septem 7 only Taming behind the cost of living A survey of 50 random working class households in early February 2008 found that 32 of them now felt their incomes were falling behind Do these data provide sufficient evidence at the 0 01 level of significance to conclude that the proportion of working class households who say their incomes are falling behind the cost of living is higher in February 2008 than it was in September 2007 a What type of test are we using Since we have a single sample working class households and are comparing the proportions for the same at two different times this is a paired sample test Since we re interested in whether the proportion in February 2008 is higher than in September 2007 this is a right tailed test b Do we meet the assumptions for normality for this type of test justify your response Since the sample size is 50 and therefore greater than 30 we can reasonably assume normality is present c Write the hypotheses for this test symbolically H 48 Ha 48 d Find the sample statistic test statistic and p value Sketch a distribution that shows your p value either with your sample statistic or your test statistic sample statistic 0 64 test statistic 2 26455408 p value 0 01177 I P value area e What is our conclusion Justify your response 2 26455408 O