A national survey stated that 30% of the population prefers to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink and 15% prefer some other color. A statistics professor took a random sample of 80 students and asked them to state their ink color preference. The following data was recorded: Test whether the data agrees with the percentages stated in the national survey.
Compute the value of the test statistic.
What is ?
______________
Set up the appropriate rejection region for = 0.05
Reject when ______________.
What is the appropriate conclusion?
We conclude that the data ______________ with the national survey.

Question

A national survey stated that 30% of the population prefers to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink and 15% prefer some other color. A statistics professor took a random sample of 80 students and asked them to state their ink color preference. The following data was recorded:  Test whether the data agrees with the percentages stated in the national survey.
Compute the value of the test statistic.
What is  ?
______________
Set up the appropriate rejection region for  = 0.05
Reject  when  > ______________.
What is the appropriate conclusion?
We conclude that the data ______________ with the national survey.

Quizplus · Accepted Answer

The Answer of A national survey stated that 30% of the population prefers to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink and 15% prefer some other color. A statistics professor took a random sample of 80 students and asked them to state their ink color preference. The following data was recorded:  Test whether the data agrees with the percentages stated in the national survey.
Compute the value of the test statistic.
What is  ?
______________
Set up the appropriate rejection region for  = 0.05
Reject  when  > ______________.
What is the appropriate conclusion?
We conclude that the data ______________ with the national survey.

A National Survey Stated That 30% of the Population Prefers