Question

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250250 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	6%	13%
Slightly Optimistic	12%	17%
Slightly Pessimistic	22%	12%
Pessimistic	60%	58%

Copy Data

Step 1 of 10:

State the null and alternative hypothesis.

Step 2 of 10:

What does the null hypothesis indicate about the proportions of respondents with each attitude?

Step 4 of 10:

Find the expected value for the number of respondents who are optimistic. Round your answer to two decimal places. E(n optimistic) =

Step 5 of 10:

Find the expected value for the number of respondents who are pessimistic. Round your answer to two decimal places. E(n Pessimistic) =

Step 6 of 10:

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

Step 7 of 10:

Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10:

Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.

Step 9 of 10:

Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance.

Step 10 of 10:

State the conclusion of the hypothesis test at the 0.05 level of significance.

Answer 1