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In: Statistics and Probability

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 2 years ago
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