For the following pairs indicate which do not comply with th

For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.)

(a)    H0: = 16, Ha: = 16

This pair complies.

This pair does not comply because is not a population characteristic.

This pair does not comply because both hypotheses use an equal sign.

This pair does not comply because the two hypotheses use different numbers.

(b)    H0: p = 0.6, Ha: p > 0.8
This pair complies.

This pair does not comply because p is not a population characteristic.

This pair does not comply because both hypotheses use an equal sign.

This pair does not comply because the two hypotheses use different numbers.

(c)    H0: = 125, Ha: < 125
This pair complies.

This pair does not comply because is not a population characteristic.

This pair does not comply because both hypotheses use an equal sign.

This pair does not comply because the two hypotheses use different numbers.

(d)    H0: = 122, Ha: = 123
This pair complies.

This pair does not comply because is not a population characteristic.

This pair does not comply because both hypotheses use an equal sign.

This pair does not comply because the two hypotheses use different numbers.

(e)    H0: p = 0.1, Ha: p 0.1
This pair complies.

This pair does not comply because p is not a population characteristic.

This pair does not comply because both hypotheses use an equal sign.

This pair does not comply because the two hypotheses use different numbers.

Solution

(a)

This pair does not comply because both hypotheses use an equal sign.

(b)

This pair does not comply because the two hypotheses use different numbers.

(c)

This pair complies.

(d)

This pair does not comply because the two hypotheses use different numbers.

(e)

This pair does not comply because p is not a population characteristic.