Students in an introductory college economics class were asked how many credits they had earned in college and how certain they were about their choice of major. Their replies are summarized below. Degree of Certainty Somewhat Certain Row Tot Very Certain 24 Credits Earned Very Certain Under 10 16 46 16 8 20 44 10 through 59 60 or more 14 22 38 Col Total 42 38 48 128 For a chi-square test of independence, degrees of freedom would be Multiple Choice : **: 4 127
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- When a group of subjects entered a room, researchers recorded both the color of shirt worn by thesubject, and whether or not the subject smiled. The results are recorded below. With 0.05significance, test the claim that color of shirt and smiling are independent. Use your calculator.Smiled No SmileGreen Shirt 15 10Blue Shirt 13 7Yellow Shirt 5 8An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 52 43 Intermediate 55 44 Full sized 61 45 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sized H0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?Electronic H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?Electronic Find the…A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…
- A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 99 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim atα= 0.05.A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Using stat crunch find the test statistics and p-value. Day Sun Mon Tues Wed Thurs Fri Sat frequency 156 200 228 243 178 205 236Use the Kruskal-Wallis Test and α = 0.05 to determine whether there is significant difference in the performance ratings forthe products.
- All manual computations must be carried with four decimal accuracy. Nickel Savings and Loan wishes to compare the two companies it uses to appraise the value of residential homes. Nickel Savings selected a sample of 10 residential properties and scheduled both firms for an appraisal. The result reported in $000 are: Home Schadek BowyersA 235 228 B 210 205 C 231 219 D 242 240 E 205 198 F 230 223 G 231 227 H 210 215 i 225 222 J 245 245 At 0.025 level of significance, can it be concluded that Bowyers has a lower mean appraisal home value? Data File:Appraisals.xlsx Determine which of the following formulations of the hypotheses is most appropriate and enter the corresponding…A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.1 level of significance? Complete parts (a) through (g).
- Fifty-five customers of a large-chain grocery store are asked to fill out an in-store survey. One of the questions on the survey asks about the use of coupons (yes or no), while another question asks how much money the customer spent on groceries during that specific trip. A store management hypothesizes that people that use coupons actually spend more money, on average. H0__________________ Ha__________________ Test Statistics ______________Which of the following Python methods is used to perform an unpaired t-test for the difference in two population means? paired_ttest from scipy module proportions_ztest from statsmodels module ttest_ind from scipy moduleA research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. System A System B System C 256 258 267 261 254 253 264 265 262 257 250 258 260 263 - 256 - -