1 samp tests (ch 9 and 10) Flashcards

1
Q

What does a “significance level of .02” mean?

A

set alpha= .02 and reject only below that

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2
Q

What does statistically significant mean?

A

When you’re p value is below alpha, it is statistically significant. It was SO WEIRD, we rejected our initial hypothesis.

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3
Q

Can you accept a null hypothesis? Can you say “keep the null?”

A

Never accept a Ho, don’t keep the Null. simply “FAIL TO REJECT THE NULL”

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4
Q

Do you use p-hat or p-null when you check the success/failure condition?

A

use p null

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5
Q

How do you write conclusion if you reject?

A

With such a low p-value, I reject the null hypothesis. There is strong evidence that {the proportion of candles that smell like cheeseburgers) has changed.

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6
Q

If you are doing a 2 tailed test with alpha=.05.. What confidence interval goes with that?

A

95% confidence interval (there is .025 in each tail)

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7
Q

How do you write conclusion if you fail to reject?

A

With a p-value this high. I fail to reject the null. There is not enough evidence to say that (more students like eggnog now).

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8
Q

What is a p-value?

A

It is the probability of getting your sample statistic randomly if the null were true. Basically, how likely is it that your sample statistic came from the Null Model.

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9
Q

One tail or 2 tailed? How do you tell?

A

if it just says “changed” or “different”.. Then it is 2 sided.. DOUBLE THE P VALUE at ent! If it says “more” “less than” “greater” etc.. Then it is just one sided..

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10
Q

Can you prove a null hypothesis true?

A

NO.. We just fail to reject it

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11
Q

Do you use p-hat or p-null when you calculate your standard deviation of null model?

A

use p-null..

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12
Q

Why would conclusions drawn from confidence intervals differ from those drawn from hypothesis tests?

A

Could be a one tail 2 tail mix up OR?. Think about how the SE is calculated. With confidence intervals, we use information from the sample (sd of sample or p-hat from sample), with hypothesis tests we use infromation from assumed parameters, the NULL (null s.d. or null p)

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13
Q

What are the 3 steps in hypothesis testing AFTER YOU CHECK CONDITIONS?

A
  1. Make your Ho and Ha 2. Make a Null Model (centered at null, use your Ho as center and in calculations, use your sample size).. This is a sampling distribution for the statistics if the null were true. 3. THINK then CHECK. use your statistic (p-hat, x-bar, phat1-phat2, xbar1-xbar2) to calculate your test statistic and then p value
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14
Q

What does PHANTOMSA stand for?

A

Parameter, Hypothesis, Assumptions, Name the test, Test Statistic, Obtain P VALUE, Make Decision, State conclusion in context, ANSWER QUESTION

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15
Q

what is a test statistic?

A

a t or z score (or chi squared) that you use to find a p value. It is how many s.d. away your statistic is away from the null parameter.

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16
Q

What is a null model?

A

It is a sampling distribution. It tells us how sample statistics would vary if the null were true. It is centered at the null.

17
Q

If you are doing a 1 tailed test with alpha=.05.. What confidence interval goes with that?

A

90% confidence interval (there is .05 in ONE tail)

18
Q

What are the xbar and mu in t-test on TI?

A

xbar is your sample mean, mu is your hypothesized population mean

19
Q

When do you use 1 prop z test instead of one prop t test?

A

There is no 1 prop t test. You use Z for props. T for means.

20
Q

Why is randomization a condition?

A

Because we understand randomness. We study it. We call it probability.