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47 Cards in this Set

  • Front
  • Back

Which hypothesis {Ho or Ha} are we trying to prove in a HT?

Ha

If we have better evidence for Ha than for Ho, does that mean that Ho will probably be rejected?

no

If Ho is true what is the probability that you will reject it by mistake?


If Ho is not true what is the probability that you mistakenly not reject it?


unknown

What is the total area of the rejection region in a HT?

If you mistakenly reject Ho, what type of error is it?

type I


If you mistakenly don’t reject Ho, what type of error is it?

type II

What is the chance of making a type I error?

What is the chance of making a type II error?

unknown


What is the notation for the significance level?


What is the notation for the total area of the rejection region?

Generally speaking which type of error is more important to keep small?


type I

At the beginning we always assume what about Ho?


it is true

The pictures we draw in a HT show how the sample statistic would be distributed assuming __________.

Ho is true

The pictures we draw in a HT show how ___________ would be distributed assuming Ho it true.


the sample statistic


The edge(s) of the rejection region(s) are called what?

critical values

Are the critical value(s) found by a table or calculation in this class?

table

The standardized number of the statistic(s) related to the parameter(s) in Ho is called what?

test statistic

Is the test statistic found by a table or calculation?

calculation

What is the p-valuein everyday terms?


assuming Ho is true it is the chance of findingas strong or stronger evidence than we got that Ho is not true

In a right-hand tail the p-value is the area to the ________ of the test statistic. This is because this area represents the chance of getting stronger evidence against Ho, assuming Ho is true.


right

In a right-hand tail the p-value is the area to the right of the test statistic. This is because this area represents the chance of getting _________________ evidence against Ho, assuming Ho is true.

stronger

In a right-hand tail the p-value is the area to the getting of the test statistic. This is because this area represents the chance of getting stronger evidence against Ho, assuming Ho is _______.

true

In order to reject Ho, the p­-value must be what compared to the significance level?

less

Which casts more doubt on Ho, a small p-value or a large p-value?

small

Gosset came up with the t distributions by trying to make what product have a high quality?

beer

Suppose you have a large sample and use z in place of t will the difference be that noticeable?

no

Suppose you have a small sample and use z in place of t will the difference be that noticeable?

yes

What is the area under a t curve?

1

What distribution is a t with an infinite degrees of freedom?

z

When using the z or t why do we not really care about the normality of the data for large sample sizes?


Central Limit Theorem


40

t with 15 degrees of freedom

For HTs and CIs for comparing means from two independent samples, if you knew the population standard deviations what distribution would you use?

z

When comparing two means, we use what arithmetic operation to compare them?

subtraction

What is the notation for the sample proportion?


p’

What is the notation for the population proportion?

p

If the data is random what is the best guess for p?


p’

To figure the sample size, n, needed for a CI for a proportion, you are safe to use p and q to be ______, this makes n the largest and if n is too large then the margin of error will be even smaller than what was asked for?


0.5

To figure the sample size, n, needed for a CI for a proportion, you are safe to use p and q to be 0.5, this makes n the largest and if n is too large then the margin of error will be even ­­­_________ than what was asked for?


smaller

To figure the sample size, n, needed for a CI for a proportion, if you have a reasonable valuefor p’ and use it then you CI mayhave a margin of error a little too big, but your sample size will be ________making collecting the data easier.

smaller

Suppose p= .40. What is the approximate shape ofthe distribution of p’ for samples ofsize 200?


normal

Suppose p= .40. What is the mean of thedistribution of p’ for samples ofsize 200?

.40


Suppose p= .40. What is the standard deviation ofthe distribution of p’ for samples ofsize 200?

When comparing two proportions, we use what arithmetic operation to compare them?


subtraction

Are the t distributions symmetric?


yes