Author Question: Suppose a chi-square test statistic from a sample of size 1,000 is 38.2 with a p-value of .0001, so ... (Read 117 times)

JMatthes · **on:** Jul 24, 2018

Suppose a chi-square test statistic from a sample of size 1,000 is 38.2 with a p-value of .0001, so the relationship is statistically significant. If the sample size for this study had only been based on a sample size of 100 (but the percentages remained the same), what would the chi-square test statistic have been and what conclusion would have been drawn?
a. Chi-square = 38.2; p-value = .0001; the relationship is statistically significant.
b. Chi-square = 3.82; p-value = .001; the relationship is statistically significant.
c. Chi-square = 3.82; p-value = .052; the relationship is not statistically significant.
d. None of the above.

Question 2

Is it possible for an important relationship in a population to fail to achieve statistical significance in the sample and therefore go undetected, even if the sample is selected properly and the data are collected correctly? Explain your answer.

mammy1697 · **Reply #1 on:** Jul 24, 2018

Answer to Question 1

C

Answer to Question 2

YES; WHY: 1) THERE MAY HAVE ONLY BEEN A FEW OBSERVATIONS; OR 2) THE SAMPLE IS NOT REPRESENTATIVE OF THE POPULATION, JUST BY CHANCE.