1. A researcher compares men and women on 100 different variables using a two- s

Question

1. A researcher compares men and women on 100 different variables using a two- sample t-test. He sets the level of significance to .05 and then carries out 100 independent t-tests (one for each variable) on these data. If, for each test, the null hypothesis actually is true, about how many "statistically significant" results will be produced?

a) 0 b)5 c)10 d) none of the above

2.A newspaper article claims that the average age for people who receive food stamps is 40 years. You believe that the average age is less than that. You take a random sample of 100 people who receive food stamps, and find their average age to be 39.2 years. You find that this is significantly lower than the age of 40 stated in the article (p < .05). What would be an appropriate interpretation of this result?

a) Although the result is statistically significant, the difference in age is not of practical importance.

b)The statistically significant result indicates that the majority of people who receive food stamps is younger than 40

c)An error must have been made. This difference is too small to be statistically significant

Explanation / Answer

1)

Since level of sinifcance is 0.05 so number of "statistically significant" results will be produced is

100 *0.05 = 5

Option b is correct.

2)

b)The statistically significant result indicates that the majority of people who receive food stamps is younger than 40

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