A company has an office in Austin, Texas, and an office in Copenhagen, Denmark. The company wants to know how employees get to work, so they take a survey of all the employees and summarize the results in a table. Answer the following question, round your answer to three decimal places. Walk Car Public Transit Bike Total Austin 63 376 125 63 626 Copenhagen 48 67 95 267 477 Total 111 443 220 330 1,103 If an employee is selected at random, what is the probability that they work in Austin and drive a car to work?
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- In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of their Chips Ahoy cookies contained at least 1000 chocolate chips. Dedicated statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips. Some of their data are given below.1219 1214 1087 1200 1419 1121 1325 1345 1244 1258 1356 1132 1191 1270 1295 1135Find a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies.Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 8383 289289 2 116116 290290 3 101101 287287 4 8181 262262 5 110110 288288 6 119119 269269 7 6060 268268 8 6161 280280 Using games won as the explanatory variable xx, do the following: (a) The correlation coefficient is r=r= . (b) The equation of the least squares line is y^=y^=A consumer watchdog organization is concerned about credit card debt. A survey of 10 young adults with credit card debt of more than $2,000 showed they paid an average of just over $100 per month against their balances. Listed below are the amounts each young adult paid last month. $110 $126 $103 $93 $99 $113 $87 $101 $109 $100
- The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3632 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.01, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 876 393 342 Multiple-vehicle 1143 475 403 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are . Ha: The type of crash and the type of vehicle are . (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are . The alternative hypothesis is the claim. Part 2 (b) Determine the degrees of…You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent Ha: The type of crash and the type of vehicle are ▼ dependent independent The ▼ alternative hypothesis null hypothesis is the claim. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are Determine…
- You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent . Ha: The type of crash and the type of vehicle are ▼ dependent independent . The ▼ alternative hypothesis null hypothesis is the claim.The television show NBC Sunday Night Football broadcast a game between the Coltsand Patriots received a share of 22, meaning that among the TV sets in use, 22% were tuned to thegame (based on Nielson data). An advertiser wants to obtain a second opinion by conducting itsown survey, and a pilot survey begins with 33 households having TV sets in use at the time of thatsame NBC Sunday Night Football broadcast.Find P(X≤6)=?According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 0.37. Jason conducts a survey of thirty 20- to 24-year-olds who live on their own and finds that 16 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20- to 24-year-olds who live on their own and don’t have a landline is greater than 0.37? Use an a=0.10 level of significance. Note
- 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.)For unemployed persons in the United States, the average number of months ofunemployment at the end of December 2009 was approximately seven months(Bureau of Labor Statistics, January 2010). Suppose the following data are for aparticular region in upstate New York. The values in the first column show thenumber of months unemployed and the values in the second column show thecorresponding number of unemployed persons.MonthsUnemployedNumberUnemployed1 10292 16863 22694 26755 34876 46527 41458 35879 2325 10 1120Let x be a random variable indicating the number of months a person is unemployed.a. Use the data to develop an empirical discrete probability distribution for x.b. Show that your probability distribution satisfies the conditions for a validdiscrete probability distribution.c. What is the probability that a person is unemployed for two months or less?Unemployed for more than two months?d. What is the probability that a person is unemployed for more than sixmonths?According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.