A recent study of 100 individuals found the following living arrangements for men and women. Can it be concluded that there is a dependent relationship between gender and living arrangements at the α = 0.025 level of significance
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A recent study of 100 individuals found the following living arrangements for men and women. Can it be concluded that there is a dependent relationship between gender and living arrangements at the α = 0.025 level of significance. Use the chi-square test of independence.
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- Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. . A statistics professor wants to know if students who turn their homework in on time get higher exam grades than students who do not turn their homework in on time.A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know 307 Male 139 60 Female 327 158 59 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: The sex of the respondent and the choice for the cause of global warming are independent. The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.)A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) V10: and the sample size n is less than 5% of the population size, we may the normal model to test the hypothesis. The P-value is. (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect (Type integers or decimals rounded to three decimal places as…
- An 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 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of…Chi-sauare distribution table Question Viewer Degrees of Freedom 1 234569 7 8 10 0.995 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 0.99 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 Area to the Right of the critical value 0.975 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 0.95 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 I 0.90 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.362 14.684 15.987A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
- A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…
- Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education 12 15 14 13 18 10 16 12 10 4 Score on Prejudice Test 1 6 2 3 2 4 1 5 5 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the decision for this hypothesis test? Reject the null because the absolute value of the test statistic is greater than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha. Reject the null because the absolute value of the test statistic is less than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is greater than the…Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 380 of the 581 randomly selected wildfires looked at in the south were caused by humans while 318 of the 503 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer v (please enter a decimal) Hj: Select an answer Select an answer vSelect an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... |the null hypothesis. O The results are statistically significant at a = 0.10, so there is sufficient evidence to…How would you find (a.) and (b.)?? As well as finding the test statistic and p-value?