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Question
a newsletter publisher believes that 61% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publishers claim. after performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publishers claim? answer 1 point there is sufficient evidence at the 0.02 level of significance that the percentage is not 61 %. there is not sufficient evidence at the 0.02 level of significance that the percentage is not 61 %.
When a testing - firm fails to reject the null hypothesis at a given level of significance, it means that the data does not provide enough evidence to conclude that the alternative hypothesis is true. Here, the null hypothesis is likely that the percentage of readers who own a Rolls - Royce is 61%, and since the null hypothesis is not rejected at the 0.02 level of significance, there is not enough evidence to say that the percentage is not 61%.
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There is not sufficient evidence at the 0.02 level of significance that the percentage is not 61 %.