Type 1&2 Errors
Type 1 error
What is reject the Ho, and Ho is true.
Normality for Propotions
What is Large Counts.
Normality for Means
What is CLT
Who is on the door
What is Snoopy
Type 2 Error
What is fail to reject the Ho and Ho is false.
When should you use a 2 Proportion Z test
What is when you want to compare the proportions of a binary outcome from two groups.
When do you use 2 sample t-test
What is to compare the average of a quantitative variable between two independent groups or populations
The best math teacher
What is Mrs. Murphy
We increase Alfa, Beta...
What is decrease.
A company wants to know if its peppermint cookies are more popular during Christmas than its chocolate cookies.
Let Pp represent peppermint sales, let Pc represent chocolate sales. Wright Null and Alternative.
Ho: Pp=Pc
Ha: Pp>Pc
Mrs. Claus is concerned for her husband's health and thinks sugar cookies(Ms) have more calories than gingerbread cookies(Mg).
What are the Ho and Ha
Ho: Ms=Mg
Ha: Ms>Mg
Best math class
What is Statistics
Power
What is how far the truth lies from the null hypothesis.
Santa believes the proportion of presents bought in the North Pole (Pn) is greater than the proportion of presents bought in the South Pole (Ps).
Ho: Pn-Ps=0
Ha: Pn-Ps>0
Equation for t
t=((x̄1-x̄2)-0)/
√(s12/n1)+(s22/n2)
Best candy
What is Snickers
Ho: He is innocent
Ha: He is guilty
A man was convicted of murder, but is innocent.
What is Type 1 error
Santa wonders if more people leave out cookies for him in North America than in Europe. He randomly selected 1000 homes from North America and found only 943 had left out cookies, and 950 homes from Europe and only 801 had left out cookies. At a 5% level, is there evidence to show more people leave out cookies in North America than in Europe?
Ho: Pa=Pe
Ha: Pa>Pe
Z=7.169
P=3.765x10-13
Assume the Ho is true. Since P<α, we reject the Ho. There is significant evidence to show that more people leave out cookies for Santa in North America than in Europe.
Santa wants to test if his new elf training program is faster than the old one. He takes a random sample from each program and tests the time it takes to make a toy.
program 1 n=35 x̄1=2.45 sec. Sd=1 sec.
program 2 n=43 x̄2=2.01 sec. Sd=.30 sec.
Ho: M1=M2
Ha: M1=M2
t=2.513
p=.008
Assume Ho is true. Since p<a, we reject the Ho. There is sufficient evidence to show that program two is more effective than program one.
What goes up a chimney down but not down a chimney up
What is unbrela