USA TODAYT reported that Americans spend 4.1 hours per weekday checking work email. This was an estimate based on a survey of 1,004 white-collar workers in the United States. n USE SALT (a) Suppose that you would like to know if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour work day. What would you need to assume about the sample in order to use the given sample data to answer this question? (Select all that apply.) O we would need to assume that the distribution of the population of times is normal or that the sample size is small. O we would need to assume that all observations are dependent or all observations are independent. O we would need to assume that the distribution of the population of times is not normal or that the sample size is small. O we would need to assume that all white-collar workers were surveyed or the sample is representative of the population of white-collar workers in the United States. O we would need to assume that the sample was randomly selected or is representative of the population of white-collar workers in the United States. (b) Given that any concerns about the sample were satisfactorily addressed, carry out a test to decide if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour work day. Suppose that the sample standard deviation was s = 1.5 hours. Use a 0.05 significance level. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal place and your P-value to three decimal places.) p-value = State the conclusion in the context of the problem. O we reject He: We have convincing evidence that the mean time spent checking work email for white-collar workers in the U.S. is more than half of the 8-hour work day. O we fail to reject Hg- We have convincing evidence that the mean time spent checking work email for white-collar workers in the U.S. is more than half of the 8-hour work day. O we reject Ha: We do not have convincing evidence that the mean time spent checking work email for white-collar workers in the U.S. is more than half of the 8-hour work day. O we fail to reject Hg- We do not have convincing evidence that the mean time spent checking work email for white-collar workers in the U.S. is more than half of the 8-hour work day.