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What can you conclude at the 5% level of significance?

Short Answer

Expert verified

Take decision that "reject the null hypothesis H0"because p-value <αso the given p-value is 0 so the "null hypothesis" was rejected, but the alternate hypothesis was approved, therefore there will be enough evidence to show that a passenger's ticket class selection is based on the distance they must go.

Step by step solution

01

Given Information

Given data:

ABCDE1Given Table (Observed Frequency)2Traveling DistanceThird ClassSecond ClassFirst ClassTotal31-100miles21146414101-200miles18168425201-300miles161715486301-400miles121421477401-500miles6610228Total736760200

02

Explanation

Take decision that "reject the null hypothesis H0"because p-value <αso the given p-value is 0 so the "null hypothesis" was rejected, but the alternate hypothesis was approved, therefore there will be enough evidence to show that a passenger's ticket class selection is based on the distance they must go.

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Most popular questions from this chapter

The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.17 shows the results:

Industry Sector200020102020TotalNonagriculture wage and salary13,24313,04415,01841,305Goods-producing, excluding agriculture2,4571,7711,9506,178Services-providing10,78611,27313,06835,127Agriculture, forestry, fishing, and hunting240214201655Nonagriculture self-employed and unpaid family worker9318949722,797Secondary wage and salary jobs in agriculture and private householdindustries14111136Secondary jobs as a self-employed or unpaid family worker196144152492Total27,86727,35131,37286,590

We want to know if the change in the number of jobs is independent of the change in years. State the null and alternative hypotheses and the degrees of freedom .

Is it more likely the dfis90,20,or2in the graph?

When looking at energy consumption, we are often interested in detecting trends over time and how they correlate among different countries. The information in Table 11.57 shows the average energy use (in units of kg of oil equivalent per capita) in the USA and the joint European Union countries (EU) for the six-year period 2005 to 2010. DoW? Perform the analysis at the 5% significance level.

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that 300recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table 11.45shows the data. Conduct a test of independence.

Major<\(50,000
\)50,000-\(68,999\)69,000+
English5
205
Engineering10
3060
Nursing10
1515
Business10
20
30
Psychology20
3020

Table11.45

Is there a difference between the distribution of community college statistics students and the distribution of university statistics students in what technology they use on their homework? Of some randomly selected community college students, 43 used a computer, 102 used a calculator with built in statistics functions, and 65 used a table from the textbook. Of some randomly selected university students, 28 used a computer, 33 used a calculator with built in statistics functions, and 40 used a table from the textbook. Conduct an appropriate hypothesis test using a 0.05 level of significance.

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

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