9.4.73-1 Question Help of the \"ip-of-the-tongue\" phenomenon, trying to think o
ID: 3053945 • Letter: 9
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9.4.73-1 Question Help of the "ip-of-the-tongue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The A journal published a study researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of younger seniors had a higher recall rate. Suppose 32 of the 50 seniors age. When primed with the initial syllable of a missing word, the 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 a0.0 higher recall rate than the other? Does one group of elderly people have a significanty Let py 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. Choose the correct answer below O A. Ho: (P1-P2) OB. Ho: (P1-P2)> Ha (P1 -P2) Ha: (p1-p2) #0 Ha (P1 -P2) 0 Ha: (p1-P2)" o Ha (P-P2) > Hai (P1-P2)" 0 OE. Ho: (P1-P2) Find the test statistic. The test statistic is z Round to two decimal places as needed.) Enter your answer in the answer box and then cilick Check Answer. 2 Pemaining Clear AExplanation / Answer
p1 = 32/50 = 0.64
p2 = 22/50 = 0.44
The pooled sample proportion (P) = (p1 * n1 + p2 * n2)/(n1 + n2)
= (0.64 * 50 + 0.44 * 50)/100 = 0.54
SE = sqrt(P * (1 - P) * (1/n1 + 1/n2))
= sqrt(0.54 * (1 - 0.54) * (1/50 + 1/50))
= 0.1
The test statistic z = (p1 - p2)/SE
= (0.64 - 0.44)/0.1 = 2.00
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