5.3.28. University officials are planning to audit 1586 newappointments to estimate the proportion p who have beenincorrectly processed by the payroll department.(a) How large does the sample size need to be in order forX, the sample proportion, to have an 85% chance of lyingwithin 0.03 of p?n(b) Past audits suggest that p will not be larger than 0.10.Using that information, recalculate the sample size askedfor in part (a).

For an 85% confidence level, the z-score (Z) is approximately 1.44. The most conservative estimate…

Answered: 5.3.28. University officials are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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6. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)____phone calls(b) A report states that businesspeople can be reached by a single phone call approximately 22% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.)____phone calls
A marketing manager must decide on the size of the survey sample to be used in order to estimate the proportion of customers who are aware of her brand. She wishes to estimate this proportion to within 7 percentage points with 95% confidence. If the manager guesses that the proportion of aware customers is roughly 21%, what is the size of the sample that must be used? 131 ? CIlowerbound .2659 CIupperbound .314 Assume that 4700 customers were sampled, and that the sample proportion of aware customers was found to be 29%. Construct a 95% confidence interval for the population proportion of aware customers. X 0% ? × 0% ? X 0%
Q7
Suppose we want to know the mean number of shurikens thrown each night by ninjas in Konoha village. Getting this information from every ninja in the village would take forever. Instead, we randomly select 20 ninjas from the ninja school that is closest to us. a. Describe the statistic of interest in this survey b. The method used to obtain the sample of ninjas above is an example of which of the following (i) convenience sampling (ii) voluntary response sampling (iii) stratified random sample (iv) multi-stage sampling
3. A principal wishes to estimate the average number ofhours students spend dolngbomework per week. The standard deviaton from a prevlous study is 4.5 hours. How large a sample must be selected if he wants to be 95% confident of finding whether the true mean differes from the sample mean by 2.1 hours?
24
Previously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…
5.35 Cyberbullying, continued. Refer to Exercise 5.33. a. What is the expected number of undergraduates in your sample who say that they have received hurtful comments online in the past 30 days? What is the expected number of undergraduates who say that they have not received hurtful comments online in the past 30 days? What do the two means add up to?
4. A survey of 499 women for the American Orthopedic Foot and Ankle Society revealed that 38% wear flats to work. a. Find 99% confidence interval for the population proportion of women who wear flats to work.
Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of change if I increase the sample size to 1,000 residents?
During the month of January 2017, a total of 29,404 flights took off from a particular airport. Of all these flights, 23.9 % had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d. a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.)
Suppose 420 randomly selected people are surveyed to determine whether or not they subscribe to cable TV. Of the 420 surveyed, 250 reported subscribing to cable TV. What is the sample proportion for failures, q′? Round the final answer to three decimal places.

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