Answer all questions with explanation

An employee advocacy group was worried that sick leave in workplaces had failed to adapt to a post-COVID society. The average number of sick days allowed per year in American jobs Is 11. In an innovative study, the advocacy group randomly sampled 46 workers in various fields and localities across the country and asked them to record for each day whether or not they felt moderately or severely sick and whether or not they were expected to work that day. At the end of the year, it turned out that workers in their sample felt sick an average of 16:48 days out of the year that they were expected to work, and the distribution of total days felt sick for each worker was approximately bell-shaped. The advocacy group elected to test the hypotheses: Hol well vs. and found the best statistic t . 1.56. a) Why should we feel comfortable trusting the results of their test, Select True for conditions that are relevant and satisfied and false for conditions that are not relevant or not satisfied: I) The distribution of days felt sick for each worker was close enough to a normal distribution, _saloct. v ") 46(0.11) and 40(0.89) are both at least 15. Cloth- 1) 46(0.1648) and 46(0.8352) are both at least 15. Sand.. lv) 46(0.156) and 46(0.844) are both at least 15. Canact- v v) The sample was randomly selected. [ Solacev vis The workers in the sample are probably independent of one another Cadev b) What is the p-value for their test? (3 decimal places) c) what does that p-value mean? @) This was the probability of finding that a sample of 46 workers would require 16,48 sick days or more on average if the true average for all workers was only 11. O Were they to conduct this test again, this is the probability that they would get a sample average number of sick days required at least as extreme as 16.48. O This was the probablety that the true average number of sick days required across all workers is 11 based on this sample average of 16.40 O They are that percent confident that the results of their test will give them the correct parameter that percentage of the time