Question

In: Statistics and Probability

You want to determine if the lengths of roller coasters in California is different than those...

You want to determine if the lengths of roller coasters in California is different than those in Texas. Below is data that compares two samples of roller coaster in California and Texas.

CA Roller Coasters TX Roller Coasters
Number with a Length > 500 meters 20 12
Number in Sample 30 25

Test the hypothesis that the proportion of CA roller coasters that are longer than 500 meters is different than the proportion of TX roller coasters that are longer than 500 meters, using a 5% level of significance. For full points, show all steps except for the sketch. Use the STAT command in your graphing calculator for the degrees of freedom, test statistic, and p-value.

Solutions

Expert Solution

Ho:   p1 - p2 =   0          
Ha:   p1 - p2 ╪   0          
                  
sample #1   ----->              
first sample size,     n1=   30          
number of successes, sample 1 =     x1=   20          
proportion success of sample 1 , p̂1=   x1/n1=   0.6667          
                  
sample #2   ----->              
second sample size,     n2 =    25          
number of successes, sample 2 =     x2 =    12          
proportion success of sample 1 , p̂ 2=   x2/n2 =    0.4800          
                  
difference in sample proportions, p̂1 - p̂2 =     0.6667   -   0.4800   =   0.1867
                  
pooled proportion , p =   (x1+x2)/(n1+n2)=   0.5818          
                  
std error ,SE =    =SQRT(p*(1-p)*(1/n1+ 1/n2)=   0.13358          
Z-statistic = (p̂1 - p̂2)/SE = (   0.187   /   0.1336   ) =   1.3975
                  

  
p-value =        0.1623  
decision :    p-value>α,Don't reject null hypothesis               


Related Solutions

2.) You want to determine if the average height of men in California is greater than...
2.) You want to determine if the average height of men in California is greater than the average height of men in Nebraska. You take a random sample of 30 men in California and 30 men in Nebraska. The data below represents the heights of the men in inches. Write the R code that does the following: H0: Difference in means in populations is zero. Ha: Difference in means in the populations is not zero. NE_heights<-c( 73.5, 68.5, 70, 63,...
You just got a new job at Six Flags to test roller coasters. The first roller...
You just got a new job at Six Flags to test roller coasters. The first roller coaster you test has a vertical circular loop with a diameter of 25 m. The empty car you are using has a mass of 135 kg. You can measure the speed of the empty car at all points along the loop and you find it has a speed of 27 m/s at the bottom and 9.5 m/s at the top of the loop. (a)...
Church organs have a set of pipes with different lengths. With those different pipes organs can...
Church organs have a set of pipes with different lengths. With those different pipes organs can produce sounds over a wide range of frequencies. If the lowest frequency produced by an organ is 31.6 Hz, and the highest frequency is 1.80 kHz, then what is the shortest possible wavelength of sound the organ can produce? Assume that the speed of sound is 336 m/s. B) What is the longest possible sound wavelength the organ can produce?
Question 2: You want to determine if there are any Kuiper Belt objects larger than Eris....
Question 2: You want to determine if there are any Kuiper Belt objects larger than Eris. Part a: Describe the observational methods and analysis you would apply to search for them. Part b: How might you determine if any candidate objects are larger than Eris? What observational data do you need for an object to estimate its radius?
You want to determine whether there is a statistically different average weekly sales between Sales Rep...
You want to determine whether there is a statistically different average weekly sales between Sales Rep A and Sales Rep B. * Create Null and Alternative Hypothesis statements that would allow you to determine whether their sales performance is statistically different or not. * Use a significance level of .05 to conduct a t-test of independent samples to compare the average weekly sales of the two candidates. * Calculate the p-value? SAMPLE OF WEEKLY SALES Sales Rep # AverageWeekly Sales($)...
Individuals of different ethnicities are somewhat more genetically variable than those of the same ethnicity and...
Individuals of different ethnicities are somewhat more genetically variable than those of the same ethnicity and may respond to treatments differently. The FDA has recently requested that every effort be made to include individuals of all major ethnic backgrounds when enrolling subjects in clinical trials. A study described the efficacy of calcium and vitamin D supplementation in preventing hip and other fractures in healthy postmenopausal women. Here is the breakdown by major ethnic group of the subjects’ ethnicity, along with...
Are the security needs of small businesses different than those of a larger corporation? Please support...
Are the security needs of small businesses different than those of a larger corporation? Please support your answers.
You want to buy a condo and you want to comparison shop. You have 3 different...
You want to buy a condo and you want to comparison shop. You have 3 different options where the rates and years go together and 3 different condos. You will put down 15% as a down payment for each and borrow the rest from a bank. Please tell me the monthly payment and the total cost for each option. Option 1 Option 2 Option 3 Years 15 20 30 Rates .035 .045 .055 Condos costs: A B C 450,000 350,000...
Dr. Schmidt want to determine the pulse rate of drinkers is higher than the pulse rate...
Dr. Schmidt want to determine the pulse rate of drinkers is higher than the pulse rate of non-drinkers. Dr. Schmidt took 2 independent samples of adult germans. Use the sample statistic below to test the claim that the pule rat of drinkers is higher than the pulse rate of non drinkers. Drinkers 100, mean of 87, standard deviation of 4.8 Non-drinkers 100, mean of 84, standard deviation of 5.3 A) Claim, null hypo, alternative hypo B) Test to be used,...
In JAVA How can you multiply two matrices that are different lengths. the answer should be...
In JAVA How can you multiply two matrices that are different lengths. the answer should be in 3d array so [][][] how to multiply a 3d array with a 2d array and the result is in 3d array for example: double[][][] nums1 = { { {0.0, 0.1, 2.0}, {3.0,4.0,5.0} }, { {6.0,7.0,8.0}, {9.0,10.0,11.0} } } int [][] nums2 = { {1,2,3}, {4,5,6}, {7,8,9}} and the results should be in [][][] <-- in this dimension int[][][] answer = { {  {18, 21,24},...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT