1 independence repeat

Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde Brunette Red Head Short and Slender 86 89 58 Short and Pudgy 89 119 76 Tall and Slender 51 106 80 Tall and Heavy 52 94 72 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test Goodness-of-Fit Independence b. What are the null and alternative hypotheses? Hol The distribution of hair color is the same for each body type. Hair color and body type are dependent. Hair color and body type are independent. O The distribution of hair color is not the same for each body type. H Hair color and body type are independent. O The distribution of hair color is not the same for each body type. The distribution of hair color is the same for each body type. Hair color and body type are dependent. c. The test-statistic for this data = 18.313 x (Please show your answer to three decimal places.) d. The p-value for this sample = Please show your answer to four decimal places.) e. The p-value is less than (or equal to) f. Based on this, we should O fail to reject the null O accept the null O reject the null g. Thus, the final conclusion is... O There is insufficient evidence to conclude that hair color and body type are dependent. There is sufficient evidence to conclude that the distribution of hair color is not the same for each body type. There is sufficient evidence to conclude that hair color and body type are dependent. O There is sufficient evidence to conclude that hair color and body type are independent. There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type