Transcript Warm-up 8.2 Testing a Proportion (Day 2)

Warm-up
8.2 Testing a Proportion (Day 2)
8.2 Components of Significance Test (Day 2)
Type I and Type II Errors next block!
The steps to go through for a significance test.
Problem 1: A large city’s Dept. of Motor Vehicles claimed
80% of candidates pass the driving test, but newspaper
reports of 90 randomly selected local teens who had taken
the test only 60 passed.
Go through the 4 steps to determine if the proportion of
teens that passed the reported by the newspaper was
statistically significant.
Problem 1: A large city’s Dept. of Motor Vehicles claimed
80% of candidates pass the driving test, but newspaper
reports of 90 randomly selected local teens who had taken
the test only 60 passed.
STEP 1: Check the 3 conditions then give the name
of the test you are about to perform.
STEP 2: State the hypothesis. (Null and possible
Alternative Hypothesis)
Problem 1: A large city’s Dept. of Motor Vehicles claimed
80% of candidates pass the driving test, but newspaper
reports of 90 randomly selected local teens who had taken
the test only 60 passed.
STEP 3: Calculate the critical value, test statistic and p-value.
*Demonstrate these with a sketch of the distribution curve
as well!
STEP 4: Write a conclusion. Include an explanation of the pvalue in context and in the format of a ratio.
Problem 2
Advances in medical care such as prenatal ultrasound
examination now makes it possible to determine a child’s sex
early in the pregnancy. A study from Punjab, India reports
that, in 1993, one hospital reported 56.9% boys in 550 live
births. It’s a medical fact that male babies are slightly more
common than female babies. The baseline is 51.7%
boys in all live births.
STEP 1: Check the 3 conditions then give the name of the
test you are about to perform.
A study from Punjab, India reports that, in 1993, one hospital
reported 56.9% boys in 550 live births. It’s a medical fact that
male babies are slightly more common than female babies.
The baseline is 51.7% boys in all live births.
STEP 2: State the hypothesis. (Null and possible Alternative
Hypothesis)
STEP 3: Calculate the critical value, test statistic and p-value.
*Demonstrate these with a sketch of the distribution curve as well!
STEP 4: Write a conclusion.
Now and next block!!!
Now: Complete both sides of the Inference for
Proportions Worksheet
Re-read notes. Know vocabulary, formulas and
the steps for completing a significance test.
Next block: We will review the answers to the
Inference Proportions Worksheet
• We will be going over the two types of errors.
• There will be a quiz on 8.1 and 8.2 (excluding the
information on the two types of errors)