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# MAT 205 Section .Graded HA #6 Name ________________________ Please print the homework, solve the problems, and turn in your solutions on due date...

[15] An airline's public relations department says that the airline rarely loses passengers' luggage. It further claims that on those occasions when luggage is lost, 92% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 133 out of 150 people who lost luggage on that airline were reunited with the missing items by the next day. Does this show that if fact less
than 92% of lost luggage is recovered and delivered to its owner within 24 hours? Use α=0.05.
Parameter tested (in words): …………………………………………………
Hypotheses H0: …………….. HA: ……………………….
Observed value of the test statistics: ……………………………
P-value: ………………………………………
Conclusion at α = 0.05: ………………………………….

MAT 205 Section …….Graded HA #6 Name ________________________ Please print the homework, solve the problems, and turn in your solutions on due date Show your work! (except for multiple choice questions) Number of points for each problem is in brackets [ ]. YOU MAY USE A CALCULATOR FOR EACH PROBLEM 1. [2] 4% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles. The manufacturer hopes that the redesign of one of the engine's components has solved this problem. Mark the proper answer: A) H 0 : P < 0.04 H A : P > 0.04 B) H 0 : P < 0.04 H A : P = 0.04 C) H 0 : P = 0.04 H A : P > 0.04 D) H 0 : P = 0.04 H A : P < 0.04 E) H 0 : P >0.04 H A : P = 0.04 2. [15] An airline's public relations department says that the airline rarely loses passengers' luggage. It further claims that on those occasions when luggage is lost, 92% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 133 out of 150 people who lost luggage on that airline were reunited with the missing items by the next day. Does this show that if fact less than 92% of lost luggage is recovered and delivered to its owner within 24 hours? Use α=0.05. Parameter tested (in words): ………………………………………………… Hypotheses H 0: ……………. . H A : ………………………. Observed value of the test statistics: …………………………… P-value: ……………………………………… Conclusion at α = 0.05 : ………………………………….
3. [15]. The International Olympic Committee states that the female participation in the 2004 Summer Olympic Games was 42%, even with new sports for women such as weight lifting, hammer throw, and modern pentathlon being added to the Games. Broadcasting and clothing companies want to change their advertising and marketing strategies if the female participation increases at the next games. An independent sports expert arranged for a random sample of pre - Olympic exhibitions. The sports expert reported that 202 of 454 athletes in the random sample were women. Is this strong evidence that the participation rate may increase ? Use α=0.10. Parameter tested (in words): ………………………………………………… Hypotheses H 0: ……………. . H A : ………………………. Observed value of the test statistics: …………………………… P-value: ……………………………………… Conclusion at α = 0.10 : …………………………………. 4. [15] According to a June 2004 Gallup poll, 28% of Americans “said there have been times in the last year when they haven’t been able to afford medical care.” Is this proportion different for black Americans than for all Americans? In a random sample of 801 black Americans, 38% reported that there had been times in the last year when they had not been able to afford medical care. Use α=0.01 Parameter tested (in words): ………………………………………………… Hypotheses H 0: ……………. . H A : ………………………. Observed value of the test statistics: …………………………… P-value: ……………………………………… Conclusion at α = 0.01 : ………………………………….
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