According to ABCD in 3121, the average American spent $16,803 on housing. A suburban community wants to know if their residents spent less than this national average. In a survey of 30 residents, they found that they spent an annual average of $15,800 with a standard deviation of $2,600. ( alpha=0.005 ) The hypothesis for this [ Select ] two-tailed right-tailed left-tailed test would be: 𝐻 0 : µ =16803 𝐻 𝑎 : [ Select ] µ>15800 µ=16803 µ<16803 µ≠15800 The possible decision rules for this test can be made using P-values or critical values. Using Critical Values, the [ Select ] null hypothesis alternative hypothesis is rejected if the test statistic is [ Select ] greater less than [ Select ] -1.645 -1.96 2.33 -2.756 . Using P-values, the [ Select ] alternative hypthesis null hypothesis is rejected if the P-value is [ Select ] less greater than [ Select ] 0.05 0.10 0.01 0.005 . Using the t.test function in R, we find that the point estimate of the mean amount a suburban community spend on housing is [ Select ] $2,600 $16,803 30 $15,800 , the test statistic is [ Select ] -2.11 $2,600 .0217 $15,800 0.005 , and the P-value is [ Select ] -2.11 3121 0.02166 0.005 . Based on this analysis, we will decide to [ Select ] reject fail to reject the [ Select ] alternative null hypothesis. We [ Select ] have do not have evidence to suggest their residents spent less than this national average. c08.p080.q009 Multiple dropdown selections
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