Questions 1 and 2

#1. Titanic With 20% of men, 74% of women, and 52% of children surviving the infamous Titanic disaster, it is clear that the saying "women and children first" was followed. But what, if any, role did the class of service play in the survival of passengers? The data shown represent the survival status of passengers by class of service. Class First Second Third Survival Status Survived 203 118 178 Not Survived 122 167 528 Is class of service independent of survival rate? Use a = 0.05 level of significance. Show five steps a . State the null and alternate hypotheses. b . Find test statistics (write formula and round your answer to two decimal places) C . Find P-value (round to 4 decimals and compare to alpha) d. Do you reject or fail to reject the null hypothesis? e. Interpret your conclusion in the context of the application: #2. Premature Birth and Education Does the length of term of pregnancy play a role in the level of education of the baby? Researchers in Norway followed over 1 million births between 1967 and 1988 and looked at the educational attainment of the children. The following data are based on the results of their research. Note that a full-term pregnancy is 38 weeks. Is gestational period independent of completing a high school diploma? Use the a = 0.05 level of significance. Show five steps Gestational Period (weeks) 22-27 28-32 33-36 37-42 43+ Yes 140 Less Than High 14 34 1010 81 School Degree No 26 65 343 3032 208 a. State the null and alternate hypotheses. b. Find test statistics (write formula and round your answer to two decimal places) C. Find P-value (round to 4 decimals and compare to alpha) d. Do you reject or fail to reject the null hypothesis? e . Interpret your conclusion in the context of the application