In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 290 of these people said they never did so. reasons cited for their behavior included too many steps in the process, amount too small, missed deadline, fear of being placed on a mailing list, lost receipt, and doubts about receiving the money. calculate an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. (round your answer to four decimal places.) based on this bound, is there compelling evidence that the true proportion of such consumers is smaller than 1 3 ? explain your reasoning. no, there is not compelling evidence the true proportion is less than 1 3 since we can be 95% confident the upper confidence bound is less than 1 3 . yes, there is compelling evidence the true proportion is less than 1 3 since we can be 95% confident the upper confidence bound is greater than 1 3 . yes, there is compelling evidence the true proportion is less than 1 3 since we can be 95% confident the upper confidence bound is less than 1 3 . no, there is not compelling evidence the true proportion is less than 1 3 since we can be 95% confident the upper confidence bound is greater than 1 3 .