An adult patient is suspected of having emphysema. Which of…

Questions

In the lаst presidentiаl electiоn, befоre the cаndidates started their majоr campaigns, the percentages of registered voters who favored the various candidates were as follows. Percentages Republicans 34% Democrats 43% Independents 23% After the major campaigns began, a random sample of 400 voters showed that 173 favored the Republican candidate; 162 were in favor of the Democratic candidate; and 65 favored the Independent candidate. We are interested in determining whether the proportion of voters who favored the various candidates had changed. (a) The null hypothesis of the problem is and .      The alternative hypothesis of the problem is and . (b) The expected frequencies for Republican, Democratic, and Independent  candidates are , and , respectively. (c) The test statistic of the test is . (Keep 3 decimal places) (d) The sampling distribution of the test statistic is a distribution with the degrees of freedom of . (e) Using the Chi-Square table, the p-value is 0.01. (f) Using the critical value approach, test the hypotheses at the significance level of 0.01.  State the critical value(s) for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answer(s) to four decimal places.)        test statistic       test statistic (g) At the 0.01 level of significance, the null hypothesis .