84. Spending on concessions at the movies varies by age of the movie goer. A random sample of 100adults in their 40's found that 70 purchased popcorn. A random sample of 100 adults less than40 years old found that 59 purchased popcorn. a otrogong saglit & as I quit) (s)(a) State the hypotheses for determining if there is a difference in the proportion of adults whopurchase popcorn in each age group.gons afteved yourbns I quo10 (6)(b) Calculate the test statistic.rondom samp(c) Calculate the p-value.lide(10) med fel a te(d) Interpret the p-value.(e) State your conclusion.(f) Would a confidence interval for the difference in proportions contain zero? Explain withoutconstructing the interval.85. Africa and the Middle East are two of the least popular regions traveled to in study abroad.programs. Suppose a random sample of 250 college students found that 4% traveled to Africafor study abroad. A second random sample of 375 college students found that 2.667% studied inthe Middle East. Is there evidence that more students study abroad in Africa than the MiddleEast? Perform the appropriate test and include all steps.

“Since you have posted multiple questions, we will provide the solution only to the first question…

Answered: 84. Spending on concessions at the…

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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18
What is the cumulative frequency of students that scored half of the points on the SAT? choices: 1. none of the above/can't be determined 2. 26 3. 9 4. 55.5 5. 0.35 I already tried 2(26) and 5(0.35) but it was wrong.
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
(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
30
To investigate if female executives in a very large fortune 500 company are experiencing pay-discrimination: A researcher samples the incomes of 300 male and 300 female executives from that corporation. 1.) Which statistic would you use to test the income difference between male and female executives? 2.) What additional information do you need to calculate this statistic?
2.2 According to Watch Corporation, its watches usually gain or lose time over the course of a week. The following weekly gains (+) or losses (-) in seconds were recorded by a sample of 18 watches. -0.38 -0.20 -0.38 -0.32 -0.37 -0.61 -0.48 -0.47 Your answer +0.32 -0.64 -0.23 +0.30 -0.04 -0.20 Your answer +0.25 -0.68 State the null and the alternate hypotheses whether the mean gain or loss in time for the watches is 0 or not? -0.10 +0.05 By from 2.2 Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .05 significance level. How do you know that?
24
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…
the night shift workers in three of the super bo's specialty stores stock about 500 products in about 3 hours. how does the rate compare with the stocking done in the other 97 stores in the chain, which average about 496 products stocked in 3 hours? are the stockers at the specialty stores doing "better than Average" job? here's the info you need size. products stocks standard deviation specialty stores 3. 500. 12.56 all stores. 100. 496. 22.13 using these 7 steps: State the null and research hypotheses. Set the level of risk associated with the null hypothesis. Select the appropriate test statistic. Compute the test statistic value. Determine the critical value(s). Compare the obtained and critical values. Make a decision.
Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 X2 n1 30 n2 25 What are the null and alternative hypotheses for this test? A. Ho: H1 - H22 10,500 Ha: H1 - H2 10,500 Ha: H1 - H2s 10,500 O F. Ho: H1 - H2 S 10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Español A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 240 high school seniors in his random sample, 185 believe that "getting rich" is an important goal. Can he conclude, at the 0.10 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. SEE Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) 00 (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO O20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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