Concept explainers
A Harris Poll press release dated November 1, 2016, summarized results of a survey of 2463 adults and 510 teens age 13 to 17 (“American Teens No Longer More Likely than Adults to Believe in God, Miracles, Heaven, Jesus, Angels, or the Devil,” theharrispoll.com, retrieved December 12, 2016). It was reported that 19% of the teens surveyed and 26% of the adults surveyed indicated that they believe in reincarnation. The samples were selected to be representative of American adults and teens. Use the data from this survey to estimate the difference in the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation. Be sure to interpret your interval in context.
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Chapter 11 Solutions
Introduction To Statistics And Data Analysis
- In a group of four students, what is the probability that at least two have the same astrological sign?arrow_forwardWhat is meant by the sample space of an experiment?arrow_forwardAccording to a government statistics department, 20.2% of women in a country aged 25 years or older have a Bachelor's Degree; 16.7% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.3% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 18.4% have never married. Complete parts (a) and (b) below. (a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain. The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent. (b) Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability. The…arrow_forward
- The Russel Reynold Association surveyed retired senior executives who had returned to work. They found that after returning to work, 38% were employed by another organization, 32% were self-employed, 23% were either freelancing or consulting, and 7% had formed their own companies. To see if these percentages are consistent with those of Allegheny County residents, a local researcher surveyed 300 retired executives who had returned to work and found that 122 were working for another company, 85 were self-employed, 76 were either freelancing or consulting, and 17 had formed their own companies. State the null and alternative hypothesis and identify the claim, at α=0.10 to test the claim that the percentages are the same for those people in Allegheny Country.arrow_forwardThe results of a nationwide Gallup poll revealed that 59.3% of people polled were in favor of the death penalty. Based on the results of this Gallup poll, would it be unusual if all 12 members of a randomly selected jury were in favor of the death penaltyarrow_forwardGallup conducted a survey of 1,015 randomly selected U.S. adults about "Black Friday" shopping. They asked the following question: "As you know, the Friday after Thanksgiving is one of the biggest shopping days of the year. Looking ahead, do you personally plan on shopping on the Friday after Thanksgiving, or not?" Of the 515 men who responded, 16% said "Yes." Of the 500 women who responded, 20% said "Yes." The standard error of the differences in proportions (PM - Pw) is about SE = 0.025. Use the normal distribution to test, at the 5% level, if the proportions of men and women who planned to shop on the Friday after Thanksgiving are significantly different. The sample size is large enough to use the normal distribution. Z= i p-value = i There is ✓evidence that the proportion of men and women who planned to shop the Friday after Thanksgiving are significantly different.arrow_forward
- Gallup conducted a survey of 1,015 randomly selected U.S. adults about "Black Friday" shopping. They asked the following question: "As you know, the Friday after Thanksgiving is one of the biggest shopping days of the year. Looking ahead, do you personally plan on shopping on the Friday after Thanksgiving, or not?" Of the 515 men who responded, 16% said "Yes." Of the 500 women who responded, 20% said "Yes." The standard error of the differences in proportions (Py – Pw) is about SE = 0.025. Use the normal distribution to test, at the 5% level, if the proportions of men and women who planned to shop on the Friday after Thanksgiving are significantly different. The sample size is large enough to use the normal distribution. z = 1.6 p-value = There is evidence that the proportion of men and women who planned to shop the Friday after Thanksgiving are significantly different.arrow_forwardA recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have good luck." The poll found that just one-forth of adults (25%) believe finding and picking up a penny is good luck. Consider random sample of 15 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below. O D. A success is an adult who believes finding and picking up a penny is bad luck. b. Explain why x is (approximately) a binomial random variable. CA. Sampling 2000 adults is equivalent to performing a coin-toss type experiment. The survey only contains two options and each option can be considered a success or a failure. The survey does not change from person to person and each survey response is independent of each other. O B. Binomial random variables are always obtained through sampling. The survey only contains two options and…arrow_forwardRocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park (U.S. National Park Service website). Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. What is the probability that at least 75 visitors had a recorded entry through the Beaver Meadows park entrance? What is the probability that at least 70 but less than 80 visitors had a recorded entry through the Beaver Meadows park entrance? What is the probability that fewer than 10 visitors had a recorded entry through the Grand Lake park…arrow_forward
- Researchers followed dogs in both Areas A and B to see if they were equally affected by rabies. They took 50 dogs from each area. In Area A, 5 dogs with rabies were found and in Area B 10.A... What kind of hypotheses are they on rabies? B. What are the research findings?arrow_forwardCyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying") Offensive name-calling Spreading of false rumors Receiving explicit images they didn't ask for Constant asking of where they are, what they're doing, who they're with, by someone other than a parent Physical threats Having explicit images of them shared without their consent a.) A total of 438 of the sampled teens were considered a target of cyberbullying. Find a 92% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.)margin of error: lower limit: upper limit:arrow_forwardCyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying") Offensive name-calling Spreading of false rumors Receiving explicit images they didn't ask for Constant asking of where they are, what they're doing, who they're with, by someone other than a parent Physical threats Having explicit images of them shared without their consent a.) A total of 446 of the sampled teens were considered a target of cyberbullying. Find a 94% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.)margin of error: lower limit: upper limit: b.) What…arrow_forward
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