Question

A poll printed the results of a survey of 880Americans focusing on their perception of the quality of Japanese products. It has been observed that the sentiment towards Japanese products has actually improved over time. Is there sufficient evidence to conclude that American sentiment towards Japanese products changed from 1999 to 2005?

Opinion	1999	2005
Good to Excellent	24%	28%
Average	27%	40%
Below Average	18%	3%
No Opinion	31%	29%

Step 1 of 10: State the null and alternative hypothesis.

Step 2 of 10: What does the null hypothesis indicate about the proportions of Americans in each rating category?

The proportions of Americans in each rating category are all thought to be equal.

or

The proportions of Americans in each rating category are different for each category (and equal to the previously accepted values).

Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category.

Step 4 of 10: Find the expected value for the number of Americans who rate Japanese products good to excellent. Round your answer to two decimal places.

Step 5 of 10: Find the expected value for the number of Americans who rate Japanese products average. Round your answer to two decimal places.

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 0.025 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 0.025 level of significance.

Step 10 of 10: State the conclusion of the hypothesis test at the 0.025 level of significance.

Answer 1