Giving a test to a group of students, the grades and genderare summarized belowAВCTotalMale1615839Female1814335Total34291174Let p represent the population proportion of all malestudents who received a grade of B on this test. Use a 99%confidence interval to estimate p to four decimal places ifpossible.< p<

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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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Cell Phones and Cancer A study of 420,095 Danish cell phone users found that0.0321% of them developed cancer of the brain or nervous system. Prior to this study of cellphone use, the rate of such cancer was found to be 0.0340% for those not using cell phones. The data are from the Journal of the National Cancer Institute. a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. b. Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not?
A. True or False? A researcher compares the BMI of two populations of individuals from different socioeconomic backgrounds and finds that the proportion of individuals considered obese and from a poor background is .37 (n = 112), and the proportion of individuals considered obese and from an affluent background is .27 (n = 87); a 95% confidence interval for the risk difference for obesity among members of the poor population compared to the affluent population is (-0.03, 0.23). B. Why is it true or false?
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed?Type 1 2143 2024 2142 2433 2142 2034 2211 1484 Type 2 2089 1924 2078 2467 2132 1949 2197 1482
Constructing a Confidence Interval for the Population ProportionThe Berkman center for Internet and Society at Harvard recently conducted a study analyzing the privacy management habits of teen Internet users. In a group of 50 teens, 13 reported having more than 500 friends on Facebook. Use the "plus four" method to find a 90% confidence interval for the true proportion of teens who would report having more than 500 Facebook friends. Work toward the required confidence interval by providing the information below. (Include three decimal places below) 1. p'= 2. z0.05= 3. EBP= 4. We are 90% confident that the true proportion is above 5. We are 90% confident that the true proportion is below 6. Suppose the researchers from the previous problem wanted to reduce their EBP by 50%. What sample size would be needed? Assume p′ is the same. n= (Round to the nearest whole number)
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? Type 1 2068 2036 2191 2577 2153 2013 2280 1551 Type 2 2036 1994 2085 2484 2188 1924 2199 1449
A restaurant asks you to estimate the proportion of their customers that order take out, instead of dining in. You observe a random sample where 87 customers dine in, and 55 customers order take out. What is the upper bound of a 90% confidence interval for p, the proportion of customers that order take out? Use the method from class (Agresti-Coull)
A study claims that girls and boys do not do equally well on math tests taken from the 2nd to 11th grades (Chicago Tribune, July 25, 2008). Suppose in a representative sample, 344 of 430 girls and 369 of 450 boys score at proficient or advanced levels on a standardized math test. (You may find it useful to reference the appropriate table: z table or t table)Let p1 represent the population proportion of girls and p2 the population proportion of boys.a. Construct the 95% confidence interval for the difference between the population proportions of girls and boys who score at proficient or advanced levels. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. Select the appropriate null and alternative hypotheses to test whether the proportion of girls who score at proficient or advanced levels differs from the proportion of boys.multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0…
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? Type 1 2197 2044 2055 2438 2198 1996 2199 1543 Type 2 2092 1932 2033 2428 2108 1977 2177 1463 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The 95% confidence interval is nothing<μd<nothing. (Round to two decimal places as needed.)
In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 90% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females?7,7,1,8,6,5,8,8,8,8,5,9 What is the confidence interval for the population mean u? __<u<__ (Round to one decimal place as needed.)
A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the West. The representative's belief is based on the results of a survey. The survey included a random sample of 12601260 midwestern residents and 13401340 western residents. 46%46% of the midwestern residents and 42%42% of the western residents reported that they were completely satisfied with their local telephone service. Find the 98%98% confidence interval for the difference in two proportions. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below. (1=not attractive; 10=extremely attractive). Construct a confidence interval using a 95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 7, 7, 3, 8, 5, 6, 6, 9, 8, 10, 4, 9 What is the confidence interval for the population mean u? __ < u < __ (Round up to one decimal place as needed)
The Rolling Stones, a rock group formed in the 1960s, have toured extensively in support of new albums. Pollstar has collected data on the earnings from the Stone’s North American tours. For 30 randomly selected Rolling Stones concerts, the mean gross earnings is $2.27 million. Assumingapopulationstandarddeviationgrossearningsof$0.5million,obtaina99% confidence interval for the mean gross earnings of all Rolling Stones concerts. Interpret your answerinwords.

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