You have a couple things to worry about this weekend, and these may be our last 2 graded assignments of the quarter (other than homework and stamps). So these will have an important impact on your grade.
1. Vocab Test Monday! Study, study, study! Here's the list of words:
Sampling Distribution, Central Limit Theorem, Standard Error, 10% Condition-->independence, Randomization-->generalization, Success Failure-->large enough sample (for Normal Model), Confidence Interval, Margin of Error, Critical Value, Null Hypothesis--what we assume to be true, Alternative Hypothesis, One vs. Two Tailed Test, PValue, One Proportion ZTest, One Proportion ZInterval, Proportion (used for categorical data), Mean (used for quantitative data), p vs. p hat, xbar vs. mu, Alpha Level, Statistical Inference, Interpret CI vs. meaning of _% confidence, Sampling Variability, Population Parameter, Sample Statistic, Sample Size, 2 proportion z-test, 2 proportion z-interval
2. Take Home Quiz Due Monday! The questions are below (in case you lost it):
1.) Among 242 randomly selected Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 randomly selected children of normal birth weight, 83% were high school graduates.a.) Verify that the conditions for a 2 Proportion Z Interval are met. (4 points)
b.) Create a 95% confidence interval for the difference in graduation rates between children of normal and very low birth weights. (4 points)
c.) Interpret the meaning of your interval, in context. (4 points)
d.) Based on your interval above, do you believe there is a significant difference in the proportion of normal and low birth weight babies who graduate? Explain your reasoning. (2 points)
2.) Using an appropriate hypothesis test, determine if there is a statistically significant difference between graduation rates of normal and low birth weight babies. (We’ll skip the conditions since they’ve been checked above).
a.) State your null and alternative hypotheses, using appropriate notation. (3 points)
b.) Find the z-score and then your p-value. Show a sketch of a Normal model with the p-value shaded and labeled. (4 points)
c.) What do you conclude based on the p-value calculated above? (4 points)
3. Among 242 Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 children of normal birth weight, 83% were high school graduates.
a.) Based on this scenario regarding premature children explain what Type I error would be and name one consequence. (4 points)
b.) Based on this scenario regarding premature children explain what Type 2 error would be and name one consequence. (4 points)
c.) Based on your answers above, would you prefer a higher (10%) or lower (1%) alpha level? Explain your reasoning. (2 points)
3. Stamps are due on Wednesday/Thursday! (you need 20)
Enjoy your weekend and I'll see you Monday!
Thursday, March 28, 2013
Wednesday, March 27, 2013
Wednesday HW
Only 1 more school day of this short week! Tomorrow (Thursday) in class we'll do some practice with the 2 proportion z tests/intervals.
Tonight, please complete the following in your textbook:
Page 509: 11, 15, 19, 21
*Feel free to skip the conditions for 19,21*
Course Announcements:
Tonight, please complete the following in your textbook:
Page 509: 11, 15, 19, 21
*Feel free to skip the conditions for 19,21*
Course Announcements:
- Vocab Test is MONDAY.
- Take home quiz is due Monday (I'll post it online tomorrow)
- Stamps are due next Thursday! (you need 20)
Tuesday, March 26, 2013
Monday, March 25, 2013
2 Proportion Z Intervals!
We're onto chapter 22! We'll finish this all before the end of the week, and you will likely have a take home quiz this (3 day) weekend.
Tonight, please complete the following in your textbook:
Page 507: 1, 3, 4, 5
Also, we have a vocab test on inference for proportions this Thursday! Study!
***Period E***
Since we had our fire drill here's your modified homework:
1abcde (for e try to use your graphing calculator to find the interval and answer this question)
3ab (on calculator) d
4ab (on calculator) d
5ab (on calculator)
In other words, just find all the confidence intervals with your calculator and skip the intepretations.
Tonight, please complete the following in your textbook:
Page 507: 1, 3, 4, 5
Also, we have a vocab test on inference for proportions this Thursday! Study!
***Period E***
Since we had our fire drill here's your modified homework:
1abcde (for e try to use your graphing calculator to find the interval and answer this question)
3ab (on calculator) d
4ab (on calculator) d
5ab (on calculator)
In other words, just find all the confidence intervals with your calculator and skip the intepretations.
Friday, March 22, 2013
Weekend HW!
Hopefully you're feeling confident about the test today! We'll see! (Don't stress!)
Get a 100% on the take home quiz! Use your notes!
Here are the take home quiz questions in case you forgot/lost/didn't get them (each @ 2 points):
1. What is the null hypothesis? What is the alternative hypothesis? (explain what each is, don’t simply provide “Ho” and “Ha”).
2. What are the four components of conducting a hypothesis test? In other words, what are the four steps to this process?
3. What is the difference between a one-sided test and a two-sided hypothesis test?
4. What are the conditions for inference for a hypothesis test for proportions?
5. Define p-value.
6. How do we determine if we reject the null hypothesis? If we fail to reject the null hypothesis? (Reference p-value and significance level).
7. What mathematics (work) do we need to show in obtaining our p-value?
Get a 100% on the take home quiz! Use your notes!
Here are the take home quiz questions in case you forgot/lost/didn't get them (each @ 2 points):
1. What is the null hypothesis? What is the alternative hypothesis? (explain what each is, don’t simply provide “Ho” and “Ha”).
2. What are the four components of conducting a hypothesis test? In other words, what are the four steps to this process?
3. What is the difference between a one-sided test and a two-sided hypothesis test?
4. What are the conditions for inference for a hypothesis test for proportions?
5. Define p-value.
6. How do we determine if we reject the null hypothesis? If we fail to reject the null hypothesis? (Reference p-value and significance level).
7. What mathematics (work) do we need to show in obtaining our p-value?
Thursday, March 21, 2013
STUDY!
Study tonight! Tomorrow's test is a big deal! 70 points! Make me proud!
If you'd like, here are some review questions you can use to study for the test. These questions pretty much summarize everything you need to know for tomorrow:
Mr. Carofano plans to estimate the true percentage of EHHS underclassmen who plan to take AP Statistics. He takes a sample of 120 underclassmen, and 29 of them plan to take AP Statistics. Based on past data, it is believe that approximately 10% of underclassmen take AP Statistics.
1. Verify that the conditions for inference are satisfied.
2. Calculate the margin of error for this sample (98% confidence).
3. Estimate the true percentage of underclassmen who plan to take AP Stat using a 98% confidence interval.
4. Interpret the meaning of this interval.
5. Explain the meaning of “98% confidence.”
6. How can Mr. Carofano narrow the width of his interval? What would cause the interval to widen?
7. Based on your interval, do you believe the percentage of underclassmen who plan to take AP Stat has risen?
8. Is there significant evidence to suggest that the percentage of underclassmen taking AP Stat is rising? Conduct and appropriate test at the 5% level of significance. (hypotheses, conditions, math, conclusion).
9. Explain the meaning of the p-value, in context.
10. If the percentage of students in AP Statistics has risen, more sections of the course will be offered and another teacher will be hired. If not, there will only be 3 classes offered.
a. Identify the meaning of a Type I and Type II error in context.
b. Identify a consequence of each.
11. The probability of a Type I error is 5%, and the probability of a Type II is 15%. Calculate the power.
12. Explain the meaning of the power of this test, in context.
13. If Mr. Carofano wants a margin of error of only 4%, what sample size should be used (at 98% confidence)?
If you'd like, here are some review questions you can use to study for the test. These questions pretty much summarize everything you need to know for tomorrow:
Mr. Carofano plans to estimate the true percentage of EHHS underclassmen who plan to take AP Statistics. He takes a sample of 120 underclassmen, and 29 of them plan to take AP Statistics. Based on past data, it is believe that approximately 10% of underclassmen take AP Statistics.
1. Verify that the conditions for inference are satisfied.
2. Calculate the margin of error for this sample (98% confidence).
3. Estimate the true percentage of underclassmen who plan to take AP Stat using a 98% confidence interval.
4. Interpret the meaning of this interval.
5. Explain the meaning of “98% confidence.”
6. How can Mr. Carofano narrow the width of his interval? What would cause the interval to widen?
7. Based on your interval, do you believe the percentage of underclassmen who plan to take AP Stat has risen?
8. Is there significant evidence to suggest that the percentage of underclassmen taking AP Stat is rising? Conduct and appropriate test at the 5% level of significance. (hypotheses, conditions, math, conclusion).
9. Explain the meaning of the p-value, in context.
10. If the percentage of students in AP Statistics has risen, more sections of the course will be offered and another teacher will be hired. If not, there will only be 3 classes offered.
a. Identify the meaning of a Type I and Type II error in context.
b. Identify a consequence of each.
11. The probability of a Type I error is 5%, and the probability of a Type II is 15%. Calculate the power.
12. Explain the meaning of the power of this test, in context.
13. If Mr. Carofano wants a margin of error of only 4%, what sample size should be used (at 98% confidence)?
Wednesday, March 20, 2013
Wednesday!
Almost to our test!
*It turns out my meeting is at 3:30 tomorrow, so I can stay until like 2:50 if you have questions...*
Tonight, please complete the following (and start studying!)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow
Here are the review questions we looked at after school:
Mr. Carofano plans to estimate the true percentage of EHHS underclassmen who plan to take AP Statistics. He takes a sample of 120 underclassmen, and 29 of them plan to take AP Statistics. Based on past data, it is believe that approximately 10% of underclassmen take AP Statistics.
1. Verify that the conditions for inference are satisfied.
2. Calculate the margin of error for this sample (98% confidence).
3. Estimate the true percentage of underclassmen who plan to take AP Stat using a 98% confidence interval.
4. Interpret the meaning of this interval.
5. Explain the meaning of “98% confidence.”
6. How can Mr. Carofano narrow the width of his interval? What would cause the interval to widen?
7. Based on your interval, do you believe the percentage of underclassmen who plan to take AP Stat has risen?
8. Is there significant evidence to suggest that the percentage of underclassmen taking AP Stat is rising? Conduct and appropriate test at the 5% level of significance. (hypotheses, conditions, math, conclusion).
9. Explain the meaning of the p-value, in context.
10. If the percentage of students in AP Statistics has risen, more sections of the course will be offered and another teacher will be hired. If not, there will only be 3 classes offered.
a. Identify the meaning of a Type I and Type II error in context.
b. Identify a consequence of each.
11. The probability of a Type I error is 5%, and the probability of a Type II is 15%. Calculate the power.
12. Explain the meaning of the power of this test, in context.
13. If Mr. Carofano wants a margin of error of only 4%, what sample size should be used (at 98% confidence)?
*It turns out my meeting is at 3:30 tomorrow, so I can stay until like 2:50 if you have questions...*
Tonight, please complete the following (and start studying!)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow
Here are the review questions we looked at after school:
Mr. Carofano plans to estimate the true percentage of EHHS underclassmen who plan to take AP Statistics. He takes a sample of 120 underclassmen, and 29 of them plan to take AP Statistics. Based on past data, it is believe that approximately 10% of underclassmen take AP Statistics.
1. Verify that the conditions for inference are satisfied.
2. Calculate the margin of error for this sample (98% confidence).
3. Estimate the true percentage of underclassmen who plan to take AP Stat using a 98% confidence interval.
4. Interpret the meaning of this interval.
5. Explain the meaning of “98% confidence.”
6. How can Mr. Carofano narrow the width of his interval? What would cause the interval to widen?
7. Based on your interval, do you believe the percentage of underclassmen who plan to take AP Stat has risen?
8. Is there significant evidence to suggest that the percentage of underclassmen taking AP Stat is rising? Conduct and appropriate test at the 5% level of significance. (hypotheses, conditions, math, conclusion).
9. Explain the meaning of the p-value, in context.
10. If the percentage of students in AP Statistics has risen, more sections of the course will be offered and another teacher will be hired. If not, there will only be 3 classes offered.
a. Identify the meaning of a Type I and Type II error in context.
b. Identify a consequence of each.
11. The probability of a Type I error is 5%, and the probability of a Type II is 15%. Calculate the power.
12. Explain the meaning of the power of this test, in context.
13. If Mr. Carofano wants a margin of error of only 4%, what sample size should be used (at 98% confidence)?
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