A poll printed the results of a survey of 880Americans focusingon their perception of the quality of Japanese products. It hasbeen observed that the sentiment towards Japanese products hasactually improved over time. Is there sufficient evidence toconclude that American sentiment towards Japanese products changedfrom 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 theproportions of Americans in each rating category?
The proportions of Americans in each rating category are allthought to be equal.
or
The proportions of Americans in each rating category aredifferent for each category (and equal to the previously acceptedvalues).
Step 3 of 10: State the null and alternative hypothesis in termsof the expected proportions for each category.
Step 4 of 10: Find the expected value for the number ofAmericans who rate Japanese products good to excellent. Round youranswer to two decimal places.
Step 5 of 10: Find the expected value for the number ofAmericans who rate Japanese products average. Round your answer totwo decimal places.
Step 6 of 10: Find the value of the test statistic. Round youranswer to three decimal places.
Step 7 of 10: Find the degrees of freedom associated with thetest statistic for this problem.
Step 8 of 10: Find the critical value of the test at the 0.025level of significance. Round your answer to three decimalplaces.
Step 9 of 10: Make the decision to reject or fail to reject thenull hypothesis at the 0.025 level of significance.
Step 10 of 10: State the conclusion of the hypothesis test atthe 0.025 level of significance.
