### False Alarm Analysis**Introduction:**The data below represents the number of false fire alarms recorded each month at several sites.**Data Table:**| Month | Number of Alarms ||------------|------------------|| January | 32 || February | 15 || March | 37 || April | 38 || May | 45 || June | 48 || July | 46 || August | 42 || September | 34 || October | 36 || November | 28 || December | 26 |**Source:**Journal of Architectural Engineering 5:62–65**Hypothesis Testing:**Evaluate the hypothesis that false alarms are equally probable in any given month using a significance level (\(\alpha\)) of 0.01. **Crime Rates**The FBI computed the proportion of violent crimes in the United States falling into each of four categories. A simple random sample of 500 violent crimes committed in California was categorized similarly. The table below presents the results:| Category | U.S. Proportion | California Frequency ||---------------------|-----------------|----------------------|| Murder | 0.013 | 5 || Forcible Rape | 0.051 | 23 || Robbery | 0.360 | 206 || Aggravated Assault | 0.576 | 266 |Can you conclude that the proportions of crimes in the various categories in California differ from the United States as a whole? Use the 0.05 level of significance.

Name: ### False Alarm Analysis**Introduction:**The data below represents th
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### False Alarm Analysis**Introduction:**The data below represents the number of false fire alarms recorded each month at several sites.**Data Table:**| Month | Number of Alarms ||------------|------------------|| January | 32

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message. The hypotheses are given below: Null hypothesis: H0: The false alarms are equally likely to occur in any month. Alternate hypothesis: H1: The false alarms are not equally likely to occur in any month. Step-by-step procedure to find the test statistic and P-value using MINITAB: In Stats, select Tables and choose Chi-square Goodness of Fit Test (one variable). In Observed count, select Number of Alarms. In Proportion, Choose Equal proportion. Click Ok.Output obtained using Excel is given below: From the output, the test statistics is 27.7916 and the P-value is 0.003. Decision rule: If the P-value of the test is less than the level of significance, reject H0. Otherwise, fail to reject the null hypothesis H0. Conclusion: The level of significance is 0.01 and the P-value is 0.003. Here, P-value is less than the level of significance. Thus, the decision is “reject the null hypothesis”. Therefore, there is no evidence to conclude that the false alarms are equally likely to occur in any month

Math

Statistics

False alarm: The numbers of false fire alarms were counted each month at a number of sites. The results are given in the following table. Month Number of Alarms January 32 February 15 March 37 38 April May 45 June 48 July August 46 42 September 34 October 36 November 28 December 26 Source: Journal of Architectural Engineering 5:62-65 Test the hypothesis that false alarms are equally likely to occur in any month. Use the a = 0.01 level of

False alarm: The numbers of false fire alarms were counted each month at a number of sites. The results are given in the following table. Month Number of Alarms January 32 February 15 March 37 38 April May 45 June 48 July August 46 42 September 34 October 36 November 28 December 26 Source: Journal of Architectural Engineering 5:62-65 Test the hypothesis that false alarms are equally likely to occur in any month. Use the a = 0.01 level of

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

You are interested in comparing sleep habits of elementary school children. Suppose you have agroup of eighth graders. You asked them in July to estimate about how many hours of sleep they get pernight, on average. You asked those same individuals the same question again in November, during theschool year. Which is the most appropriate test to use?
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 89 Lane 2 90 Lane 3 92 Lane 4 101
Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. A popular urban legend is that more babies than usual are born during certain phases of the lunar cycle, especially near the full moon. Suppose that a certain paper classified births according to the lunar cycle. Data for a sample of randomly selected births, consistent with summary quantities in the paper, are given in the accompanying table. Lunar Phase Numberof Days Numberof Births New Moon 24 7,670 Waxing Crescent 152 48,442 First Quarter 24 7,589 Waxing Gibbous 149 47,814 Full Moon 24 7,711 Waning Gibbous 150 47,595 Last Quarter 24 7,733 Waning Crescent 152 48,240 Calculate the value of the Χ2 goodness-of-fit test statistic that could be used to determine if the distribution of number of births in each lunar phase is what would be expected based on the number of days in each phase. Use the value of the test statistic to…
A research group conducted an extensive survey of 2958 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1467 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed f we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.6% of the population percentage? (Hint: Use p≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) USE SALT workers
The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratiost. 9 20 11 35 19 13 15 21 29 53 16 26 21 14 21 27 10 12 47 14 40 18 60 72 33 14 8 49 5 16 8 19 12 31 67 51 26 18 17 20 19 13 25 23 27 44 20 27 19 18 32 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.) (b) Find a 90% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper limit (c) Find a 99% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper…
The city of Hampton is surveying households to see if the number of cats per household has changed over the past decade. The last known average of cats per household was 1.08. What statistical procedure should you use to analyze these data? O one sample z test Oone sample t test O correlated groups t test O independent groups t test
Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day.A researcher complied a random sample of 16 Americans and asked each person how much time they spent watching television each day. The results are given below. 1.9 2.3 3.9 4.4 3.2 1.5 1.2 4.4 0.9 4 0.6 3.9 4.5 1.9 1.8 3.7 Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary.x¯=s=Using a 95% confidence level, determine the margin of error, EE, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if…
find the z score in which 93.70% of the z scores in a population are below that value