binomial distribution - year 1

what functions will only work on the calculator for binomial?

less than or equal to

e.g

P(X < or equal to a)

what is the general formula to turn this into an acceptable form for the calc

rewrite this into a suitable form for calc

what is the general formula to turn this into an acceptable form for the calc

what is the general formula to turn this into an acceptable form for the calc

rewrite this into a suitable form for calc

rewrite the following in terms of a do they fit the calculator

when do u use C.D and what do u use P.D on calculator

P.D = is when it is an equal sign within the brackets, e.g P(X=a)

C.D is when it is an inequality (has to be less than-or-equal to symbol)

in stats, what do u round to?

is it in terms of sig fig or dp

4 decimal places

write a general binomial model, and say what each is

where:

n = number of trials

p = probability of success

when is a binomial used? (conditions for a binomial to be used)

what is symbol for null hypothesis

H₀:

(must use colon and not = )

what is symbol for alternate hypothesis

H₁:
(must use colon and not =)

when doing hypothesis testing, what do we assume to be true

H₀

what do u do to significance level if 2 tailed test

halve the significance level

when dealing with a 2 tailed test, do u have to find both upper and lower tail, or just 1? (which do i recommend)

just one

better to do just lower

if the value we get is lower than the significance level, do we accept H₁ or H₀

we accept H₁

what is p value for a 1 tailed test

the value we calculated as is

when u have to find critical regions, (and ur using the table), what steps do u do for the upper tail

find the first value that satisfies (1- significance lvl)

and then just add 1 onto this number/value

if not finding critical regions from table, what do u do?

• find out what the value would be if true (lets say 50 trials, and 0.3 success, then the value would be 15)

• then compare if this is greater or lower than the acc value that happened

• if the inequality will become less than and equal to, then just find the first value that is below the significance level by using the C.D

• if the inequality would become greater than and equal to, then find the first value that is greater than (1-significance lvl), by using the CD and then add 1 to this value

what do u do if u have found the critical region for an upper tail, but they want the acc SL

u write it in the form P(X less than or equal to critical value). basically rewrite it in a clc acceptable form, and then solve the equation (by minusing 1 then flipping sign)

when finding critical region for a 2 tailed test, how many regions will there be?

2 regions

1 upper

1 lower

how do u find ASL for 2 tailed test?

the probability of the individual critical regions and then sum them