A simple random sample is to be taken of 572 business majors in a college to estimate the proportion favoring greater emphasis on business ethics in the curriculum. How many observations are necessary to ensure that a 95% confidence interval for the population

A simple random sample is to be taken of 572 business majors in a college to estimate the proportion favoring greater emphasis on business ethics in the curriculum. How many observations are necessary to ensure that a 95% confidence interval for the population

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Let's use SPSS to run a one-sample t-test! Imagine that you are interested in whether the number of hours students in a statistics course work each week differs from the average number of hours reported by the general student body at ASU. Thankfully, you have a data set that consists of information from students in a statistics course, including how many hours they work each week ("workhours"). You also happen to know that the average number of hours worked each week by the general student population at ASU is 25. Use the data provided to conduct a one sample t-test in SPSS comparing the sample data to the population mean.. The dependent variable for your test should be "workhours". Based on your output, the average number of hours worked each week by a sample is ________ . Enter your answer rounded to two decimal places (i.e., 10.01, not 10.1, not 10.0, not 10.010).
According to the U.S. Department of Transportation’s Air Travel Consumer Report, the nation’s 12 largest airlines recorded an on-time arrival percentage of 77.4% in 2001. Of interest is to estimate the mean delay time for the 22.6% of all flights that did not arrive on time during 2013. A simple random sample of 28 late arriving flights was selected, and the mean delay time of this sample of 28 flights was 14.2 minutes, with a sample standard deviation of s= 6.4 minutes. Use this information to calculate and interpret a 98% confidence interval for the mean delay time for all flights that did not arrive on time during 2013.
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 702.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 41 high-income individuals and found the sample mean credit score to be 721.3 with a standard deviation of 80.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. State the null and alternative hypotheses. Ho H H₁ H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There…
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 710.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 48 high-income individuals and found the sample mean credit score to be 723.6 with a standard deviation of 81.2. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Fill in the correct answers below. Ho: Hyi H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make…
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.9. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 33 high-income individuals and found the sample mean credit score to be 717.9 with a standard deviation of 83.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the g = 0.05 level of significance. State the null and alternative hypotheses. Ho: µ 704.9 H1: µ > 704.9 (Type integers or decimals. Do not round.) Identify the t-statistic, to = (Round to two decimal places as needed.)
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study. the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department's officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand. Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? Testing Officer A's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision rule Step 3: Compute the test value Step 4: Make decision Step 5: Conclusion Testing Officer B's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision…
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 708.5. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 43 high-income individuals and found the sample mean credit score to be 723.3 with a standard deviation of 84.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There…
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 705.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 37 high-income individuals and found the sample mean credit score to be 721.3 with a standard deviation of 81.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Họ: H H1: H (Type integers or decimals. Do not round.)
The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"
A national research group reported that 36% of 18-24 year olds watch a cable news channel regularly. The director of media relations at a large university wanted to know what proportion of students at her university who watch a cable news channel regularly. If it is less than 36%, then she will unsubscribe to the news channels. She sampled 200 random students and found that 63 watched cable news regularly. Should she conclude that proportion of students at her university who watch cable news regularly is less than 36% at the 8% significance level? In the context of this problem and your conclusion, what type of error is possible? In the context of this problem, what would the error be? In the context of this problem, what would be a possible consequence of this error?
In the US, 45.9% of all people have type O blood, 39.7% have type A blood, 11.2% have type B blood and 3.2% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 569 millionaires. What can be concluded at the significant level of a = 0.01. The test-statistic for this data = The p-value for this sample =
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 709.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 39 high-income individuals and found the sample mean credit score to be 724.1 with a standard deviation of 81.5. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the g = 0.05 level of significance. State the null and alternative hypotheses. Ho: H = 709.6 H1: µ > 709.6 (Type integers or decimals. Do not round.) Identify the t-statistic. tn = (Round to two decimal places as needed.)