show work 2.2111) = XXXXXXXXXXP(2 > 2.2672) = XXXXXXXXXXP(2 > 2.2) = 0.0139P(2 > 1.6036) = 0.0544(d) State your conclusion.REJECT or FAIL TO REJECT Ho. There is SUFFICIENT or INSUFFICIENT evidence...

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2.2111) = 0.0135 P(2 > 2.2672) = 0.0117 P(2 > 2.2) = 0.0139 P(2 > 1.6036) = 0.0544 (d) State your conclusion. REJECT or FAIL TO REJECT Ho. There is SUFFICIENT or INSUFFICIENT evidence to conclude that the recall rate of the younger group is THE SAME AS or DIFFERENT FROM the recall rate of the older group. (Circle the correct capitalized word or phrase in each of the three places a choice is given.) Bonus 4 points: Find and interpret the 90% confidence interval for (pi - p2). The CI is (Round to two decimal places, as needed.) "/>
Extracted text: 2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic 2 = (round to four decimal places as needed) (c) The p-value p = (round to four decimal places as needed) You should find one of the following useful for part c: P(z > 2.2111) = 0.0135 P(2 > 2.2672) = 0.0117 P(2 > 2.2) = 0.0139 P(2 > 1.6036) = 0.0544 (d) State your conclusion. REJECT or FAIL TO REJECT Ho. There is SUFFICIENT or INSUFFICIENT evidence to conclude that the recall rate of the younger group is THE SAME AS or DIFFERENT FROM the recall rate of the older group. (Circle the correct capitalized word or phrase in each of the three places a choice is given.) Bonus 4 points: Find and interpret the 90% confidence interval for (pi - p2). The CI is (Round to two decimal places, as needed.)