You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 44%. With H p 44% you obtain a test statistic of z = 2.527 . Find the p-value accurate to 4 decimal places. p-value %3D Question Help: Message instructor D Post to forum Submit Question Jump to Answer
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- Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.A law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0? Does the result in part (a) allow you to conclude that there is a strong correlation between eccentricity and smoothness? Explain.
- andres asked if there is a relationship between the quality of sneakers worn by a sample of 20 volleyball players and their average number of point scored per game. he computed r= +.21 and immediately claimed he had evidence that better-quality sneakers are related to better performance (a) is his claim correct? why? (b) what are Ho and Ha? (c) with alpha=.05, what is rcrit ?Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups the same? Set alpha to .05.The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10.4 2 3.4 6 6.2 1.2 2.7 3.1 0.8 5 Crime Rate 12.6 8.9 7.5 8.9 7.8 9.3 8 7.4 8.6 9.3 (a) Calculate r. _______(ii) Calculate the critical region._____ (smaller value) ______(larger value)(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that ? ≠ 0.Reject the null hypothesis, there is significant evidence that ? ≠ 0. Fail to reject the null hypothesis, there is not significant evidence that ? ≠ 0.Fail to reject the null hypothesis, there is significant evidence that ? ≠ 0.
- The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at a = .05? (Give your answers correct to three decimal places.) Population 10 2.3 1.4 6 2.7 6 1.9 1.7 2.1 6.7 Crime Rate 12.4 6.7 7.8 7.4 8 7 8.9 9.1 8 7.7 (a) Calculate r.(ii) Calculate the critical region. (smaller value) (larger value)An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…From the following data points (15, 24), (18, 37), (22, 25), find the Newton’s second-order divided difference. Round-off to three decimals.
- J 1 Consider the hypothesis statement to the right using a=0.01 and the data to the right from two independent samples. A) calcuate the appropriate test statistic and interpret the results b) calculate the p value and interpret the resultsThe population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10 2.3 1.4 6 2.7 6 1.9 1.7 2.1 6.7 Crime Rate 12.4 6.7 7.8 7.4 8 7 8.9 9.1 8 7.7 (ii) Calculate the critical region. (smaller value) (larger value)The Psychology Club is trying to submit their budget for the semester to the Office of Student Involvement. In order to continue to receive funding in future semesters, there needs to be close predictions between what is expected and what is actually observed. They request funds for four categories of promotional items based on 300 students who registered for the club. Use the data below and answer the questions. Shirts Hats Cups Stickers Observed 198 43 55 4 Expected 125 75 80 20 By hand, calculate a Chi-Square Goodness of Fit and submit your work to the assignments folder. a. What is the χ2obt? b. What is the df? c. What is the χ2crit? d. What is the effect size? Interpret. Using the Goodness of Fit calculator, confirm your calculations. e. What is the uncorrected χ2obt? f. Overall, interpret this goodness of fit test. Does it look like the Psychology Club officers did a good job of predicting the frequencies?
