Suppose That a Researcher Wants to Check to See If

Multiple Choice

Suppose that a researcher wants to check to see if the average household income in
Webster Groves,Missouri,has changed from the $60,000 it was three years ago.The
Researcher takes a random sample of households in Webster Groves and finds that the average income of these households is $58,000.If the standard error of the mean for this sample is $500,what is the approximate conclusion produced by the Z-test if the critical Z-value is 1.96?

A) Accept the null hypothesis
B) Reject the research hypothesis of interest
C) Accept the hypothesis of the status quo
D) Reject the null hypothesis and accept the research hypothesis
E) Reject the research hypothesis