Question

Refer to the data given in Exercise 1 and assume that the requirements are all satisfied and we want to conduct a hypothesis test of independence using the methods of this section. Identify the null and alternative hypotheses.

Short answer

The hypotheses:

\({\rm{Null}}\left( {{H_0}} \right):\)Thehandedness and cell phone ear preference are independent of each other.

\({\rm{Alternative}}\left( {{H_1}} \right):\) The handedness and cell phone ear preference are dependent on each other.

Step-by-step solution

Given information

The data for two variables,ear preference and handedness for using the cell phone is provided.

Assume that all the requirements for conducting the test for independence are satisfied.

Refer to exercise 1 for the data as,

	Right Ear	Left Ear	No Preference
Right-Handed	436	166	40
Left-Handed	16	50	3

State the procedure to identify the hypotheses

The hypotheses always appears in pair of two; null and alternative.

A null hypothesis is the base hypothesis which is expressed for a no change assumption while the alternative hypothesis describes the change.

Thus, a null hypothesis is always expressed with an equal to sign, if expressed mathematically.

State the null and alternate hypothesis

The claim requires to test for independence of two variables; handedness and ear preference.

Thus, the hypotheses are formulated as follows:

\({\rm{Null}}\left( {{H_0}} \right):\)Thehandedness and cell phone ear preference are independent of each other.

\({\rm{Alternative}}\left( {{H_1}} \right):\) The handedness and cell phone ear preference are dependent on each other.