Determine statistical methods to be used present values of o

Determine statis-tical methods to be used, present values of observed test statistic, corresponding p-values, and statistical conclusions. Only present tailored SAS output directly relevant to your question. Do not provide irrelevant SAS output.

Test for a one-way contingency table to con rm the race percentages with race code=1, 2, 3 are 0.45, 0.20 and 0.35, respectively. Compute p-value and draw statistical conclusion.All tests are conducted at level 0.05.

The data :

Obs id gender race read write math science socst 41 06355\' 5 6 4 3 4 3 4 4 5 5 4 4 4 5 3 3 5 5 4 4 4 4 5 5 6 5 5 4 4 2 5 5 4 6 5 4 4 4 4 666355573655 , e3 9 0 1 5 1 9 9 5 6 0 9 7 7 0 6 6 4 4 5 2mN4930959040944244. 4 0 4 2 3 1 7 1 1 5 6 8 2 3 4 2 1535356335 5 4 4 5 5 2 5 4 4 4 4 6 4 4 3 3 5 3 5 3 5 3 5 2 5 4 4 4 4 4 4 3 4 5 6 4 3 6 3 654534 a2520575694399-14929348620961700541253938643979224642322 m44554544444m5 6 6 4 3 5 4 4 5 4 6 5 4 4 4 4 5 4 5 4 5 4 7 5 3 4 4 4 4 4 4 4 6 3 4 6 4 6 6 4 5 4 5 1965-7024-7 4 1 1 0 4 1 4 9 9 9mO-un N t 4 1 7 4 2 3 5 5 2 1 9 6 7 1 5 7 4 7 6 6 9 9 7 5 4 6 9 9 5 4 5 5 4 5 4 3 4 4 4 5 6 4 3 3 4 4 4 6 6 4 4 4 5 5 6 4 5 6 5 3 6 5 4 4 4 5 4 5 3 5 6 4 3 54664455 e0475074272073492807732947743-0794. 7 6 9 2 8 7 7 5 7 7 672040570-5 r535456335445, 5 5 4 4 4 5 4 4 6 5 3 3 4 4 4 7 4 6 4 3 3 5 4 3 5 2 4 4 4 4 4 64464564545 0 1 8 8 1 0 2 3 9 6 0 9 7 7 1 5 2 9 8 5 4 3 4 8 1 7 4 4 4 7 5 4 8 5 3 2 2 5 9 7 6 6 3 0 9 3 1 6 623520- 514342152144 2212 1 1 2 45 33342434 511 44131523322533 0123456789012345678901234 s 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5

Solution

First thing is to conduct hypothesis testing.

And the statistical model which we would be using is Logistic Regression model.

We have the level of significance given = 0.05.

In performing a hypothesis test, we essentially put the null hypothesis on trial.We begin by assuming that H0 is true, just as we begin a trial by assuming a defendant to be innocent.The hypothesis test involves measuring the strength of the disagreement between the sample and H0 to produce a number between 0 and 1, called a P-value. The P-value measures the plausibility of H0. The smaller the P-value, the stronger the evidence is against H0. If the P-value is sufficiently small, we may be willing to abandon our assumption that H0 is true and believe H1 instead. This is referred to as rejecting the null hypothesis.

Now for logistic regression model, We have to select one dependent variable and any number of independent variables. Then based on the p-value we can conduct the test and reach out to some business conclusion.