Imagine that a researcher appropriately collects data from 100 people from a par
ID: 3488330 • Letter: I
Question
Imagine that a researcher appropriately collects data from 100 people from a particular population for variable X. He obtains a mean of 19.2 from these 100 people. He also knows that the population mean for variable X is 21.05 ( 21.05) with a population standard deviation of 10 (= 10). If the researcher uses a two-tailed hypothesis test with an alpha level (or p-level) of 0.05 (5%), what decision should the researcher make when following the rules of hypothesis testing? (When answering, please assume that any relevant assumptions are met for this hypothesis test). O Reject the null hypothesis O Fail to reject the null hypothesis 0 In order to choose one of the answers listed above. more information would have to be provided as part of the question.Explanation / Answer
The answer is Reject the Null Hypothesis and accept the alternative hypothesis.
Since the value of p is 0.05, we interpret that the probability of null hypothesis being true is only 5% and, therefore, we can reject the null hypothesis and accept the alternative hypothesis. We could have failed to reject the null hypothesis if the value of p was greater than 0.05.