Chi-Square Test

What is the null hypothesis?

• Injury type is independent of position played

• Injury type is dependent on the position played independent

What is the

χ² _calculated value for the following situation.

• 6.65

• 6.66

• 0.00991

• 1

If we are performing a Chi-Square Test of Independence at a 5% significance level and our p-value is 0.00453, what is the conclusion?

• The two variables are independent of each other

• The two variables are dependent on each other

• We need to know chi-squared value

• You cannot do this problem without a calculator

What are the degrees of freedom for the following χ² test?

• 6

• 2

• 5

• 36

Python eggs How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs that hatched and didn’t hatch.
If the p-value is .08 and you use .05 as your alpha, what is your conclusion

• Fail to reject Ho: We do not have sufficient evidence that distribution of hatched is dependent on water temperature

• Reject Ho: We do not have sufficient evidence that distribution of hatched is different for water temperature options

• Fail to reject Ho: We do have sufficient evidence that distribution of hatched is different for water temperature options

• Reject Ho: We do have sufficient evidence that distribution of hatched is different for water temperature options

Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education.  To offset the reduction, the largest state university proposed a 25% tuition increase.  It was determined that such an increase was needed simply to compensate for the lost support from the state.  Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university's budget at current levels.  The results are in the table provided.  Why hypotheses would be appropriate for performing a chi-square test?

• The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases.  The alternative is that how close students are to graduation makes no difference in their opinion.
• The null hypothesis is that the mean number of students who are strongly are opposed is the same for each of the 4 years.  The alternative is that the mean is different for at least 2 of the 4 years.
• The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the 4 years at the university.  The alternative is that the distribution is different for at least 2 of the 4 years.
• The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent.  The alternative is that these variables are dependent.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

CCSS.HSS.MD.A.2