Concept explainers
Basic Computation: Testingp A random sample of 60 binomials trials resulted in 18 successes. Text the claim that the population proportion of s uccesses exceeds 18%. Use a level of significance of 0.01.
(a) Check Requirements Can a
(b) Stale the hypotheses.
(c) Compute
(d) Find the P-value of the text statistic.
(e) Do you reject or fail to reject
(f) Interpretation What do the results tell you?
Trending nowThis is a popular solution!
Chapter 9 Solutions
UNDERSTANDING BASIC STAT LL BUND >A< F
- A genetic experiment involving peas yielded one sample of offspring consisting of 437 green peas and 149 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 26% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Question content area bottom Part 1 What are the null and alternative hypotheses? A.Upper H 0 : p not equals 0.26 Upper H 1 : p greater than 0.26 H0: p≠0.26 H1: p>0.26 B.Upper H 0 : p not equals 0.26 Upper H 1 : p less than 0.26 H0: p≠0.26 H1: p<0.26 C.Upper H 0 : p equals 0.26 Upper H 1 : p greater than 0.26 H0: p=0.26 H1: p>0.26 D.Upper H 0 : p not equals 0.26 Upper H 1 : p equals 0.26 H0: p≠0.26 H1: p=0.26 E.Upper H…arrow_forwardA statistics professor takes a random sample of 25 students who have taken a special statistics class. He wants to test the null hypothesis that the grades of these students are, on average, less than or equal to those of the population of students who take the regular statistics test. The mean grade for the population is 75. The mean grade for the sample is 86 with a standard deviation of 10. Using a significance level of .05, test the null hypothesis.arrow_forwardPerform a statistical analysis/test of hypothesis, showing all the steps in hypothesis testing. DDonuts claims that the waiting time of customers for service is normally distributed witha mean of three minutes and a standard deviation of one minute. The qualityassurance department found in a sample of 50 customers that the mean waiting time is2.85 minutes. At a 0.05 level of significance, can we conclude that the mean waitingtime is less than three minutes?arrow_forward
- The weight of school bags for primary school students in Selangor according to the normal distribution with a standard deviation of 6kg. A school teacher in Bandar Baru Bangi wanted to take a random sample of the weight of student bags at her school. Determine the minimum number of school bags that the teacher needs to weigh so that the probability of the mean of the sample exceeding the mean of the population of at least 3kg does not exceed 0.011arrow_forwardnormal distribution has µ=80 standard deviation of 10. what is probability of randomly selecting a score greater than 90 from this distribution?arrow_forwardA simple random sample of the running time of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 0.05 level of significance. Assume that the lengths of movies are normally distributed.(a) State the claim, null hypothesis and alternative hypothesis needed to test this claim.Claim: H0: H1:(b) Find the value of the test statistic needed to test this hypothesis.arrow_forward
- A study of snow in Wyoming has a mean thickness of 68cm. A random sample of 12 snow piles in Washington has a mean sample thickness of 64.5cm and a stand. dev. of 7.9cm. Let's say the thickness has a normal distribution and we use an a=10% level of significance to test that the mean thickness of snow in Washington is less than Wyoming's snow thickness. What is the null and alternate hypothesis? How do we find the critical value and test statistic? We also need to make a decision about the null hypothesis using the test statistic and the traditional method then summarize a final conclusion.arrow_forwardA random sample of 30 binomials trials resulted in 12 successes. Test the claim that the population proportion of successes does not equal 0.50 . Use a level of significance of 0.05. Can a normal distribution be used for the pˆ distribution? Explain. State the hypotheses. Compute pˆand the corresponding standardized sample test statistic. Find the P-value of the test statistic. Do you reject or fail to reject H0Explain.arrow_forwardgenetic experiment involving peas yielded one sample of offspring consisting of 415 green peas and 151 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Question content area bottom Part 1 What are the null and alternative hypotheses? A.Upper H 0 : p not equals 0.25 Upper H 1 : p greater than 0.25 H0: p≠0.25 H1: p>0.25 B.Upper H 0 : p not equals 0.25 Upper H 1 : p equals 0.25 H0: p≠0.25 H1: p=0.25 C.Upper H 0 : p not equals 0.25 Upper H 1 : p less than 0.25 H0: p≠0.25 H1: p<0.25 D.Upper H 0 : p equals 0.25 Upper H 1 : p greater than 0.25 H0: p=0.25 H1: p>0.25 E.Upper H 0…arrow_forward
- A random sample of size 64 is drawn from a population with mean 80 and standard deviation 20. Describe the sampling distribution of the sample meanarrow_forwardTrials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. a. The test statistic is z equals (Round to two decimal places as needed.) b. The P-value is (Round to four decimal places as needed.)arrow_forwardtrials in an experiment with a polygraph include 98 results that include 23 cases of wrong results and 75 cases of Craig results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the no hypothesis, alternative hypothesis, test tested, P value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P value method. Use a normal distribution as an approximation of the binomial distribution.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman