Random samples of young adults(aged 30 and under) and older adults(aged 50 and over) are selected and asked, "Do you believe climate change is an emergency for our planet?" Results of the survey are shown below:

Sample size # who answered yes

young adults 120 90

older adults 180 108

a) conduct a hypothesis test at the 10% level of significance to determine whether there is a difference in the true proportions of young adults and older adults who believe climate change is an emergency. state the hypothesis, give value of z test statistic (don't show its calculation), show your p-value calculation, and write conclusion.

b) suppose you had conducted the test in (a) using a chi-square test for homogeneity. What would be the value of the test statistic and p-value? (No need to conduct the chi-square test to answer this question.)