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Statistically Significant and Binomial Distributions

Last updated over 5 years ago

11 Nsɛmmisa

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1.

40% of college textbooks cost more than $150 when purchased new. In a sample of 500 new textbooks from Wilmington University, suppose there are 175 that cost more than $150. Would this result be considered statistically significant? Include all calculations to support your final answer.

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2.

35% of all college graduates have difficulty finding a job in their field of study immediately after graduation. In a sample of 200 recent college graduates, suppose there are 78 graduates who have had difficulty finding a job in their field. Would this result be considered statistically significant? Include all calculations to support your final answer.

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8.

Using the information from above (40% of Delcastle graduates obtain a job related to their career area in Delcastle), in a random sample of 300 recent Delcastle graduates, how many would you expect to have obtained a job related to their career area after graduation? Include all calculations to support your final answer.

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3.

82% of all college students still have student loans to pay off when they graduate. In a random sample of 2,000 college students, suppose there are 1,600 that still have to pay off college loans. Would this result be considered statistically significant? Include all calculations to support your final answer.

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4.

65% of all college students have a part-time job while attending college. In a sample of 500 college students, would it be statistically significant to have 340 who have a part-time job while attending college? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

40% of Delcastle graduates obtain a job related to their career area in Delcastle. In a random sample of 340 recent DTHS graduates, what is the probability you would have:
Exactly 120 who obtained a job related to their career area after graduation? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

40% of Delcastle graduates obtain a job related to their career area in Delcastle. In a random sample of 340 recent DTHS graduates, what is the probability you would have:
At most 150 who obtained a job related to their career area after graduation? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

40% of Delcastle graduates obtain a job related to their career area in Delcastle. In a random sample of 340 recent DTHS graduates, what is the probability you would have:
At least 165 who obtained a job related to their career area after graduation? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

60% of DTHS seniors drive a car to school. In a random sample of 14 DTHS seniors, what is the probability that:
At most 6 drive a car to school? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

60% of DTHS seniors drive a car to school. In a random sample of 14 DTHS seniors, what is the probability that:
Exactly 9 drive a car to school? Include all calculations to support your final answer.

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

60% of DTHS seniors drive a car to school. In a random sample of 14 DTHS seniors, what is the probability that:
At least 8 drive a car to school? Include all calculations to support your final answer.