The Associated Press found that 730 of 1000 randomly selected adultspreferred to watch movies at home rather than a movie theater. Is thereconvincing evidence that the majority of adult Americans prefer watchingmovies at home? State the alternative hypothesis.Ha:μ # 50, where p is the true proportion of adult Americans who prefer watchingmovie at homeHa:μ < 50, where p is the true proportion of adult Americans who prefer watchingmovie at homeHa: p > 50, where p is the true proportion of adult Americans who prefer watchingmovie at homeHa: p # 50, where p is the true proportion of adult Americans who prefer watchingmovie at home

Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Answered: The Associated Press found that 730 of…

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 survey of 500 drivers from the South, 408 wear a seat belt. In a survey of 370 drivers from the Northeast, 288 wear a seat belt. At a = 0.07, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Hg and H Choose the correct answer below. O B. Ho: P1 = P2 OC. Ho: P, * P2 O A. Ho: P1 > P2 H: P, SP2 H: P, *P2 Ha: P1 = P2 O D. Ho: P1 P2 OF. Ho: P1 2 P2 H,: P, OC. z
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is
A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…
) In the recent study, US graduates of for-profit higher institutions were between 4.8 and 6.7 percentage points more likely to ne unemployed than those at nonprofit institutions and community colleges. Determine the population, the sample, and population parameter of sample statistic. B) Explain the difference between Amelia making an 82 on her pre-calculus exam and scoring in the 82nd percentile in mathematics on the ACT test.
An automotive company is conducting a survey concerning consumer buying preferences of a particular truck. The company wants to know whether the truck appearance, miles per gallon (MPG), or fixed price most influenced the consumer’s buying decision. A population sample of 500 individuals, both male and female, will be surveyed. State the null and alternative hypothesis if your were to test whether there is any difference in proportion using the three different criterion to purchase the given car based on gender.
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A newspaper article claims that 92 percent of teens use social media. To investigate the claim, a polling organization selected a random sample of 100 teens, and 96 teens in the sample indicated that they use social media. Given the data, why is it not appropriate to use a one-sample z-test for a proportion to test the newspaper’s claim? The random sample condition is not met. A The sample is more than 10% of the population. B The observed number of teens in the sample who do not use social media is less than 10. C The expected number of teens in the sample who do not use social media is less than 10. D The distribution of the population is not approximately normal.
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A poll found that 80% of American adults believed that there was a conspiracy in the death of President Kennedy. A later poll asked 1097 American adults if they believe there was a conspiracy in the assassination, and found that 834 believe there was a conspiracy. Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level. State the hypotheses. Họ: P ?v H,: P ?v Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .01, fail to reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Họ- O Since the p-value is greater than .01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to show that the proportion of American adults who…
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