Question

A researcher is interested in whether students who are musicians have higher intelligence test scores than students in the general population. The researcher predicts that playing a musical instrument is associated with higher intelligence test scores. This is a _____-tailed test and the zcv is _____.

a.two; ± 1.96

b.one; ± 1.65

c.two; ± 1.65

d.one; ± 1.96

Answer 1

b.one; ± 1.65

Solution:

For the given test scenario, the null and alternative hypotheses are given as below:

Null hypothesis: H₀: The students who are musicians have same intelligence test scores as the students in the general population.

Alternative hypothesis: H_a: The students who are musicians have higher intelligence test scores than students in the general population.

So, this is a one tailed test.

We assume level of significance = α = 0.05

So, critical value = 1.65

(by using z-table)

This is a one-tailed test and the z_cv is ±1.65.