You may need to use the appropriate technology to answer this question. A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the Individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 62 59 7 to 7.9 77 75 8 or more- 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. H: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. O Ho: Hours of sleep per night is not independent of age. H: Hours of sleep per night is independent of age. O Ho: Hours of sleep per night is independent of age. H: Hours of sleep per night is not independent of age. O Ho: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value= Using a 0.05 level of significance, what is your conclusion? O Do not reject Ho. We conclude that hours of sleep per night and age are not independent. Do not reject Ho. We cannot conclude that hours of sleep per night and age are not independent. Reject H. We cannot conclude that hours of sleep per night and age are not independent.