authors of a paper on perception included an age rating. Some participants read the description with an age-restrictive label of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age-restrictive label of 12+, 16+, or 18+. The following data for 12- to 13-year-old boys are consistent with summary statistics given in the paper. (The sample sizes in the actual experiment were larger.) For purposes of this exercise, you can assume that the boys were assigned at random to ane of the four age label treatments (7+, 12+, 16+, and 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. video gam carried out an experiment to determine it restrictive labels on games actually increased the attractiveness of the game for young game players. Participants read a description of a new video game and were asked much they wanted to play the game. The description also 7+ label 12+ label e 16+ label 18+ label A USE SALT Do the data provide convincing evidence that the means of the ratings asseciated with the game descriptions by 12- to 13-yearold boys is not the same for all four restrictive rating labels? Test the appropriate hypotheses using a significance level of 0.05. (Let H, and be the true mean ratings of how much 12- to 13-yearold boys want to play the game on a scale of 1 to 10 for the four different age label treatments.) State the appropriate null and alternative hypotheses. Ho at least two of the four 's are different HoI H4 H: at least three of the four 's are different H, : all four of the 's are different O Ho all four of the s are different H at least twe of the four u's are different Find the best statistic. (Round your answee to two decimal places.) F-503 Use technology to find the Pvalue. (Round your answer to four decimal places-) Pvalue - 0.008 x State the conclusion in the problem context. We reject Ha The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. We reject Ha. The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. We fail to reject He The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is net the same for all four restrictive rating labels. We fail to reject He The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-yeareld beys is not the same for all four restrictive rating labels.