Question

7. A researcher selects a sample of 20 women and asked them to rate how important a sense of humor is in someone they want a long-term relationship with. She records scores averaging 1.5±0.8 (M±SD) on a rating scale from -3 (not important at all) to +3 (very important). Assuming that an average score of 0 is the null hypothesis, test whether or not women find this trait important at a .05 level of significance.

Answer 1

Ho:

women do not find this trait important

Ha;

women find this trait important

alpha=0.05

Test statistic,

t=xbar-mu/s/sqrt(n)

=(1.5-0)/(0.8/sqrt(20))

t= 8.385255

df=n-1=20-1=19

p value two tail t test is

=T.DIST.2T( 8.385255,19)

=8.27654E-08

=0.0000

p<0.05

Reject Ho

Accept Ha

There is suffcient statistical evidence at 5% level of significance to conclude that  women find this trait important