Peter noticed that the nearest cafe, where he had previously been often, changed the signboard. He decided to find out how this place has changed using a rating from five popular sites. He took the rating of this place under the previous name and now and, after that, he conducted a signed-rank test. The result of this study is a signed-rank sum equal to 11. What can he say about a change in the rating of this place? Use α = 0.10.
A) The test-statistic is 13, the critical value is 11. Therefore, he cannot reject the null hypothesis and conclude that the rating has remained unchanged.
B) The test-statistic is 11, the critical value is 13. Therefore, he can reject the null hypothesis and conclude that the rating has changed.
C) The test-statistic is 11, the critical value is 13. Therefore, he cannot reject the null hypothesis and conclude that the rating has remained unchanged.
D) The test-statistic is 13, the critical value is 11. Therefore, he can reject the null hypothesis and conclude that the rating has changed.
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