3. There was a claim that five outside class activities at a college are equally likely to be chosen by students. A sample of 100 students showed the following results. Use Chi-square goodness of fit test to test the claim at 0.05 level of significance. Activities Activity 1 Activity 2 Activity 3 Activity 4 Activity 5 Number of 15 22 27 20 16 Students
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- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in…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…Only c and d
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55,80 dream in black and white, and among 287 people under the age of 25, 14 dreams in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation?To test the fairness of law enforcement in its area, a local citizens' group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.05 level of significance, test the claim of the citizens' group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 26 191 Women 10 173 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 348 of the 574 randomly selected wildfires looked at in the south were caused by humans while 272 of the 518 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 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 Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) = c. The test statistic ? ◊ your answer to 3 decimal places.) (please show
- A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? OA. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. OB. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to…K Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the sport. OB. Ho: Basketball games are not more likely to win at home than any other sport. H₁: Basketball games are more likely to win at home than any other sport. OC. Ho: The home/visitor win is dependent on the sport. H₁: The home/visitor win is not dependent on the sport. OD. Ho: Basketball games are more likely to win at…
- 1A union leader claims that absences on the different days of the week are equally likely. To test this claim, a company manager collects the data shown below. Use a 0.05 significance level to test the claim. Day Mon Tue Wed Thur Fri Absences 40 15 12 23 43 a. Before doing any calculations, do the data appear to support the union leader's claim? Why or why not? A. No, absences on The and Wed are much larger than on other days B. Yes, there are roughly the same number of absences on the different days of the week C. Yes, more absences on Mon and Fri are normal D. No, absences on Mon and Fri are much larger than on other days b. State Upper H 0 . A. At least one proportion is different than claimed B. p Subscript Mon Baseline equals 1 divided by 4 comma p Subscript Tue Baseline equals 1 divided by 4 comma p…California Department of Education deems a student to be prepared for college if she scores higher than a certain score on the SAT A survey was conducted looking at 651 students' SAT scores and it was found that 573 students were considered to be prepared for college. Use a 0.10 significance level to test the claim that the proportion of students prepared for college is equal to 80%. Claim: Select an answer v which corresponds to Select an answer v Opposite: Select an answer v which corresponds to Select an answer v The test is: Select an answer v The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Select an answer Conclusion There Select an answer v appear to be enough evidence to support the claim that the proportion of students prepared for college is equal to 80%.