Write the missing complementary hypothesis exactly. Use mu for mean, p for proportion, sigma for std deviation, and sigma2 for variance. Use operators: =, , =, < or >. If H0: ρ = 0.62, then H1 is:

A proportion test has n = 80 and p = 0.08. Are the normal approximation conditions satisfied?

For a left-tail large-sample mean test with α = 0.01, which critical value is correct?

A right-tail test has critical value 1.645 and TS = 1.72. What is the correct test decision?

Find the large sample z critical value for a right-tail test with α = 0.05.

If the confidence level is 95%, what is alpha?

A proportion test has n = 25 and p = 0.80. Are the normal approximation conditions satisfied?

A two-tail proportion test uses α = 0.01. Which critical values are correct?

Which condition has a high NIV failure rate when moderate to severe?

A patient on VC ventilation has both increased PIP and increased plateau pressure. What does this suggest?