17) Mrs. Black thinks there may be a relationship between class and performance in statistics. She selects a random sample of 161 statistics students from across the U.S. and classifies each student according to their class and their current grade in statistics. Here are the results:
Does the data provide convincing statistical evidence of an association between class and statistics grade in the population of all statistics students? Use = 0.01.
STATE: (choose ONE option from the parenthesia)
H0: There (is an association /is no association) between class and statistics grade.
Ha : There (is an association /is no association) between class and statistics grade.
PLAN:
Name the test: (choose A,B,or C)
A) Chi-Square Test for Homogeneity
B)Chi-Square Test for Goodness of Fit
C)Chi-Square Test for Association/Independence
RANDOM:(choose 1,2,or 3)
1)This condition is not met.
2)We have two independent random samples.
3)We have a random sample of 16l statistics students.
10%: (choose a,b,or c
a)161 < 10% of all statistics students.
b)The 10% condition does not apply.
c)The 10% condition is not met.
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DO:
x² = __________________(Enter at least 2 decimal places)
df = ________________(Enter an integer)
P-value = _____________________
CONCLUDE: (choose ONE option from the parenthesis)
Because the P-value ( > / < ) α = 0.01, the correct decision is to (reject H0 / fail to reject H0 ) . We ( do not have / have ) convincing evidence that there (is no association / is an association) between class and statistics grade.
