Historically, 45% of seedlings of a certain variety survive their first winter. A horticulturist believes that a new treatment increases this proportion and tests a random sample of 32 treated seedlings at the 5% significance level. The random variable X X\,X is the number that survive.
Find the least value of X X\,X for which the null hypothesis would be rejected.
Find the actual significance level of a test based on this critical region.
In the sample, 21 seedlings survive. State the conclusion of the test in context.