The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. O A. O B. O C. O D. 70 70 70 70 Best Actor (yours) Best Actor {yours) Best Actor (years) Best Actor (years) 20+ 20+ 20 20 20 20 Best Actress {years) Bast Actrasa {years) Best Actress (ymara) Best Actress (years) The linear correlation coefficient is r=]. - X 'Round to three decimal places as needed.) Best Actresses and Best Actors Determine the null and altemative hypotheses. Best Actress 27 31 29 64 32 33 46 28 66 22 45 56 Best Actor 45 35 3-8 45 48 47 64 52 40 56 42 33Determine the null and abamative hypotheses. X HIP DO Best Actresses and Best Actors (Type imagers or decimals. Do not round. ] Best Actress| 27 31 29 64 32 33 48 25 66 22 45 56 The best statistic is t =. Best Actor 45 35 38 45 48 47 64 52 56 42 23 (Found to two decimal places as needed.] The P-value is (Found to three decimal places as needed.) Print Done Because the P-value of the linear correlation coofficiant is the significance laval, there sufficient evidence to support the claim that there is a linear correlation betwe Should we expect that there would be a comelation? (7 A. Yes, because Best Actors and Best Actresses are typicaly the same age. Q B. No, bacause Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be comrelated. 3 C. Yes, because Best Actors and Bast Actresses typically appear in the same movies, so we should expect the ages to ba comrelated. D. No, because Best Actors and Beat Actresses are not typically the same aga.Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.025 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation? Cents portion of check 0-24 25-49 50-74 75-99 Number 35 24 19 22 Click here to view the chi-square distribution table. The test statistic is. (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) State the conclusion. Hy- There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category s disproportionately high