Review We are now analyzing quufitum data and comparing ob served and expected frequencies. One variable ChiSquare determines "goodness of t" while a two variable test is a "test of independence." 1.? is a nondirectional test and critical numbers are found in the upper tail of Chi square distribution. Dne variable: Evaluates whether observed frequencies {fa} for a single qualitative variable are adequately described by h}; pothesized or predicted frequencies [fa]. The larger a if value Ecalculated}tl1e more likely we are to re ject the Ha. Let's do a hypothesis test to determine whether the distribu tion of party affiliation in our sample is similarto the distribu tion notedbj; polling agencies that investigate population level statistics. Some things to remember ftojzobtainedbhserved Erequencvform collected data e}: expected frequency Example 1 Due 1i.i'ariahlle Chi Square: goodnessofl: Polls suggest that the national population is made up 1 Republicans, 45% Democrats, and 9% Independents. ' have taken a random sample of mo CSUN students at 4'396 Republican, 4996 Democrats, and 49-5 Independet 1] Research Question: 2} H\": H,: 3} Decision Rule [Degrees of freedom: c1 [categories 4] Calculate x: : 1TIIfofeJB rife 5] Decision Rule: 6} Interpretation