Chapter 11: The Chi-Square Distribution

Enter expected values in Table 11.32. Round to two decimal places.

$df=---$

$x^2$test statistics ------

Use the following information to answer the next eight exercises: An article in the New England Journal of Medicine, discussed a study on smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were \(9886\) African Americans, \(2745\) Native Hawaiians, \(12,831\) Latinos, \(8,378\) Japanese Americans and \(7,650\) whites. Of the people smoking \(11\) to \(20\) cigarettes per day, there were \(6,514\) African Americans, \(3,062\) Native Hawaiians, \(4,932\) Latinos, \(10,680\) Japanese Americans, and \(9,877\) whites. Of the people smoking \(21\) to \(30\) cigarettes per day, there were \(1,671\) African Americans, \(1,419\) Native Hawaiians, \(1,406\) Latinos, \(4,715\) Japanese Americans, and \(6,062\) whites. Of the people smoking at least \(31\) cigarettes per day, there were \(759\) African Americans, \(788\) Native Hawaiians, \(800\) Latinos, \(2,305\) Japanese Americans, and \(3,970\) whites.

\(\chi^{2}\) test statistics=____

$p-$value:

Is this a right-tailed, left-tailed, or two-tailed test? Explain why.

Where is $\mu$located on a chi-square curve?

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.

Use the following information to answer the next eight exercises: An article in the New England Journal of Medicine, discussed a study on smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were \(9886\) African Americans, \(2745\) Native Hawaiians, \(12,831\) Latinos, \(8,378\) Japanese Americans and \(7,650\) whites. Of the people smoking \(11\) to \(20\) cigarettes per day, there were \(6,514\) African Americans, \(3,062\) Native Hawaiians, \(4,932\) Latinos, \(10,680\) Japanese Americans, and \(9,877\) whites. Of the people smoking \(21\) to \(30\) cigarettes per day, there were \(1,671\) African Americans, \(1,419\) Native Hawaiians, \(1,406\) Latinos, \(4,715\) Japanese Americans, and \(6,062\) whites. Of the people smoking at least \(31\) cigarettes per day, there were \(759\) African Americans, \(788\) Native Hawaiians, \(800\) Latinos, \(2,305\) Japanese Americans, and \(3,970\) whites.

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the \(p-\)value.

State the decision and conclusion (in a complete sentence) for the following preconceived levels of $\alpha$

$\alpha =0.05$

a. Decision: ___________________

b. Reason for the decision: ___________________

c. Conclusion (write out in a complete sentence): __________________