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

Let α=0.05

Decision: ________________

Reason for the Decision: ________________

Conclusion (write out in complete sentences): ________________

Short Answer

Expert verified

The graph:

α=0.05

Decision: Reject the null hypothesis and the alternative is accepted.

Reason for the Decision: p-value <α

Conclusion: AIDS cases do not reflect the ethnic makeup of Santa Clara County's general population.

Step by step solution

01

Given Information

Given data:

EthnicityPercentage of total countypopulationNumber expected (round to twodecimal places)White42.9%1748.18Hispanic26.7%BlacklAfrican-American2.6%Asian, PacificIslander27.8%Total=100%

02

Explanation

The graph:


α=0.05

Decision: The alternative is accepted if the null hypothesis is rejected.

Reason for the Decision: p-value <α.

Conclusion: AIDS cases do not reflect the ethnic makeup of Santa Clara County's general population.

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Most popular questions from this chapter

Decide whether the following statements are true or false:

As the number of degrees of freedom increases, the graph of the chi-square distribution looks more and more symmetrical.

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.

Face Value FrequencyExpected Frequency
115
229
316
415
530
615

Letα=0.05

Decision: ________

Conclusion (write out in a complete sentence.): ________

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

How did you know to test the variance instead of the mean?

A sample of 212commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. Table 11.41shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the 5% significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values.

Business
Type
Number in
class
Observed Number that recycles one commodityExpected number that recycles one commodity
office35
19
17.5
Retail/
Wholesale
48
27
24
Food/
Restaurants
53
35
26.5
Manufacturing/
Medical
52
21
26
Hotel/Mixed24
9
12

Table 11.41

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