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This next section refers to the following scenario and dataset. After your disse

ID: 3322137 • Letter: T

Question

This next section refers to the following scenario and dataset. After your dissertation committee laughs you out of the room for your proposal about blond hair bias on reality television, you do some deep reflection on what you should do with the rest of your life. You take a week off and go hiking, when another idea strikes you While resting under a tree, thinking about what your classmates are doing, you realize that most of your classmates are female, but it seems that most of your professors are male. You wonder what's up with that. If most doctoral students in psychology are female, shouldn't most psychology professors be female? You hypothesize that female psychologists may be more likely to seek out non-academic positions than are males following graduation. You survey 1,000 psychologists through the American Psychological Association, and ask them their sex and what professional position they currently hold. Here is what you find: Observed Frequencies of Psychologist Sex and Profession Profession AcademicNon-Academic Sex Female Male 95 96 540 269 11. Write out the null and alternative hypotheses in symbols or words (no need for both; 2 points). Use pra for the probability of being female in academia, and pMu for the probability of being male in academia. 12. Calculate the expected frequencies of each cell, then enter them into this table (2 points). Expected Frequencies of Psychologist Sex and Position Position Sex Academic Non-Academic Female Male

Explanation / Answer

13-15

TS = 19.2915

p-value = 0.0000112 < 0.05

we reject the null

16-20

gender
exceed
3.84
rejected
meaning fully different
df = 1
19.29157
p < 0.05
male

c1 c2 total r1 95 540 635 r2 96 269 365 total 191 809 1000 Oi 95 540 96 269 Ei 121.285 513.715 69.715 295.285 TS (O--Ei)^2/Ei 5.69651 1.344912 9.910367 2.339778 19.29157 critical value 3.84 p-value 1.12201E-05
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