degrees of freedom

The test statistic used to test hypotheses about the population variance is given by Χ2 = (n - 1)s2 / σ2, which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to σ2.
True
False
If we have some idea about the value of sample proportion p-hat , we use that value in determining thesample size needed to estimate the population proportion p.
True
False
In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion p-hat, we:
Select one:
a. take two more samples and average p-hat
b. let p-hat=0.5
c. take another sample and estimate p-hat
d. let p-hat=0.05 (the default α)
A sports preference poll showed the following data for adults and children:
Favorite Sport

Gender

Baseball

Soccer

Rugby

Hockey

Archery

Adults

24

17

30

18

22

Children

21

20

22

12

28
Use the 5% level of significance and test to determine whether sports preferences depend on age group. (hint: this is a table and not a raw data). What is the p-value?
Select one:
a. 0.509
b. 0.187
c. 0.05
d. 0.09