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Friday, March 18, 2016

Weekend HW!

This weekend you have some IMPORTANT homework--teaching yourself chapter 21!

Please complete the chapter 21 reading questions and vocab quiz provided in class (or below). 

  • The more effort you put into reading this chapter and understanding its content, the better prepared you'll be for next week!
  • We have 3 days of notes this week, then a test on Thursday, so it's important you work hard on these reading questions and really teach yourself this stuff!
  • The chapter 21 vocab quiz will be collected and graded as a quiz on Monday--get an A!
We will also have our chapter 20 vocab quiz to start class on Monday: here's the list!
  • Notice that many of these words are repeated on your ch. 21 vocab this weekend--so that's some forced studying! 
  • Also, some of these are repeated from our chapter 19 quiz!
    • Standard Error (ch. 19)
    • Critical Value (ch. 19)
    • Margin of Error (ch. 19)
    • Confidence Interval (ch. 19)
    • Hypothesis Test (ch. 20) 
    • Null hypothesis (ch. 20)
    • Alternative hypothesis (ch. 20)
    • P-Value (ch. 20)
    • Meaning of __% Confidence (ch. 19)
    • Fail to reject null if p>alpha
    • Reject the null if p

_____________________________________________________________________________

Chapter 21: Reading Questions!
Use your textbook to answer each of the questions below. We only have 3 days to review this stuff, so you have to teach yourself the foundational terms/concepts yourself—via these questions!
1.)    The chapter starts off with an example of a hypothesis test regarding “therapeutic touch.”
a.       First, read the context—page 473-474 (stop when you get to the ESP? bullet)
b.      Now, look at the “step by step” example on the bottom of page 474:
                                                   i.      Record the null and alternative hypotheses for this problem:
                                                 ii.      Read through the conditions.
                                                iii.      Show the math work for this problem—don’t just copy it from the book, write it out as we would: show the z-score with its formula, the Normal model, and p-value. (All of this information is already show, you just have to organize it as we would).
                                               iv.      The p-value for this problem is 0.788. In our null hypothesis, we are assuming this person is not capable of therapeutic touch. Our alternative suggests that  this person is capable of therapeutic touch. Use this wording/context and our “writing template” to write an appropriate conclusion for this test.
2.)    What is a p-value? Record the definition of p-value—highlighted in blue on page 476.
3.)    Below this blue section there is a sentence in italics (on p. 476). Copy this sentence below!
4.)    Record the highlighted blue text on the top half of page 477.
5.)    Now, read the bottom of page 477, “Alpha Levels.” This references alpha levels and statistical significance; record the blue statement on the bottom of p. 477, and the blue section on the top of p. 478.
6.)    Much of this chapter delves deeper into the details about hypothesis testing. However, we are going to introduce two new ideas: type I and type II error!
a.       What is a type one error? (read the bottom of p. 482)
b.      What is/define a type two error.
7.)    An alpha level represents the “cutoff” value we use to decide if we reject the null hypothesis—but it’s also connected to Type I error. How so? Look at one of the blue highlighted pieces on page 483 and state how alpha relates to Type I error.
8.)    What is the power of a test? (blue stuff on page 483 AND on p. 484).
a.       Read the entire section about power on p. 484!
9.)    How do we calculate power? (look at the bullets on p. 487)
10.) What is effect size? (p. 485)
11.) There are two ways to increase the power of a test. These are going to require some reading…Start with the second bullet on p. 487, then read the top of p. 488. Record the two ways to reduce power below. 


Part 2: Chapter 21 Vocab Quiz!                                  Name:____________________________
Use your textbook, notes, and glossaries (ch. 19, 20,21) to complete the vocab quiz below!

1.) Fill in the blank with the appropriate word: When the p-value falls below the alpha level, we say that our test is ____________ at that alpha level.

a. Significance Level       
c. Statistically Significant               
e. Not Statistically Significant     
b. ___% Confident
d. A critical value

2.) Alpha Level/Significance Level
                a. The z* in the margin of error or confidence interval formula
                b. The “cutoff” value that we use to determine if we made a Type 1 or Type 2 error
c. The “cutoff” value that we use to determine if we reject or fail to reject the null hypothesis
d. The level of confidence we have for a given interval
e. The number of standard deviations/standard errors from the mean for a given confidence level

3.) Alpha Level/Significance Level
                a. The probability of a type 2 error
                b. The probability of a type 1 error
                c. The likeliness that we correctly reject a false null hypothesis
                d. The power of a test
                e. The same as the confidence level for a given test

4.) The number of standard errors to move away from the mean of a sampling distribution for a specified confidence level.
a. Sampling Error             
b. Standard Deviation                   
c. Standard Error                             
d. Margin of Error
e. Critical Value

5.) A z or t score; measures the distance from the mean in standard deviations 
     a. Confidence Interval
                b. Standardized Test Statistic
                c. Alpha Level
                d. P-Valud
                e. Confidence Level

6.) The probability of a type 2 error is:
                a. Alpha                b. Beta                  c. Mu                     d. Sigma                                                e. The same as the confidence level

7.) This is our conclusion if the calculated p-value is above the given level of significance:
a. Accept the null hypothesis     
c. Reject the null hypothesis      
e. Prove the null hypothesis is true         
b. Fail to reject the null hypothesis
d. Fail to reject the alternative hypothesis

8.) Type I Error
                a. This is when we mistakenly reject a true alternative hypothesis
                b. This is when we mistakenly fail to reject a true alternative hypothesis
                c. This is when we mistakenly reject a true null hypothesis
                d. This is when we mistakenly fail to reject a false null hypothesis
                e. This is when we mistakenly a true null hypothesis

9.) Type 2 Error
a. This is when we mistakenly reject a true alternative hypothesis
                b. This is when we mistakenly fail to reject a true alternative hypothesis
                c. This is when we mistakenly reject a true null hypothesis
                d. This is when we mistakenly fail to reject a false null hypothesis
                e. This is when we mistakenly fail to reject a true null hypothesis

10.) Power
                a. A test’s ability to correctly accept a true null hypothesis
                b. A test’s ability to correctly prove a true null hypothesis
                c. A test’s ability to correctly fail to reject a true null hypothesis
                d. A test’s ability to correctly reject a false null hypothesis
                e. A test’s ability to correctly fail to reject a false null hypothesis

11.) If we had a p-value of 0.001, we would make this decision (for any of the common alpha levels):
a. Accept the null hypothesis                                      b. Reject the null hypothesis     
c. Prove the null hypothesis is true                          d. Fail to reject the null hypothesis
e. Fail to reject the alternative hypothesis

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