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B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN!!! 1) Get homework and check it over NEAT IDEA!! 2) Lesson one prop ztest with a CI backup 3) Assign # 81 p 471/ 23, 29 (ignore book do a hyp. test and a CI backup)
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AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

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Page 1: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

AP Statistics for Tuesday 1/12/16

FIRST, GET LU STUFF IN!!!

1) Get homework and check it over

     NEAT IDEA!!

2) Lesson ­ one prop z­test with a CI backup

3) Assign # 81

   p 471/ 23, 29 (ignore book­ do a hyp. test

       and a CI backup)

Page 2: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

confidence intervals....

p̂ Ho

If you Reject Ho, then CI does NOT 

contain Ho. do not capture Ho

Page 3: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

confidence intervals....

p̂ Ho

If you Fail to Reject Ho, then CI 

does contain Ho. capture Ho

Page 4: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

p̂Ho

Page 5: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

p 472 #26

HYPOTHESES:

Page 6: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

ASSUMPTIONS:

plausible indep cond­

randomized cond­

10% cond­

success/failure cond­

Page 7: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

STATS:   n=

   x =

  p =

p =

^

Page 8: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

FORMULA: GRAPH:

Page 9: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

CONF INT:

GRAPH CI:

Page 10: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

Conclusion:

_____________. We ________ sufficient 

evidence to support the claim that _______

___________________________________.

In samples of similar size, we would expect

results more extreme than observed about

______ times out of _______ due to sheer

random chance alone. This _______

statistically significant.

Page 11: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

We are ____ confident that the true

population proportion of ______________

_________________ lies between ______

and ______. We estimate true population

proportion to be _______  a margin of

error of ______.  Since our interval _______ capture _________ (the value 

held in Ho, then it backs up our claim to

________.

Page 12: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

Note this.....

When you reject Ho­

always start your CI's at 99% and

work your way down (95%, then 90%)

to make sure rejecting Ho agrees with 

CI information

When you fail to reject Ho­

always use 99%

Page 13: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

p 472 #25

HYPOTHESES:

Page 14: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

ASSUMPTIONS:

plausible indep cond­

randomized cond­

10% cond­

success/failure cond­

Page 15: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

STATS:   n=

   x =

  p =

p =

^

Page 16: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

FORMULA: GRAPH:

Page 17: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

CONF INT:

GRAPH CI:

Page 18: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

Conclusion:

_____________. We ________ sufficient 

evidence to support the claim that _______

___________________________________.

In samples of similar size, we would expect

results more extreme than observed about

______ times out of _______ due to sheer

random chance alone. This _______

statistically significant.

Page 19: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

We are ____ confident that the true

population proportion of ______________

_________________ lies between ______

and ______. We estimate true population

proportion to be _______  a margin of

error of ______.  Since our interval _______ capture _________ (the value 

held in Ho, then it backs up our claim to

________.

Page 20: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016

NOTE:  Always start your CI off at 99% and

work your way down from there (95% then 

90%) to get your CI to match your Reject

 conclusion!!!

Fail to reject simply use 99%

Page 21: AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF IN ... · B Day CI Backup with One Prop z test.notebook January 12, 2016 AP Statistics for Tuesday 1/12/16 FIRST, GET LU STUFF

B Day CI Backup with One Prop z test.notebook January 12, 2016