Students in an introductory statistics glass at a large university classified by
ID: 3243379 • Letter: S
Question
Students in an introductory statistics glass at a large university classified by birth order and by the college they attend. Complete parts Birth through f. a) What kind of chi square test appropriate (goodness of fit, homogeneity, or independence)? A. A chi square test for goodness-of-fit would be appropriate. B. A chi square test for independence would be appropriate C. A chi square test for homogeneity would be appropriate. b) State your hypotheses. H_0 H_A c) State and check the conditions. Select all the conditions the problem satisfies. A. Counted data condition: The data are given as counts. B. 10% condition The 247 students less than 10% of all statistics students. C. Expected cell frequency condition The expected values are all at least 5. D. Randomization condition: This is not a random sample of students, but there is no reason think that this group of students is not representative, at least of statistics students at this university. E. Independence assumption The students are independent of each other. d) How many degrees of freedom are there? df = e) The calculation yields, x^2 = 23.52 with P = 0.0051. State your conclusion. (Assume significance level of 0.05.) Choose the correct answer below A. Fail to reject the null hypothesis. There is no evidence of an association between birth order and collage among statistics students at this university B. Reject the null hypothesis. There is evidence of an association between birth order and collage among statistics students at this university. C. Reject the null hypothesis There is no evidence of an association between birth order and collage among statistics students at this university D. Fail to reject the null hypothesis. There is evidence of an association between birth order and college among statistics students at this university. f) Examine and comment on the standardized residuals Do they challenge your conclusions? A. The standardized residuals do not challenge the conclusion drown B. Some -cells with expected counts less than 5 have large residuals so any conclusion found is suspect. C. The standardized residuals sum to zero. This means the data is not independent D. Some standardized residuals have a magnitude greater than 1. Any conclusions are invalid.Explanation / Answer
a) Chi-Square Test for Independence is most appropriate here
option B) is correct
b) Ho : Birth order and College are independent
Ha: Birth order and College are not independent
c) check condition yourself
d) degree of freedom = (r-1)(c-1) = (4-1)(4-1)= 9
e) since p-value is less than alpha (0.0051 <0.05)
we reject the null hypothesis and conclude that there is significant evidence that both are not independent
option B) is correct