th the g) faster to a go/no go stimulus or a choice stimulus. Wit no go stimulus
ID: 3317146 • Letter: T
Question
th the g) faster to a go/no go stimulus or a choice stimulus. Wit no go stimulus, subjects must respond to a particular by pressing a button and disregard other stimuli. In the d the stimulus, the subjects respond differently depending on stimulus. The psychologist randomly selects 20 subjects, uli and and each subject is presented a series of go/no go stim choice stimuli. The mean reaction time to each stimulus IS compared. In Problems 9-12, conduct each test at the = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, (c) the critical value, and (d) the P-value. Assume that the samples were obtained independently using simple random sampling. 9. Test whether P1 > P2. Sample data: x1-368, n1 = 541, X2 = 351,n2 = 593 10. Test whether piExplanation / Answer
Question 10
H0 : p1 >= p2
Ha : p1 < p2
p^1 = 109/475 = 0.2295
p^2 = 78/325 = 0.24
Pooled estimate p = (109 + 78)/ (475 + 325) = 0.23375
standard error of proportion = sqrt [p * (1-p) * (1/n1 + 1/n2)] = sqrt [ 0.23375 * 0.76625 * (1/475 + 1/325)]
= 0.03047
Here test statistic
Z = (0.2295 - 0.24)/ 0.03047 = -0.3446
(c) Critical value Z = - 1.645 for alpha = 0.05
(d) P- value = Pr(Z < -0.352) = 0.3649
Question 12
H0 : p1= p2
Ha : p1 p2
p^1 = 804/874 = 0.92
p^2 = 902/954 = 0.9455
Pooled estimate p = (804 + 902)/ (874 + 954) = 0.9333
standard error of proportion = sqrt [p * (1-p) * (1/n1 + 1/n2)] = sqrt [ 0.9333 * 0.0667 * (1/874 + 1/954)]
= 0.01168
Here test statistic
Z = (0.92 - 0.9455)/ 0.01168 = -2.1894
(c) Critical value Z = +- 1.96 for alpha = 0.05
(d) P- value =2 * Pr(Z < -2.1894) = 2 * 0.014285 = 0.02857
Question 14
Here 99% confidence interval = (p^1 - p^2) +- Z99% se0
= (0.2295 - 0.24) +- 2.575 * 0.03047
= (-0.0889, 0.06796)
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