ASAP Please for only Question #7 and 8
5) You are testing whether education level affects the happiness using a chi square test. There are six education level groups (No degree, Associate degree, Bachelor's degree, Master's degree, Doctoral degree and Professional certificate) and three happiness categories (very happy, no opinion and not happy). What are the null and alternative hypotheses?
a. |
H0: educational level and happiness are related H1: educational level and happiness are not related |
|
b. |
H0: educational level does not affect the happiness H1: educational level affects the happiness |
|
c. |
H0: educational level and happiness are dependent H1: educational level and happiness are independent |
|
d. |
H0: educational level influences happiness H1: educational level does not influence happiness |
7) For the chi-square test in problem 5), you have collected data and the chi square test statistic was calculated. Let's suppose it was 12.92. What is the p-value ? round to four decimal places.
a. |
0.1146 |
|
b. |
0.2282 |
|
c. |
0.1663 |
|
d. |
0.0443 |
8) A researcher is studying the relationship between cities and violent crimes. He took a random sample of four cities and recorded crimes shown below:
Forcible Rape |
Robbery |
Aggravated assault |
|
Columbia, MD |
14 |
35 |
70 |
Plano, TX |
10 |
33 |
76 |
Gilbert, AZ |
14 |
37 |
77 |
Norman, OK |
47 |
36 |
53 |
You are testing whether there is sufficient evidence to indicate a relationship between the city and the type of crime committed.
a) What are the null and alternative hypotheses?
b) What are the degrees of freedom of the chi-square distribution for this contingency table?
c) What is the expected count (frequency) for the cell of Plano and Forcible Rape? Round to two decimal places.
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