Are juveniles with lower grades in school more likely to have a court record? Complete the table below by filling in the percentage of each median grade group who have and do not have a court record. Also fill in the expected values for each cell. Then complete the following questions below. Juvenile has a court record? Yes No Total Median Grade in School A % Expected 4 36 40 B % Expected 27 108 135 C % Expected 113 338 451 D or lower % Expected 26 39 65 Total 170 521 691 Calculate chi-square. Do this by hand or using Excel and fill your answer in here: Determine chi-square critical. You can do this on Excel using the "=chiinv" command. Use an alpha level of .05. Fill in the alpha level and degrees of freedom in the parentheses after the chiinv. Chi-square critical is: Do you reject the null hypothesis or not? Write your answer as "reject" or "do not reject". Calculate Cramer's V using hand calculations or Excel and put your answer here:
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Are juveniles with lower grades in school more likely to have a court record? Complete the table below by filling in the percentage of each median grade group who have and do not have a court record. Also fill in the expected values for each cell. Then complete the following questions below.
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|
|
Juvenile has a court record? |
||
|
|
|
Yes |
No |
Total |
|
Median Grade in School |
A % Expected |
4
|
36
|
40
|
|
B % Expected |
27
|
108
|
135
|
|
|
C % Expected |
113
|
338
|
451
|
|
|
D or lower % Expected |
26
|
39
|
65
|
|
|
|
Total |
170 |
521 |
691 |
Calculate chi-square. Do this by hand or using Excel and fill your answer in here:
Determine chi-square critical. You can do this on Excel using the "=chiinv" command. Use an alpha level of .05. Fill in the alpha level and degrees of freedom in the parentheses after the chiinv. Chi-square critical is:
Do you reject the null hypothesis or not? Write your answer as "reject" or "do not reject".
Calculate Cramer's V using hand calculations or Excel and put your answer here:
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