English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of theiroverweight fees. Recently, a random sample of 288 items checked on English Air flights to North America contained 51 overweight items, and an independent,random sample of 258 items checked on English Air flights within Europe contained 27 overweight items.Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p, of all items on English Air flightsto North America that are overweight and the proportion p, of all items on English Air flights within Europe that are overweight?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H. :0H, :0(b) Determine the type of test statistic to use.(Choose one) vD=0OSO(c)e test statistic. (Round to three or more decimal places.)O English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of theiroverweight fees. Recently, a random sample of 288 items checked on English Air flights to North America contained 51 overweight items, and an independent,random sample of 258 items checked on English Air flights within Europe contained 27 overweight items.Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p, of all items on English Air flightsto North America that are overweight and the proportion p, of all items on English Air flights within Europe that are overweight?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0H, :0(b) Determine the type of test statistic to use.(Choose one) vD=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a random sample of males, it was found that 23 write with their left hands and 225 do not. In a random sample of females, it was found that 59 write with their left hands and 470 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females.
A company claims that at least 94% of equipment supplied to a manufacturer is within specifications. A test of a sample of 200 pieces of equipment showed that 27 of them were faulty. Test their claim at the 5% significance level?
On a particular proposal of national importance, males and females cast votes as included in the following table In Favor Opposed Undecided Male 90 65 43 Female 115 74 32 Suggest an appropriate test for the data and analyze it at 1% level of significance.
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A large company that produces allergy medications claims that Americans lose an average of 40 hours of work to problems related to seasonal allergies. A consumer advocacy group believes that company's claim exhibits self-interest bias. In other words, the advocacy group believes that the actual mean number of missed hours is less than claimed. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 American workers. They find that these 100 people lost and average of 38 hours due to seasonal allergy symptoms. The standard deviation is 9.5 hours. (c) Based on your selection from part (b), what is the value of the standardized test statistic for this significance test? (d) Based on your selection from part (b), what is the P-value for this significance test? (e) What is the correct decision for this test, using a 0.05 level of signifcance? A) Reject the null hypothesis B) Do not reject the null…
What social media tools do marketers commonly use? Researchers surveyed marketers who commonly use an indicated social media tool. Surveyed were B2B marketers, marketers focusing primarily on attracting businesses, and B2C marketers, marketers targeting consumers. Suppose the survey was based on 500 B2B and 500 B2C marketers and yielded the results in the table below. For each social media tool, at the 0.05 level of significance, determine whether there is a difference between B2B marketers and B2C marketers in the proportion who used each social media tool. Social Media Tool B2B B2CA 84% 91%B 84% 76%C 82 % 61%D 39% 53% What is the p-value for the test statistic and interpretation? For Tool B determine the test statistic. What is Tool B p-value 12. EOC
In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? P =0.34 (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (C) (В) (A) Ho: p 0.29 Ho:p 0.29 Ho:p 0.29 H p 0.349 Ha p (F) (E) 0.349 (A) (B) (C) (D) (E) (F) N a e W
According to a publication, 12.9% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1378 randomly selected 18 to 25-year-olds revealed that 215 currently use marijuana. At the 2% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 12.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.
In a previous poll, 29 % of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 303 of 1113 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eeat dinner together seven nights a week has decreased? Use the a 0.01 significance level. Because npo(1-PO) 10 and thee sample size is greater than 5% of the population size, and the sample can be reasonably assumed to be random the requirements for testing the hypothesis are not satisfied (Round to one decimal place as needed.) What are the null and alternative hypotheses? 29 versus H 29 Ho H (Type integers or decimals. Do not round.) Find the test statistic, zn- zo (Round to two decimal places as needed.) Find the P-value. P-value (Round to three decimal places as needed.) Is there sufficient…
In a previous poll, 37% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 396 of 1132 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level. Because npo (1-pPo) = 10 and the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied What are the null and alternative hypotheses? V versus H, O Ho (Type integers or decimals. Do not round.) Find the test statistic, Zo Z0= (Round to two decimal places as needed.) Find the P-value P-value = (Round to three decimal places as needed.) Is there sufficient evidence that the proportion of families with children…

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