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Advanced Math Topics

Advanced Math Topics. 9.7 The Estimation of Proportions. 40% of all customers at McDonald’s supersize their meal. You sampled 50 customers and found that 38% of them supersized their meal. The variable p stands for the population proportion. p = 40 or .40.

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Advanced Math Topics

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  1. Advanced Math Topics 9.7 The Estimation of Proportions

  2. 40% of all customers at McDonald’s supersize their meal. You sampled 50 customers and found that 38% of them supersized their meal. The variable p stands for the population proportion. p = 40 or .40 The variable (p hat) stands for the sample proportion. = 38 or .38

  3. It is known that 70% of all airplane tickets sold by a certain company are round-trip tickets. A random sample of 100 passengers is taken. What is the probability that at least 75% of these passengers have round trip tickets? There is a large population in which a proportion of the population has a certain characteristic. We select random samples of size n and determine the proportion in each sample with the characteristic. Then the sample proportions will be approximately normally distributed with mean p (the population proportion) and standard deviation… Similar to our z formula… 0.3621 p = 75% z = 1.09 p = 70% .5 – 0.3621 = 0.1379 = 13.79%

  4. A union member reported that 80 out of 120 workers interviewed supported some form of work stoppage to further its demands for a shorter workweek. Find a 95% confidence estimate of the true proportion of workers supporting the union’s stand on work stoppage. The following is a 95% confidence interval for p. A 90% confidence interval would be the same but replace 1.96 with 1.645. 0.5823 to 0.7510 There is a 95% chance that the true proportion of union worker’s in favor of the union’s stand is between 58.23% and 75.10%

  5. From the HW P. 464 5) Police department agents claim that 80% of drivers on the highway do not obey the speed limit. If a random sample of 60 cars on the highway is selected, find the probability that fewer than 75% of them do not obey the speed limit. 16.60%

  6. From the HW P. 464 6) A random sample of 390 students taking a math course found that 260 of them believed that math finals should be optional. Find a 90% confidence interval for the true proportion of students who think math finals should be optional. 62.74% - 70.59%

  7. From the HW P. 306 P. 464 #1-7, 9, 11 Makeups tomorrow after school

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