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A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 86 31 116 Catholic 59 70 Jewish 24 15 25 Other 68 35 78 What can be concluded at the o = 0.05 significance level? a. What is the correct statistical test to use? O Paired t-test O Independence O Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Ho: O Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is not the same for each religion. O The distribution of sneaker brand is the same for each religion. O Sneaker brand and religious affiliation are dependent. H1: O Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is not the same for each religion. O Sneaker brand and religious affiliation are dependent. O The distribution of sneaker brand is the same for each religion. c. The test-statistic for this data = (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 |Select an answer f. Based on this, we should O accept the null O fail to reject the null O reject the null g. Thus, the final conclusion is... O There is sufficient evidence to conclude that sneaker brand and religious affiliation are independent. O There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent. O There is insufficient evidence to conclude that sneaker brand and religious affiliation are dependent O There is insufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion. O There is sufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey. Frequencies of Living Situation and Pet Single Family Couple Dog 54 88 80 Cat 97 99 88 Various 37 45 43 None 55 48 33 What can be concluded at the o = 0.05 significance level? a. What is the correct statistical test to use? O Independence O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? Ho: O The distribution of pets is the same for each living situation. O The distribution of pets is not the same for each living situation. O Pet ownership and living situation are dependent. O Pet ownership and living situation are independent. H1: O The distribution of pets is not the same for each living situation. O Pet ownership and living situation are independent. O The distribution of pets is the same for each living situation. O Pet ownership and living situation are dependent. c. The test-statistic for this data = (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 Select an answer v Q: f. Based on this, we should O accept the null O fail to reject the null O reject the null g. Thus, the final conclusion is... O There is sufficient evidence to conclude that pet ownership and living situation are independent. O There is insufficient evidence to conclude that pet ownership and living situation are dependent. O There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation. O There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation. O There is sufficient evidence to conclude that pet ownership and living situation are dependent.A restaurant manager is interested in investigating whether the main course ordered and the dessert ordered are related. The table below shows the results of a survey. Frequencies of Food Preference and Dessert Types Fish Meat Vegetarian Cake 89 87 48 Ice Cream 116 93 45 Pie 118 120 33 What can be concluded at the o = 0.05 significance level? a. What is the correct statistical test to use? O Homogeneity O Goodness-of-Fit O Paired t-test O Independence b. What are the null and alternative hypotheses? Hot O The distribution of dessert orders is not the same for each main course that is ordered. O The distribution of dessert orders is the same for each main course that is ordered. O Main course and dessert are independent. O Main course and dessert are dependent. H1: O The distribution of dessert orders is the same for each main course that is ordered. O The distribution of dessert orders is not the same for each main course that is ordered. O Main course and dessert are independent. O Main course and dessert are dependent. c. The test-statistic for this data = (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 Select an answer v O f. Based on this, we should O accept the null O fail to reject the null O reject the null g. Thus, the final conclusion is... There is sufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are dependent. O There is insufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are dependent O There is insufficient evidence to conclude that the distribution of dessert orders is the same for each main course that is ordered. O There is sufficient evidence to conclude that the distribution of dessert orders is the same for each main course that is ordered. O There is sufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are independent.Is there an association between hair color and body type? The table below.r shows the results of a researcher's observations of randomly selected people. Short and Slender _\" 109 Short and Pudgy 63 Tall and Slender 54 120 Tall and Heavyr 5? What can be concluded at the o: = 0.01 significance level? a. What is the correct statistical test to use? 0 GoodnessofFit O Homogeneity 0 Independence O Paired ttest b. What are the null and alternative hypotheses? HI]: 0 The distribution of hair color is the same for each body type. C} The distribution of hair color is not the same for each body type. 0 Hair color and body type are dependent. 0 Hair color and body type are independent. 0 Hair color and body type are dependent. 0 Hair color and body type are independent. 0 The distribution of hair color is not the same for each body type. C} The distribution of hair color is the same for each body type. c. The test-statistic for this data = C] [Please shovu.r your answer to three decimal places] d. The p-value for this sample = :l[Please show.r your answer to four decimal places] e. The pvalue is I Select an answer v I o: f. Based on this, we should 0 fail to reject the null O reject the null O accept the null g. Thus, the finalconclusion is... C} There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. C} There is sufficient evidence to conclude that hair color and body type are independent. 0 There is insufficient evidence to conclude that hair color and body type are dependent. C} There is sufficient evidence to conclude that the distribution of hair color is not the same for each body type. C} There is sufficient evidence to conclude that hair color and body type are dependent