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Unformatted text preview: hw.prop.CI.Hypo.pVal.STS.doc
PROP: Hypo&CI&pVal&STS
10/19/10
created 03/21/10 Place on each page: [1] Your CLASS ID at the top right and your course (like “385”), then your name.
Hand in BEFORE YOU SIT DOWN  EVEN IF I'M LECTURING . After you sit down or after class it will
not count. If more than one page, they must be stapled for credit. No credit if torn edges.
1.
2.
3.
4 5. 5a.
5b.
5c.
5d.
5e.
6.
6a.
6b.
6c.
6d.
6e.
6f.
6g. 6h.
7.
7a.
7b. If you were using the t distribution (and the t table) for a 99% confidence interval with sample size of 25
(so df = 24), what is the t value that you would use for the CI?
If you were using the t distribution (and the t table) for a 50% confidence interval with sample size of 25
(so df = 24), what is the t value that you would use for the CI?
^
Explain how one would construct Sampling distribution of p . You may need to review online notes.
Assuming we are allowed to use the Normal distribution, fill this out, for the THEORETICAL values
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(symbols): p ~ N(_______, _________)
Rather than checking baggage, it is increasingly common for airline passengers to carry bags on board.
Suppose the population proportion of passengers who carry on their bags is 0.70 . We intend to take a
sample of 25.
What is the question being asked of passengers?____________________________________________
What is the symbol for the population proportion? ______
What is the symbol for the sample proportion? ______
Show working in deciding whether it is OK to use the Normal distribution as an estimate.
Compute the probability that the sample proportion will be greater than 0.55 . When you use a formula,
show the raw formula with symbols (no numbers). Draw a graph and label everything.
The population proportion of airline passengers checking baggage is unknown. A sample of 25 showed
that 16 intended to check their baggage. We'll construct a 95% confidence interval.
This is a CI for what (symbol)?_________
Write out the standard deviation (in symbols) we would prefer to use:_______________
Show working in deciding whether it is OK to use the Normal distribution as an estimate.
Write out the standard deviation (in symbols) that we must use_______________
Construct the 95% confidence interval. First show formula with symbols only. Show work. Use 3 decimal
places for the standard deviation.
State the interpretation of the CI.
Suppose we wish to test the hypothesis that the population proportion is at least 0.55 . Compute the
pvalue. Show all work including the raw formula with symbols (no numbers). No credit unless proper
subscripts are used everywhere. Use 3 decimal places for the standard deviation.
What is the decision based on this pvalue?
We'll test at α = 0.01 whether the population proportion of airline passengers checking baggage is at least
0.55 . A sample of 25 passengers showed 9 checked their baggage.
Determine whether it is OK to use the Normal distribution for this problem.
Hypothesis testing using the regular method: Show all work including the raw formula with symbols (no
numbers). No credit unless proper subscripts are used everywhere. Use 3 decimal places for the standard
deviation. Draw a graph and fill it out completely.
1.
State Hypotheses
2.
Determine critical value
3.
State decision rule
4.
State decision
5.
State conclusion 8.
8a.
8b. 8c. We'll test at α = 0.05 whether the population proportion of airline passengers checking baggage is at most
0.55 . A sample of 25 passengers showed 11 checked their baggage.
Determine whether it is OK to use the Normal distribution for this problem.
Hypothesis testing using the STS method: Show all work including the raw formula with symbols (no
numbers). No credit unless proper subscripts are used everywhere. Use 3 decimal places for the standard
deviation. Draw a graph and fill it out completely.
1.
State Hypotheses
2.
Determine critical value
3.
State decision rule
4.
State decision
5.
State conclusion
Use the results from the previous part to compute the pvalue. ...
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This note was uploaded on 01/19/2012 for the course GEOL 123 taught by Professor Kim during the Winter '11 term at Bowling Green.
 Winter '11
 kim

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