The Result of a Hypothesis Is Described in Terms of the Probability

Essay

The result of a hypothesis is described in terms of the probability of obtaining a particular sample. Use the given contextto formulate the null and alternative hypotheses. Discuss whether the sample provides evidence for rejecting the nullhypothesis.
-In the city of Heathville, the proportion of births that are by Caesarean section is $0.23$ (23\%). A small private hospital claims that at their hospital, the proportion of Caesarean births is lower. In a random sample of 120 births at the private hospital, the proportion of Caesarean births was $0.18$ .
Assuming that the true proportion of Caesarean births at the private hospital is $0.23$ , the probability of selecting a sample in which the proportion of Caesareans is $0.18$ or less is roughly $0.09$ .