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

Short Answer

Expert verified

It is a right-tailed test.

Step by step solution

01

Given Information

Given data:

02

Explanation

The test of independence is always a right-tailed test, depending on how the test statistic is calculated.

We can assume that because observed values are not close together, big test statistics will result, and this test statistic will fall on the right tail of the chi-square curve, as it does in a goodness-of-fit test.

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Most popular questions from this chapter

Use the following information to answer the next nine exercise: The following data are real. the cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table 11.29

The percentage of each ethnic group in Santa Clary Country is as in Table shown below

H0:------

Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200passengers is taken. Table 11.31 shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

Traveling DistanceThird classSecond classFirst classTotal1-100miles2114641101-200miles1816842201-300miles16171548301-400miles12.00%142147401-500miles661022Total736760200

State the hypothesis:

H0:

Hα:

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

(b) at the 1%significance level Weights in selected apple batch (in grams): 158; 167; 149; 169;164; 139; 154; 150; 157 ; 171; 152; 161 ; 141; 166; 172;

Use the following information to answer the next nine exercise: The following data are real. the cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table 11.29

The percentage of each ethnic group in Santa Clary Country is as in Table shown below

If the ethnicities of AIDS victims followed the ethnicities of the total country population, fill in the expected number of cases per ethnic group.

Perform a goodness-of-fit test to determine whether the occurance of AIDS cases follows the ethnicities of the general population of Santa Clary Country

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

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

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