Previously, 8.1% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. Sherandomly selects 75 workers and finds that 8 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level ofsignificance.What are the null and alternative hypotheses?0.081 versus H1:Ho: p(Type integers or decimals. Do not round.)>0.081Because npo (1- Po) -< 10, the normal model may not be used to approximate the P-value.(Round to one decimal place as needed.)

We have given that Sample size n =75 Favorable cases x =8 Population proportion p=8.1%=0.081 Sample…

Answered: Previously, 8.1% of workers had a…

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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A newsletter publisher believes that less than 36%36% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.010.01 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
According to a recent poll, the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use the following results and a 0.10 significance level to state your decision about H0. H0 : p=0.53 H1 : p≠0.53 test statistic: z = -1.6 p value = 0.1090
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1007 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal Chevrolet is more than 47%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.47; H,: p 0.47 O Ho: p > 0.47; H,: p = 0.47 O Ho: p = 0.47; H1: p + 0.47 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.
A telephone company claims that more than 15% of its customers have at least two telephone lines. The company selects a random sample of 250 customers and finds that 50 have at least two telephone lines. Does the data support the claim? Use a P- value. Which of the following is correct? a. H0: p = 0.15 versus H1: p = 0.15, reject HO at 0.05 level of significance O b. H0: p ≤ 0.15 versus Hl: p > 0.15, at 0.01 level of reject HO significance c. H0: p ≤ 0.15 versus Hl: p > 0.15, not reject HO at 0.01 level of significance O d. H0: p ≤ 0.15 versus H1: p > 0.15, not reject HO at 0.05 level of significance do do
In a previous poll, 39% 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, 422 of 1145 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 x = 0.01 significance level. Because npo (1-Po) = 272.4 > 10 and the sample size is the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P = versus H₁: ▼ V (Type integers or decimals. Do not round.) Find the test statistic, Zo- C less than 5% of the population size, and the sample is given to be random, the requirements for testing 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 sample of 200 university professors, only 28 were woman. A newspaper claims that the proportion women professors in unis are less than 10%. Set up the hypothesis test for the newspapers claim and calculate the corresponding t-statistic rounded to 3.dp At 1% significance level th evidence does not refute the claim. True or false? Explain answer.
A survey across generations of workers gathered data on engagement at work. The results for a sample of 1,000 workers are in the accompanying contingency table. At the 0.10 level of significance, is there evidence of a significant relationship between generation and level of engagement in the workplace? E Click the icon to view the contingency table. What are the null and alternative hypotheses to test? H,: No relationship exists between generation and level of engagement. H,: A relationship exists between generation and level of engagement. Generation and level of engagement Calculate the test statistic. XŠTAT =O GENERATION LEVEL OF ENGAGEMENT Millennials Gen Xers Baby Boomers Traditionalists Total Engaged Not Engaged Actively Disengaged Total (Round to two decimal places as needed.) 104 111 97 16 328 188 165 127 18 498 59 60 50 5 174 351 336 274 39 1,000 Print Done
Is there an association between daily screen time and exercise habits in high school students? Mia selects a random sample of 123 high school students and categorizes them into 1 of 3 categories of screen time and whether they exercise. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between daily screen time and exercise habits in high school students.Ha: There is no association between daily screen time and exercise habits in high school students.H0: There is no association between daily screen time and exercise habits in high school students.Ha: There is an association between daily screen time and exercise habits in high school students.H0: There is no difference in the distribution of daily screen time and exercise habits in high school students.Ha: There is a difference in the distribution of daily screen time and exercise habits in high school students.H0: There is a…
It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p = 0.9 against the alternate hypoth- esis H₁ : p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ : p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.
A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?
A nationwide survey of working adults indicates that out of 100 adults, 50 of them are satisfied with their jobs. The president of a large company believes that more than this number of employees at his company are satisfies with their jobs. To test his belief, he surveys a random sample of 100 employees, and 59 of them report that they are satisfied with their jobs. Do you support president's statement about the employee’s satisfaction? (Use a= 0.05 level of significance.) Find H0 and Ha. Find Test Statistic Identify Decision Identify Conclusion

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