Question

For the following situations, please write out null and alternative hypotheses.

a. Assuming m = 100, do children who watch more than three hours of TV per day have significantly lower IQs?

b. Assuming m = 100, a cognitive psychologist would like to know if the IQs of children who play outside at least three days a week are different from that of the population.

c. Assuming m = 50, write out the null and a non-directional alternative hypothesis.

Answer 1

a) Assuming m = 100, do children who watch more than three hours of TV per day have significantly lower IQs.

Null hypothesis : Children who watch TV three hours per day have IQ level 100 , m = 100

Mathematically, Ho : m = 100

Alternate hypothesis : Children who watch more than three hours of TV per day have significantly lower IQ, m < 100

Mathematically, Ha : m < 100

b) Assuming m = 100, a cognitive psychologist would like to know if the IQs of children who play outside at least three days a week are different from that of the population.

Null hypothesis : Children who play outside less than three days a week have IQ level 100 , m = 100

Mathematically, Ho : m = 100

Alternate hypothesis : Children who play outside at least three days a week have different different IQ level than 100

Mathematically, Ha : m 100

c) Assuming m = 50, write out the null and a non-directional alternative hypothesis.

Null hypothesis : Variable m takes a value 100 , m = 100

Mathematically, Ho : m = 100

Alternate hypothesis : Variable m takes a value other than 100

Mathematically, Ha : m 100