Do males or females feel more tense or stressed out at work? A survey of employe

Question

Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by Harris Interactive on behalf of the American psychological Association revealed the following: Felt Tense or Stressed out @ work Gender Yes No Male 244. 498 Female 282. 480
a.Given that the employed adult felt tense or stressed out at work, what is the probability that the employed adult was a male? b. Given that the employed adult is male, what is the probability that he felt tense or stressed out at work?
c.Explain the difference in the results in (a) and (b).
d. Is feeling tense or stressed out at work and gender independent? Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by Harris Interactive on behalf of the American psychological Association revealed the following: Felt Tense or Stressed out @ work Gender Yes No Male 244. 498 Female 282. 480
a.Given that the employed adult felt tense or stressed out at work, what is the probability that the employed adult was a male? b. Given that the employed adult is male, what is the probability that he felt tense or stressed out at work?
c.Explain the difference in the results in (a) and (b).
d. Is feeling tense or stressed out at work and gender independent? Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by Harris Interactive on behalf of the American psychological Association revealed the following: Felt Tense or Stressed out @ work Gender Yes No Male 244. 498 Female 282. 480
a.Given that the employed adult felt tense or stressed out at work, what is the probability that the employed adult was a male? b. Given that the employed adult is male, what is the probability that he felt tense or stressed out at work?
c.Explain the difference in the results in (a) and (b).
d. Is feeling tense or stressed out at work and gender independent?

Explanation / Answer

from the given data following information has been generated

(part a) P(male|adult felt tense or stressed out at work)=244/526=0.4639

(part b)P(adult felt tense or stressed out at work|male)= 244/742=0.3288

(part c) (a) probability of random chosen adult ( who is felt tense) is male and (b) is random adult (whol is felt tense) chosen is male

(part d) here we use chi-square test with null hypothesis

H0: feeling tense or stressed out at work and gender is independent

H1: feeling tense or stressed out at work and gender is not independent

and

chi-squre=sum((O-E)2/E)=2.81 is less than critical chi-square(0.05,1)=3.84 , so we accept H0 and conlude that both are independent

Probability Felt Tense or Stressed out @ work yes no total Gender Male 0.1622 0.3311 0.4934 Female 0.1875 0.3191 0.5066 total 0.3497 0.6503 1.0000

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