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.
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The accompanying table shows results of challenged referee calls in a major tennis tournament. 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.
Was the Challenge to the Call Successful?
|
|
|
---|---|---|
|
Yes
|
No
|
Men
|
246
|
790 |
Women
|
351
|
550
|
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- Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.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…College Degree Recipients A survey of 800 recent degree recipients found that 158 received associate degrees; 451, bachelor degrees, 21 first-professional degrees; 154, master degrees; and 16, doctorates. Is there sufficient evidence to conclude that at least one of the proportions differs from a report which stated that 23.3% were associate degrees; 51.1%, bachelor degrees; 3%, first professional degrees; 20.6%, master degrees; and 2%, doctorates? Use =α0.10.
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