Chapter 8.3 Flashcards

1
Q

What is a hypothesis?

A

It is a proposed explanation that has not yet been tested to find out if it is a good explanation
-In stats the hypothesis will be in relation to the pop parameter and sample will be used to evaluate it

pg. 484

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2
Q

What are the four step of the scientifie method?

A
  1. Observation
  2. Hypothesis
  3. Experiment
  4. Theory

pg. 484

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3
Q

What is the fundamental limitation?

A

We can NEVER use a statistic to PROVE that a population parameter is equal to some specific value, we can only say if it’s consistent or not

pg. 485

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4
Q

What is the language used for testing a hypothesis that the pop parameter is equal to a specific value?

A

Reject or Fail to Reject
-You must say fail to reject rather than accept to include all possible options without saying it’s 100% correct

pg. 491

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5
Q

What is the language used for testing a hypothesis that the pop parameter is different from a specific value?

A

Support or Not support

if reject then support, if fail to reject then non support

pg. 494

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6
Q

What is a hypothesis vs a hypothesis test?

A

hypothesis: an assumption about a population
hypothesis test: a procedure for testing a hyposthesis

pg. 498

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7
Q

What is a null hypothesis?

A

Hsub0: p=0.5
a statement that the pop parameter is equal to some specific value

pg. 499

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8
Q

What is an alternative hypothesis?

A

Hsub1: p>0.5 (p more than 0.5)
a statement that the pop parameter is somehow diff from the null hypothesis

pg. 499

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9
Q

What is the significance level?

A

the boundary for a specific problem between probabilities which are low and probabilities which are not low (each problem will tell you)
symble a-alpha

pg. 500

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10
Q

What is the p-value?

A

The probalitiy of getting a result at least as extreame as the observed result, assuming that the null is true.
-p-value is low whenever the it’s less than or equal to alpha(significance level)

pg. 500

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11
Q

What is the relationship between p-value and Hsub0?

A

If the p-value is low, then reject Hsub0

pg. 501

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12
Q

What are the four steps for the p-value method/hypothesis test?

A
  1. Identify the null(Hsub0) and alternative hypothesis(Hsub1)
  2. Find the p-value
  3. Address Hsub0 (Reject or Fail to Reject)
  4. State a conclusion that addresses the claim

pg. 501

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13
Q

How do you use the calculator to do the hypothesis test?

A

Stat-tests
1-PropZTest(5)
Psub0=Hsub0
X=succsses
n=sample value
finds p-value

pg. 502

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14
Q

What do you look at to find HsubO and Hsub1?

A

The Claim

pg. 505

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15
Q

What is the wording for the final conclusion?

A

Equal?-Yes-Reject?-Yes-enough to reject
Equal?-Yes-Reject?-No-NOT enough to reject
Equal?-No-Reject?-Yes-enough to support
Equal?-No-Reject?-No-NOT enough to support

pg. 504

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16
Q

How do you find the Critical Value?

A

look at tails then find a to the left! use invnorm
-draw graph

pg. 514

17
Q

What is the relationship between the p-value and the test stat?

A

P-value is the probability of getting a value of the test stat that is at least as extreme as the one given

pg. 516

18
Q

What the the steps when doing hypothesis tests by hand?

A

1) Hsub0 and Hsub1
2) Test stat (equation given)
3) Critical Value (invnorm)
4) Address Hsub0
5) State conclusion addressesing claim

pg. 517