Question

A developmental psychologist believes that children raised in bilingual families have higher verbal fluency at age 3 than children raised in families where only one language is spoken. She recruits 25 bilingual and 25 monolingual families with 3-year-old children from her a newspaper ad and administers the Childhood Test of Verbal Fluency (CTVF) to each child. She finds that mean CTVF test score for bilingual children is 5 points higher than the mean CTVF score for monolingual children. She then performs a t-test on the null hypothesis: Ho: CTVFbilingual ≤ CTVFmonolingual at the α =.05 significance and finds an observed significance level of p=.15.

A) How would you write the alternative hypothesis?

B) What is the null Hypothesis (Ho)?

C) What is the alternative hypothesis?

D) What test did the researcher perform?

E) What statistical distribution was used to carry out the test?

F) Assume the bilingual 3-year old really does have higher fluency than monolingual 3-year olds. In other words, this difference is true in the population. What action did the researcher take? a)correct rejection of Ho b) type 1 error c) type 2 error d) correct acceptance of Ho

Answer 1

a)

alternative hypothesis would be CTVFbilingual > CTVFmonolingual

b)

Ho : CTVFbilingual ≤ CTVFmonolingual

c)

Ha : CTVFbilingual > CTVFmonolingual

d)

t- test for independent samples

e) t- distribution with 25 + 25 - 2 = 48 degrees of freedom

f)

we would make a type ii error

opiton c)

since p-value > alpha, we fail to reject the null hypothesis

type i error - when we reject the null hypothesis even when null hypothesis is true

type ii error- when we fail to reject the null hypothesis, even when null hypothesis is false

since we fail to reject the null hypothesis, we could have made type ii error

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