A 2008 New York Times poll of Americans with at least a four

A 2008 New York Times poll of Americans with at least a four year college degree asked them how they would rate their overall experience as an undergraduate student. These results are listed in the table below. In 2015, a survery of 500 randomly selcted graduates were surveyed on how they would rate thier overall experience as an undergraduate student; the results of the survey are also listed in the table. Determine if the ratings of distribution of college graduates in 2015 fits the intial distribution. Use a 5% level of significance. (DO NOT ROUND YOUR CALCULATIONS- USE 4 DECIMAL PLACES)

(O-E)

a) State the null and alternate hypotheses and the level of significance

b) Find the critical value. Sketch the sampling distribution and show the area corresponding to the critical value.

c) Indicate the sample test statistic from the table above.

d) Based on your answers for parts (a) through (c), will you reject or fail to reject the null hypothesis? Interpret your conclusion in the context of the application.

College Graduates Rating of overall experience	Distribution of ratings in 2008	OBSERVED: Sample Distribution in 2015	Expected	(O-E)	(O-E)^2	(O-E)^2/E
Excellent	54%	259
Good	39%	192
Fair	6%	39
Poor	1%	10
=	100%	500	500	0

Solution