Last year in Alberta, 55.1% of rst-time home buyers purchased row/townhousetype homes, 33.8% of rst-time home buyers purchased semidetatchedtype homes, and 11.1% of rst-time homebuyers purchased detached-type homes. In an attempt to empower rsttime home buyers, the provincial government implemented a number of new policies. To see whether these policy changes are having an impact, a random sample of rsttime home buyers was taken from all rst-time home buyers since the policy changes were implemented The purchased dwelling type was recorded for these rst-time home buyers. The results are shown in part b. below. Can we conclude that the policy changes implemented by the Alberta government have changed the distribution of the types of dwellings purchased by new home buyers? Conduct a chi-square test using oz : 0.05 to determine this. a. Which pair of hypotheses would be used forthis test? 0 H0: the proportions have changed since the new policies were implemented. H]: the proportions have not changed since the new policies were implemented 0 H0: the proportions have not changed since the new policies were implemented H}: the proportions have changed since the new policies were implemented. b. A random sample of 121 rsttime home buyers (since the policy change) was taken and the dwelling type purchased was recorded. The observed frequencies are summarized below. Complete the rest of the table by lling in the expected frequencies and the Pearson residuals. Express your answers rounded to three decimal places. Dwelling Type Observed Expected Pearson Residuals fo fe (fe fe)2 Row/Townhouse 67 l l l ' Semi-Detached 34 l, l' l l ' Detached 20 l' l ' c. Calculate the test-statistic for this data. Express your answers rounded to three decimal places. 2 _ Xstot _ d. What are the degrees of freedom and the critical value for this test? Express your answers rounded to three decimal places if needed. 2 _ . Xcrit _ l l e. What decision should be made? We would 0 fail to reject the null hypothesis. 0 reject the null hypothesis. 0 accept the null hypothesis. 0 fail to reject the alternate hypothesis. f. What would we conclude