For each of the following, (a) say which two populations are being compared, (b)

Question

For each of the following,

(a) say which two populations are being compared, (b)

state the research hypothesis,

(c) state the null hypothesis, and

(d) say whether you should use a one-tailed or two-tailed test and why.

i. Do Canadian children whose parents are librarians score higher than Canadian children in general on reading ability?

ii. Is the level of income for residents of a particular city different from the level of income for people in the region?

iii. Do people who have experienced an earthquake have more or less self-confidence than the general population?

Explanation / Answer

i)
Population 1 : the population oof the children whose parents are librarians is compared with
Population 2 : the population of the children in general.

Research hypothesis: H1 : mu1 > mu2
Null hypothesis : H0: mu1 <= mu2

This is one tailed test.

ii)
The population of resident (income) of city 1 is compared with the population of resident (income) of city 2.

Research Hypothesis: H1: mu1 not equals to mu2
Null hypothesis: H0: mu1 = mu2

This is two tailed test.

iii)
The population who experienced an earthquake is compared with the population who did not.

Research Hypothesis: H1: mu1 not equals to mu2
Null Hypothesis: H0: mu1 = mu2

This is two tailed test.

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