CONFIDENCE INTERVAL PROJECT – Day 3
On this sheet, you will be calculating 95% Confidence Intervals for your data. Fill in all of the values for each piece, the formula, then show the full calculation for the CI. Write the CI in 2 different ways:
In + notation
In interval notation: ( ________ , ________ )
When you record standard deviation- round to the nearest tenth.
Use the back of this sheet if extra space is needed.
PROPORTION CONFIDENCE INTERVAL:
p-hat = 11/30=.37
n = 30
z* =
Formula used:
Calculations:
95% Confidence Interval in both forms:
MEAN CONFIDENCE INTERVAL
x-bar =
s =
n =
z* =
Formula used:
Calculations:
95% Confidence Interval in both forms:
DATA TO USE TO ANSWER THOSE QUESTIONS:
Write out your question exactly as you will ask it to your sample. For example, “Do you have red hair, YES or NO?” Your question will most likely be a YES/NO question.
Question: Do you play fortnite?
Ask your question to at least 30 people. Be creative with this! You can set up a Facebook poll, Instagram poll, text friends, call friends, ask family/roommates, etc. Record their responses here as tallies:
5 5 1
Yes: IIIII IIIII I
No: IIIII IIIII IIIII IIII
5 5 5 4
Calculate the proportion of people who answered YES. Show your work below:
11/30 = 37%
What symbol would you use to represent that value? p Is it a statistic or parameter?
(Circle one) PARAMETER
MEAN CONFIDENCE INTERVAL
Write out your question exactly as you will ask it to your sample. For example, “How much do you weigh?”
Question: How many times a day on average do you play fortnite?
Ask your question to at least 30 people and record your results here.
0, 5, 2, 0 , 3 ,
1, 0 , 0, 7, 2,
0, 2, 0 , 0, 0,
4, 3, 0, 5, 2,
6, 0, 0, 2, 3,
0, 6, 2, 0 , 4
Calculate the average of your sample. Show your work below:
59/30= 1.96
The confidence interval for the population proportion is given by
Here for 95% confidence
Hence,
So the interval is
In interval notation we have
For the population mean confidence interval is given by
Here,
for 95% confidence
Hence ,
So the interval is
That is
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