Which of the following is false?

(a) A chi-square distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k + 1 degrees of freedom.

(b) A chi-square distribution never takes negative values.

(c) The degrees of freedom for a chi-square test is determined by the sample size.

(d) P(c2 > 10) is greater when df = k + 1 than when df = k.

(e) The area under a chi-square density curve is always equal to 1.