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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.

Short Answer

Expert verified

\(\alpha =0.05\) So take decision “reject the null hypothesis \(H_{0}\)”because \(p-value<\alpha\) so \(p-\)value is \(0\) therefore “reject the null hypothesis” so the alternative got accepted so there is sufficient evidence to conclude that self reported ethnicity is dependent of the smoking levels per day.

Step by step solution

01

Step 1. Given information

Given graph-

02

Step 2. Explanation

\(\alpha =0.05\) So take decision “reject the null hypothesis \(H_{0}\)”because \(p-value<\alpha\) so \(p-\)value is \(0\) therefore “reject the null hypothesis” so the alternative got accepted so there is sufficient evidence to conclude that self reported ethnicity is dependent of the smoking levels per day.

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Most popular questions from this chapter

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.

A six-sided die is rolled 120times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data in Table 11.34are the result of the 120rolls.

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b. If you did a left-tailed test, what would you be testing?

Read the statement and decide whether it is true or false.

In a goodness of fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis

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