Statistical Sciences 2244A/B Lecture Notes - Lecture 13: Simple Random Sample, Null Hypothesis, Combined Oral Contraceptive Pill
22 May 2018
School
Department
Professor
Stats 2244
Hypothesis Testing III
One sample test for mu
Scenario
- Suppose you are interested in the relationship between oral contraceptive use (OC use) and
blood pressure (BP) in women. OC users are commonly thought to have increased body weight
compared to non-OC users. High weight tends to be associated with high blood pressure.
- In words,
o Null hypothesis:
o Alternative hypothesis:
Study
One sample test for mu
- Conditions:
o Simple random sample
o Sampling distribution of Xbar is approx. normal
▪ X is normally distributed or
▪ n ≥ 50 (i.e CLT applies)
- test statistic
Do the test…
You should be able to…
- identify situations that require a one-sample hypothesis test for mu
- assess the conditions of validity for a one-sample hypothesis test for mu
- compute the appropriate test statistic, P-value, or related values from a one-sample hypothesis
test for mu
- draw correct conclusions from a hypothesis test
- understand the significance of type I and II errors, and recognize when they might occur (and
their consequences).
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