In a right-tailed test comparing two proportions, the test statistic was zcalc = +1.5. The p-value is:
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a right-tailed test comparing two proportions, the test statistic was zcalc = + 1.5.
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- Traffic Highway planners investigated the relationshipbetween traffic Density (number of automobiles per mile)and the average Speed of the traffic on a moderately largecity thoroughfare. The data were collected at the samelocation at 10 different times over a span of 3 months.They found a mean traffic Density of 68.6 cars per mile(cpm) with standard deviation of 27.07 cpm. Overall, the cars’ average Speed was 26.38 mph, with standard devia-tion of 9.68 mph. These researchers found the regression line for these data to be Speed = 50.55 - 0.352 Density.a) What is the value of the correlation coefficientbetween Speed and Density?b) What percent of the variation in average Speed isexplained by traffic Density? c) Predict the average Speed of traffic on the thorough-fare when the traffic Density is 50 cpm. d) What is the value of the residual for a traffic Densityof 56 cpm with an observed Speed of 32.5 mph?e) The data set initially included the point Density =125 cpm, Speed = 55 mph. This…Using a 1-7ikert scale, a researcher measured respondents desirability towards cars, and he hypothesized that the respondents rated 4 out of 7 in their desirability towards 2 seat runabout sport electric vehicle. Referring to the SPSS output which of the foliowing statements /are correct? One-Sample Statistics Mean Std. Deviation Std. Error Mean Desirability: 2 Seat Runabout Sport Electric 1000 3.92 1.537 .049 One-Sample Test Test Value 4 95% Confidence Interval of the Mean Difference Sig (2-tailed) Difference Lower Upper Desirability: 2 Seat Runabout Sport Electric -1.626 999 .104 -.079 17 02 The researcher's alternate hypothesis is supported O b All answers are correct Oc The researcher's test value is higher than the average score rated by respondents. O d. The test value falls within the 95% confidence interval of the dataset.The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $ 4.87 and a standard deviation of $ 0.05. A sample of 15 Bay Area gas stations are randomly chosen. We are interested in the average cost of gasoline for the 15 service stations. The distribution to use for the average cost of gasoline for the 15 service stations is: Select one: a. N (4.87, 0.0129) b. N (0.3247, 0.0006) c. N (4.87, 0.0033) d. N (4.87, 0.0002) e. N (0.3247, 0.0033)
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- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 230 pet owners and discovered that 66 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α=0.1 level of significance. Find test statistic and p valueIn a test of HO: p = 0.50 vs. HA: p > 0.50, which of the following describes the decision rule at the 5% level of significance. I. Reject HO if the p-value is more than 0.05. II. Reject HO if the p-value is less than 0.05. II. Reject HO if the test statistic is more than 0. %3D
- A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was ?¯1=300 yards with a standard deviation of ?1=8 yards. The mean yardage for Group 2 was ?¯2=296 yards with a standard deviation of ?2=6 yards. Assume the two groups of kicks are independent. Let ?1 and ?2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium‑filled football and an air‑filled football. Assuming two‑sample ? procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval for ?1−?2 is:…A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?