A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with...

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 200200 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 200200 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey?

Attitude	1st Survey	2nd Survey
Optimistic	28%	32%
Slightly Optimistic	8%	9%
Slightly Pessimistic	36%	31%
Pessimistic	28%	28%

Step 6 of 10 :

Find the value of the test statistic. Round your answer to three decimal places.

Solutions

Expert Solution

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 200 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 200 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey?

Attitude	1st Survey	2nd Survey
Optimistic	28%	32%
Slightly Optimistic	8%	9%
Slightly Pessimistic	36%	31%
Pessimistic	28%	28%

Step 6 of 10 :

Find the value of the test statistic. Round your answer to three decimal places.

test statistic = 2.782

calculated test statistic = 2.782 < critical chi square at 5% level 7.815.

Ho is not rejected.

There is not enough evidence to conclude that attitudes have changed from the first survey to the second survey.

Goodness of Fit Test

	observed	expected	O - E	(O - E)² / E	% of chisq
	64	56.000	8.000	1.143	41.08
	18	16.000	2.000	0.250	8.99
	62	72.000	-10.000	1.389	49.93
	56	56.000	0.000	0.000	0.00
Total	200	200.000		2.782	100.00

	2.782	chi-square
	3	df
	.4265	p-value

orchestra answered 1 year ago

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