Imagine that a researcher correctly conducts a two-tailed z test examining varia
ID: 3180671 • Letter: I
Question
Imagine that a researcher correctly conducts a two-tailed z test examining variable X with an alpha level (also called a p level) of 0.05 (5%). The researcher then correctly computes the following 95% confidence interval for variable X:
[55.25, 59.75]
Based on that information, would the researcher have enough evidence to reject the null hypothesis that the population he sampled from has a mean of 59 for variable X?
Please choose the correct response option below.
a. yes. the researcher has enough evidence to reject the null hypothesis
b. no. the researcher does not have enough evidence to reject the null hypothesis
c. The hypothesis test and the 95% confidence interval provide entirely different information. The 95% confidence interval can not be used to know if a hypothesis test would lead to a rejection of the null hypothesis.
d. Maybe, but our conclusion would depend upon the magnitude of the standard error. Because the standard error was not explicitly provided, we can not know if the researcher has enough evidence to reject the null hypothesis
Explanation / Answer
The confidence interval given to us contains value 59 and it has fully incorporated the standar error in its calculation, then it can be concluded that as 59 lies in the 95% confidence interval and we are testing the null hypothesis at 5% level of sgnificance then researcher dose not have any evidence to reject the null hypothesis.
answer!