6 Hundred and one cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.6% respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) 8 35 points Vacancy Rate Frequency Less than 6 27 6 up to 9 28 9 up to 12 33 12 or more 13 a. Apply the goodness-of-fit test for normality at the 10% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3.6%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3.6%. Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3.6%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3.6%. decimal places.) b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 Test statistic