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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:

Short Answer

Expert verified

H0:The passenger's ticket class option is unaffected by the distance they must go.

Ha : The passenger's ticket class selection is determined by the distance they must go.

Step by step solution

01

Given Information

Given data:

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

02

Explanation

The null hypothesis is H0. It's a declaration that there's no difference between sample means or proportions, or between a sample mean or proportion and the population mean or proportion. To put it another way, the difference is zero.

The alternative hypothesis is Hα: It's a population claim that goes against the null hypothesis and what we conclude when we reject H0.

We conclude that the passenger's choice of ticket class is unaffected by the distance they must travel, as defined by the null hypothesis. We conclude that the passenger's choice of ticket class is influenced by the distance they must go, as defined by the definition of alternate hypothesis.

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Most popular questions from this chapter

The manager of "Frenchies" is concerned that patrons are not consistently receiving the same amount of French fries with each order. The chef claims that the standard deviation for a ten-ounce order of fries is at most 1.5oz., but the manager thinks that it may be higher. He randomly weighs49 orders of fries, which yields a mean of 11 oz. and a standard deviation of two oz.

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

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Number of PetsFrequency02101240232031404+90

At the 1% significance level, does it appear that the distribution “number of pets” of students in the Eastern United States is different from the distribution for the United States student population as a whole? What is the p-value?

Decide whether the following statements are true or false;

The standard deviation of the chi-square distribution is twice the mean.

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