1.Researchers want to test the effects of a new weight loss program. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to either the treatment or control group. Which of the following would be t...
1.Researchers want to test the effects of a new weight loss program. They believe that gender
is a significant factor. The participants are divided by gender. Then, within each group,
participants are randomly assigned to either the treatment or control group.
Which of the following would be the most effective to test the effects of the new weight loss
program?
A completely randomized design experiment
A longitudinal observational study
A randomized block design experiment
A matched-pair design experiment
RATIONALE
Since people are first put into gender and then are assigned treatment or control randomly this
is called a randomized block design.
CONCEPT
Randomized Block Design
2
Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He
defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for
females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as
people who smoke regularly.
What is the standard error for the sample proportion? Answer choices are rounded to the
thousandths place.
2 .818
, STAT_200_Introduction_to_Statistics_Final
0.112
0.013
2.778
RATIONALE
We can note the SE of the proportion is .
If we note that , which means .
So if we take all this information we can note SE = .
CONCEPT
Calculating Standard Error of a Sample Proportion
3
A pizza owner asked 50 customers to taste a new type of topping and found that 40 people
liked its taste.
Which of these is an example of descriptive statistics?
80 % of all the pizza shop's customers like the taste of the pizza topping.
80% of the people in the city where the pizza shop is located like the taste of the pizza
topping.
80 % of the surveyed customers like the taste of the pizza topping.
80 % of all people like the taste of the pizza topping.
RATIONALE
Recall a descriptive statistic is a summary figure which uses the sample information at hand.
Using the sample information we know 40 of 50 people or 80% like the taste of the pizza
topping.
CONCEPT
Statistics Overview
, STAT_200_Introduction_to_Statistics_Final
4
A superintendent of a school district conducted a survey to find out the level of job satisfaction
among teachers. Out of 53 teachers who replied to the survey, 13 claim they are satisfied with
their job.
The superintendent wishes to construct a significance test for her data.
She finds that the proportion of satisfied teachers nationally is 18.4%. What is the z-statistic for
this data? Answer choices are rounded to the hundredths place.
2.90
1.24
0.61
1.15
RATIONALE
To make things a little easier, let's first note the denominator
We can now note that
Finally, subbing all in we find
CONCEPT
Z-Test for Population Proportions
5
Select the following statement that describes overlapping events.
Amanda rolls a three when she needed to roll an even number.
Amanda understands that she cannot get a black diamond when playing poker.
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