For a chi-square goodness-of-fit test based on a 6x5 contingency table, the test statistic is 33.3244. What is the approximate p-value of the test?

A random sample of size 36 taken from a normally distributed population revealed a sample mean of 72 and a sample variance of 49. The upper limit of a 99% confidence interval for the population mean would equal:

A left-tailed area in the chi-squared distribution equals 0.05. What is the chi-squared table value based on 13 categories?

A union composed of several hundred technical employees is preparing to vote on a new contract. Due to minor differences in opinions of employees in two important issues, it is expected that the new contract will receive more than 2.5% over the 50% "Yes" votes. A random sample of 480 employees yielded 270 who planned to vote yes. What is the approximate p-value for the appropriate test regarding the new contract?