Answered: Use a 0.05 significance level to test…

Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned.

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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Was the Challenge to the Call Successful?
	Yes	No
Men	246	790
Women	351	550

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A 2010 survey asked 823 randomly sampled registered voters in California "Do you support or oppose drilling for oil and natural gas off the coast of California? Or, do you not know enough to say?" The responses were separated based on whether or not the respondent graduated from college. College Graduate Not a College Graduate Support 153 139 Oppose 190 124 Do Not Know 106 111 Total 449 374 (a) Find the following proportions: Pcollege grads; do not know = .23608 Pnoncollege grads; do not know = .29679 (b) Conduct a hypothesis test to determine if this difference is statistically significant (Pcollege grads; do not know Pnoncollege grads; do not know) and - thus determine whether the data provide strong evidence that the proportion of college graduates who do not have an opinion on this issue is different than that of non-college graduates. Test Statistic = P-Value =
The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked, "Are the high schools in your state doing an excellent, good, fair, or poor job, or don't you know enough to say?" Here are the survey results: The group used a chi-square test for homogeneity to assess differences between the three parent groups. Do these data provide convincing evidence that the distributions of opinion about high schools differ for the three populations of parents at the α = 0.05 level? Color Excellent Good Fair Poor Don't know Total Black 12 69 75 24 22 202 Survey Type Hispanic White Total 34 22 68 55 81 205 61 60 196 24 24 72 28 14 64 202 201 605 Which of the following is false? The hypotheses are Ho: There is no difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. Ha:…
All Races Educational Attainment High school Some Associate's Associate's 11th 1st - 4th 5th - 6th 7th - 8th grade college, no degree 9th 10th Bachelor's Master's degree, occupational degree, Professional Doctoral Total None grade grade grade grade grade? graduate academic degree degree degree degree Both Sexes 3,150 18 years and over 18 to 24 years 250,563 834 1,469 3,163 3,413 3,604 3,958 10,118 70,947 45,028 10,381 14,168 53,312 22,459 4,557 3,375 49,937 29,085 66 57 52 101 240 562 3,508 8,688 10,338 641 1,171 245 14 28 4,529 25 years and over 25 to 29 years 30 to 34 years 221,478 769 1,412 3,111 3,312 3,365 3,397 6,611 62,259 34,690 9,741 12,998 22,214 3,136 1,803 2,294 2,643 23,277 72 41 112 132 233 254 667 6,089 4,243 978 1,438 6,823 171 221 21,932 42 77 212 223 250 275 675 5,549 3,287 1,018 1,305 5,904 360 461 35 to 39 years 40 to 44 years 45 to 49 years 50 to 54 years 55 to 59 years 60 to 64 years 65 to 69 years 70 to 74 years 75 years and over Male 21,443 63 118 274 229 390…
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 dream in black and white. Use a 0.05 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. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence…
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A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn't have a flat tire, would they be able to identify the same tire? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right…
A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? Red A Green B Blue C Yellow D Orange
A police department released the numbers of calls for the different days of the week during the month of October as shown in the table to the right. Use 8.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental air with this analysis?
Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,
Among 5,000 items of randomly selected baggage handled by American Airlines, 20 were lost. Among 4,000 items of randomly selected baggage handled by Delta Airlines, 18 were lost. Use a 0.01 significance level to test the claim that both airlines lose the same proportion of baggage. a. Define the parameters A. p 1 equals The proportion of baggage carried by American that arrived on-time p 2 equals The proportion of baggage carried by Delta that arrived on-time B. p 1 equals The proportion of bags selected from American Airlines p 2 equals The proportion of bags selected from Delta Airlines C. p 1 equals The proportion of all baggage lost by American Airlines p 2 equals The proportion of all baggage lost by Delta Airlines D. mu 1 equals The mean number of bags lost by American airlines mu 2 equals The mean number of bags lost by Delta airlines b. State the null and…
A mayor running for re-election claims that during his term, average municipal taxes have fallen by $125. A conscientious statistician wants to test this claim. He surveys 37 of his neighbors and finds that their taxes decreased (in dollars) as follows: 121, 139, 121, 125, 118, 145, 141, 91, 127, 136, 144, 154, 131, 139, 139, 125, 108, 130, 125, 106, 137, 148, 154, 134, 137, 112, 96, 114, 114, 126, 133, 129, 94, 129, 148, 163, 121 The statistician assumes a population standard deviation of $19. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ?v= Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ♥ = P(? ? ♥
Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an significance level to test the claim. The test statistic is Construct a 99% confidence interval for the mean of the differences between males and females.