Fifty nine 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 3.0%,...


Fifty nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The<br>sample mean and the sample standard deviation are 9% and 3.0%, respectively. (You may find it useful to reference the appropriate<br>table: chi-square table or F table)<br>Vacancy Rate<br>Less than 6<br>Frequency<br>12<br>6 up to 9<br>9 up to 12<br>12 or more<br>14<br>20<br>13<br>a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow<br>the normal distribution? First, select the appropriate null and alternative hypotheses.<br>O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not<br>normally distributed with a mean of 9% and a standard deviation of 3%.<br>O Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are<br>normally distributed with a mean of 9% and a standard deviation of 3%.<br>b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3<br>decimal places.)<br>Test statistic<br>

Extracted text: Fifty nine 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 3.0%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) Vacancy Rate Less than 6 Frequency 12 6 up to 9 9 up to 12 12 or more 14 20 13 a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%. O Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
c. Find the p-value.<br>0.025 s p-value < 0.05<br>O 0.01 s p-value < 0.025<br>Opvalue < 0.01<br>p-value 2 0.10<br>O 0.05 s p-value < 0.10<br>d. What is the conclusion?<br>O Reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed<br>O Do not reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed<br>O Reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed<br>Do not reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed<br>

Extracted text: c. Find the p-value. 0.025 s p-value < 0.05="" o="" 0.01="" s="" p-value="">< 0.025="" opvalue="">< 0.01="" p-value="" 2="" 0.10="" o="" 0.05="" s="" p-value="">< 0.10 d. what is the conclusion? o reject ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed o do not reject ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed o reject ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed do not reject ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed 0.10="" d.="" what="" is="" the="" conclusion?="" o="" reject="" ho;="" there="" is="" enough="" evidence="" to="" support="" the="" claim="" that="" the="" vacancy="" rates="" are="" not="" normally="" distributed="" o="" do="" not="" reject="" ho;="" there="" is="" enough="" evidence="" to="" support="" the="" claim="" that="" the="" vacancy="" rates="" are="" not="" normally="" distributed="" o="" reject="" ho;="" there="" is="" not="" enough="" evidence="" to="" support="" the="" claim="" that="" the="" vacancy="" rates="" are="" not="" normally="" distributed="" do="" not="" reject="" ho;="" there="" is="" not="" enough="" evidence="" to="" support="" the="" claim="" that="" the="" vacancy="" rates="" are="" not="" normally="">
Jun 04, 2022
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