribution, and sample size is larger enough (greater than 30).
Detailed explanation-3: -A t-test is performed in a case where we have not been informed about the standard deviation () of the population.
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