Question

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 380380 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 380380 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   0.23   0.16
Slightly Optimistic   0.17   0.19
Slightly Pessimistic   0.29   0.34
Pessimistic   0.31   0.31

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

Answer 1