Table: Word Usage and Gender) Mehl (2007) reported in the journal Science the re
ID: 3235131 • Letter: T
Question
Table: Word Usage and Gender) Mehl (2007) reported in the journal Science the results of an extensive study of 396 men and women, comparing the number of words uttered per day by each sex. Volunteer participants wore inconspicuous recording devices that recorded the subjects' daily word usage. Is there any validity to the notion that women talk more than men? The following fictional data produce results similar to those obtained by Mehl (2007). Perform all six steps of hypothesis testing on the data to answer this question.
Table: Word Usage and Gender
Women
Men
17,214
16,322
15,325
14,636
14,022
17,045
18,643
18,873
15,800
13,071
Women
Men
17,214
16,322
15,325
14,636
14,022
17,045
18,643
18,873
15,800
13,071
Explanation / Answer
1) Hypothesis:
Null hypothesis: 1 - 2 = 0
Alternative hypothesis: 1 - 2 > 0
2) Data :
x1 = 16200.8 , x2 = 15989.4 , s1 = 1779.45 , s2 = 2229.84 , n 1 = n2 = 396
3) Test statistic:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
SE = sqrt[(1779.45^2/396) + (2229.84^2/396)]
= 143.36
t = ( x1 - x2)/SE
= ( 16200.8 - 15989.4)/ 143.36
= 1.475
4) p value is calculated using t = 1.475 , df = 790
P value = .0703
5)
Statistical decision
fail to Reject because 0.0703 > 0.05.
6) From these data, it can be concluded that there is not any validity to the notion that women talk more than men
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