Question

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 370 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 370 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	8%	3%
Slightly Optimistic	26%	30%
Slightly Pessimistic	32%	33%
Pessimistic	34%	34%

Copy Data

Step 6 of 10 :  

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

Answer 1

The hypotheses are; Ho: pOptimistic = 0.08, PSlightly Optimistic = 0.26, PSlightly Pessimistic = 0.32, PPessimistic = 0.34 Ha: There is some difference amongst the proportions, that is, attitudes have changed The required calculations in order to obtain the expected and observed frequencies are: attitude optimistic slightly optimistic slightly pessimistic pessimistic total 1st survey 29.6 96.2 118.4 125.8 370 (expected) 2nd survey (original) 11.1 111 122.1 125.8 370 (original - expected) 342.25 219.04 13.69 0 Therefore, the value of test statistic is, == (0,-E) χ =Σ E 342.25 219.04 13.69 0 + + + 29.6 96.2 118.4.125.8 = 13.955 =