Suppose a chi-square test statistic from a sample of size 1,000 ...

[JMatthes]

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]

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.

[JMatthes]

Gracias!

[AmberC1996]

Thanks for the timely response, appreciate it