6.50 How's it going?: The American National Election Studies (ANES) collects data on voter attitudes and...

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6.50 How's it going?: The American National Election Studies (ANES) collects data on voter attitudes and intentions as well as demographic information. In this question we will focus on two variables from the ANES dataset (ANES, 2012). region (levels: Northeast, North Central, South, and West) whether the respondent feels things in this country are generally going in the right direction or things have pretty seriously gotten off on the wrong track To keep calculations simple we will work with a random sample of 500 respondents from the ANES dataset. The distribution of responses are as folows: Right Direction Northeast 29 Wrong Track 54 Total 83 North Central 44 77 121 South 62 131 193 West Total 36 67 103 171 329 500 There are TWO parts to this question. One is a Chi-Squared GOF and one is a Chi-Squared Test for Independence. Think about the differences between the two tests to determine which one to use on which part. a) Region: According to the 2010 Census, 18% of US residents live in the Northeast, 22% live in the North Central region, 37% live in the South, and 23% live in the West. Is this sample representative of the population distribution of US residents? 1. The hypotheses to test whether the sample is representative of the population distribution of US residents are: H: The sample distribution of regions follows the Census distribution H: The sample distribution of regions does not follow the Census distribution O Ho: The sample distribution of regions is uniform H: The sample distribution of regions is not uniform OH: X = 0 H: X = 0 H = 0 H = 0 2. The expected values for each region are: Northeast: North Central: South: West: 3. The test statistic for this hypothesis test is X= 4. The number of degrees of freedom associated with this test is: 5. The p-value associated with this hypothesis test is: 6.50 How's it going?: The American National Election Studies (ANES) collects data on voter attitudes and intentions as well as demographic information. In this question we will focus on two variables from the ANES dataset (ANES, 2012). region (levels: Northeast, North Central, South, and West) whether the respondent feels things in this country are generally going in the right direction or things have pretty seriously gotten off on the wrong track To keep calculations simple we will work with a random sample of 500 respondents from the ANES dataset. The distribution of responses are as folows: Right Direction Northeast 29 Wrong Track 54 Total 83 North Central 44 77 121 South 62 131 193 West Total 36 67 103 171 329 500 There are TWO parts to this question. One is a Chi-Squared GOF and one is a Chi-Squared Test for Independence. Think about the differences between the two tests to determine which one to use on which part. a) Region: According to the 2010 Census, 18% of US residents live in the Northeast, 22% live in the North Central region, 37% live in the South, and 23% live in the West. Is this sample representative of the population distribution of US residents? 1. The hypotheses to test whether the sample is representative of the population distribution of US residents are: H: The sample distribution of regions follows the Census distribution H: The sample distribution of regions does not follow the Census distribution O Ho: The sample distribution of regions is uniform H: The sample distribution of regions is not uniform OH: X = 0 H: X = 0 H = 0 H = 0 2. The expected values for each region are: Northeast: North Central: South: West: 3. The test statistic for this hypothesis test is X= 4. The number of degrees of freedom associated with this test is: 5. The p-value associated with this hypothesis test is: