5. For each of the following three cases, explain (i) the hypotheses with a plau

Question

5. For each of the following three cases, explain (i) the hypotheses with a plausible definition of pi and p2, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (iii) whether or not the data indicate statistical significance. (a) A recent study of perfect pitch tested 2,700 students in American music conservatories. It found that 7% of non-Asian students and 32% of Asian students have perfect pitch. A two- sample Z-test of the difference in proportions resulted in a p-value of

Explanation / Answer

a)

i) p1 = proportion of non asian students have perfect pitch

p2 = proportion of asian students have perfect pitch

ii) in practical view, there is more significance difference between both asian and non asian students who have perfect pitch. (based on their percentages 7% and 32%)

iii) in statistical view, there is significant difference between the given proportions, since p value = 0.000 < 0.05

b)

i) p1 = proportion of interviewed disapproved of president Nixon

p2 = proportion of inverviewed expressed disapproval of president Bush

ii) In general view , there is no much difference between given proportions (based on given percentages)

iii) in statistical view, there is significant difference between the proportions, since p value = 0.023 < 0.05 level

on the other hand, there is no significant difference between the proprtions, since p value = 0.023 > 0.01

c)

i) p1 = proportion of male students supported death penaulty

p2 = proportion of female students supported death penaulty

ii) in general view, there is significant difference from given percentages

iii) in statistical view, there is no significant difference, since p value = 0.21 > 0.05 level or 0.01 level

  

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