Estimates of the prevalence of Alzheimer's disease have been provided by a local hospital in report as shown below: Prevalence of Alzheimer's disease (cases per 100 population) Age Group Males Female PARKING LOT PARKING PARKI LOT 65-69 2 70-74 2 75-79 5 10 80-84 30 20 85+ 20 20 Lost in a Parking Place Suppose an unrelated 77-year-old man, 76-year-old-woman, and 82-year-old woman are selecte from the community. v What is the probability that all three of these individuals A. 0.3500 have Alzheimer's disease? B. 0.316 v What is the probability that at least one of the women has c. 0.1250 Alzheimer's disease? D. 0.001 v What is the probability that at least one of the three people E. 0.3000 has Alzheimer's disease? F. 0.8728 What is the probability that exactly one of the three people has Alzheimer's disease? G. 0.1272 H. 0.5938 Suppose we know that one of the three people has Alzheimer's disease, but we do not know which one. What is the conditional probability that the affected person is J- 0.283 I. 0.28 a woman? Suppose we know two of the three people have Alzheimer's disease. What is the conditional probability that they are both women?

Section 9.1 Question #5 A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 302 people over the age of​ 55, 80 dream in black and​ white, and among 296 people under the age of​ 25, 15 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. 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 alternative hypotheses for the hypothesis​ test?   A. H0​: p1 = p2     H1​: p1 < p2 B. H0​: p1 = p2     H1​: p1 > p2 C. H0​: p1 ≤ p2     H1​: p1 ≠ p2 D. H0​: p1 ≠ p2     H1​: p1 = p2 E. H0​: p1 ≥ p2     H1​: p1 ≠ p2 F. H0​: p1 = p2     H1​: p1 ≠ p2   Identify the test statistic. z= ___________ ​(Round to…

A survey described the results of a poll of working adults in Canada. Each person in a random sample was classified according to gender and the number of vacation days he or she usually took each year. The resulting data are summarized in the given table. Days of Vacation Gender Male Female None 51 42 1-5 21 25 6-10 67 79 11-15 106 98 16-20 71 70 21-25 82 58 More than 25 118 79 (a) Is it reasonable to conclude that there is an association between gender and the number of vacation days taken?Test the appropriate hypotheses using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.)?2 =

The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual   ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188

The racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020 semester is given below. Racial/Ethnic Diversity of Post High School Students Race/Ethnicity Percent* American Indian or Alaska Native 0.4% Asian 5.3% Black or African American 9.6% Hispanic or Latino 9.6% Two or more races 2.8% Native Hawaiian or Pacific Islander <0.1% Non-Resident Alien 0.5% Unknown 1.5% White 70.2% (*Percentages may not total 100 due to rounding) What is the race/ethnicity of the majority of students at MVCC? What total percent of students were either Black or African American or Hispanic or Latino? There were 3,444 students enrolled at MVCC at the time of the study. How many (not percent) students were Asian? (The answer must be a whole number.)

A particular report included the following table classifying 816 fatal bicycle accidents that occurred in a certain year according to the time of day the accident occurred. Time of Day Number of Accidents midnight to 3 a.m. 46 3 a.m. to 6 a.m. 50 6 a.m. to 9 a.m. 85 9 a.m. to noon 72 noon to 3 p.m. 79 3 p.m. to 6 p.m. 157 6 p.m. to 9 p.m. 193 9 p.m. to midnight 134 For purposes of this exercise, assume that these 816 bicycle accidents are a random sample of fatal bicycle accidents. Do these data support the hypothesis that fatal bicycle accidents are not equally likely to occur in each of the 3-hour time periods used to construct the table? Test the relevant hypotheses using a significance level of a = 0.05. Let P1. P2: P3: P4 Ps: Pe: P7, and Pg be the proportions of accidents occurring in the eight different time periods. State the appropriate null and alternative hypotheses. O Ho: P1 = P2 = P3 = P4 = Ps = P6 = P7 = Pg = 816 H: Ho is not true. O Ho: P1 = P2 = P3 = P4 = P5 = P6 = P7 =…

The racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020 semester is given below. Racial/Ethnic Diversity of Post High School Students Race/Ethnicity Percent* American Indian or Alaska Native 0.4% Asian 5.3% Black or African American 9.6% Hispanic or Latino 9.6% Two or more races 2.8% Native Hawaiian or Pacific Islander <0.1% Non-Resident Alien 0.5% Unknown 1.5% White 70.2% (*Percentages may not total 100 due to rounding) Is race/ethnicity a qualitative or quantitative variable Is the data displayed in a frequency or relative frequency distribution?

6. A study of report writing by psychologist is conducted. A scale that measures the intelligibility of psychologist English is devised. This scale, called an "index of confusion" is devised so that low scores indicate high readability. These data are obtained on articles randomly selected from psychology journals and from unpublished reports written in 2015. Unpublished reports 2.39 Journals 1.79 1.75 1.67 1.65 2.51 2.86 2.14 1.87 1.75 1.94 2.56 2.29 2.49 1.62 2.06 1.33 2.36 2.58 2.33 1.96 1.69 1.70 2.62 2.41 1.94 a. Test the appropriate hypotheses. b. Does there appear to be a difference between u, and u, ? Explain.