2020 Election ~ Bernie Sanders is a popular presidential candidate among university students for the 2020...
2020 Election ~ Bernie Sanders is a popular presidential candidate among university students for the 2020 presidential election. Leading into Michigan’s presidential primary election in 2020, a journalist, Lauren, took a random sample of 12133 university students and found that 9674 of them support Bernie Sanders. Using this data, Lauren wants to estimate the actual proportion of university students who support Bernie Sanders.
We want to use statistical inference to estimate the actual proportion of university students who support Bernie Sanders.
To use a normal distribution in this scenario, which of the
following conditions must be satisfied?
Any two samples must be independent of each other.
The observations within the sample must be independent of each other.
Both n×p0n×p0 and n×(1−p0)n×(1-p0) must be at least 10 where p0p0 is the null value for the population proportion.
There must be at least 10 observed successes and 10 observed failures in the sample.
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2020 Election ~ Bernie Sanders is a popular
presidential candidate among university students for the 2020...
Leading into Michigan's presidental primary election in 2020, a journalist, Lauren, took a random sample of...
Leading into Michigan's presidental primary election in 2020, a journalist, Lauren, took a random sample of 12133 university students and found that 9674 of them supported Bernie Sanders. Using this data, Lauren wants to estimate the actual proportion of university students who support Bernie Sanders. We want to use statistical inference to estimate the actual proportion of university students who support Bernie Sanders. To use a normal distribution in this scenario, which of the following conditions must be satisfied? Both...
Police stops ~ The Minneapolis Police Department records data on all traffic stops made by their...
Police stops ~ The Minneapolis Police Department records data on all traffic stops made by their police officers such as race, gender, reason, citation issued, etc. To estimate the proportion of female drivers who are stopped, the chief of police takes a random sample of 100 traffic stops and finds that in 20 of them, the driver was female. Using this data, the chief of police wants to estimate the actual proportion of drivers who are stopped that are female....
Game of Thrones ~ The creators David Benioff and D. B. Weiss of the TV show...
Game of Thrones ~ The creators David Benioff and D. B. Weiss of the TV show “Game of Thrones”, want to know how popular Season 8 was among the show’s fans. They hired an analyst who collected a random sample of 41035 Game of Thrones fans, and found that 8243 of those fans said that they like Season 8. Using this data, the analyst wants to estimate the actual proportion of fans who like Season 8. We want to use...
2. We refer to a recent poll on Democratic candidates for the Presidential election 2020, among...
2. We refer to a recent poll on Democratic candidates for the
Presidential election 2020, among a random national sample of 1,003
adults. Results have an error margin of plus or minus 3.5
percentage points. In the poll, Joe Biden, Elizabeth Warren, and
Bernie Sanders were answered to be an appropriate candidate by 27%,
21%, and 19%, respectively. Assume the level of significance, α =
5%.
(a) Calculate the standard deviation of the sample. (25 pts)
(b) Evaluate the result...
Mars migration ~ Living on Mars would be a dream come true for many Americans after...
Mars migration ~ Living on Mars would be a dream come true for many Americans after popular movies such as Total Recall, The Martian, and John Carter, which are based on Mars. To gauge public interest, a nationwide survey conducted by SpaceX on whether people would like to live on Mars found that 777 out of 930 randomly selected Americans would indeed like to live on Mars. Using this data, Douglas wants to estimate the actual proportion of Americans who...
Pacific Brant ~ Air traffic affects the migratory flights of a species of small goose called...
Pacific Brant ~ Air traffic affects the migratory flights of a species of small goose called the Pacific Brant. When an aircraft flies over a flock of birds, it is called overflight. To estimate the proportion of overflights that affect Pacific Brant’s migratory flights, Wayne takes a random sample of 55 overflights and finds that 35 of them affected Pacific Brant’s migratory flights. Using this data, Wayne wants to estimate the actual proportion of Pacific Brant’s migratory flights that are...
2. We refer to a recent poll on Democratic candidates for the Presidential election 2020, among...
2. We refer to a recent poll on Democratic candidates for the Presidential election 2020, among a random national sample of 1,003 adults. Results have an error margin of plus or minus 3.5 percentage points. In the poll, Joe Biden, Elizabeth Warren, and Bernie Sanders were answered to be an appropriate candidate by 27%, 21%, and 19%, respectively. Assume the level of significance, a = 5%. (a) Calculate the standard deviation of the sample. (25 pts) Note: Convert the results...
Harry Potter ~ Many people love reading books like Harry Potter. Historically, it has been estimated...
Harry Potter ~ Many people love reading books like Harry Potter. Historically, it has been estimated that the proportion of book readers, who like to read fiction, is 0.6. Camille is a Harry Potter fan and a fan of fiction books. She wants to determine if the actual proportion of book readers who like to read fiction is different from the historical value. From a recent survey of randomly selected 15000 book readers, she learns that 7000 like to read...
A presidential candidate's alde estimates that, among all college students, the proportion p who intend to...
A presidential candidate's alde estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60%. IF 114 out of a random sample of 220 college students expressed an intent to vote, can we reject the aide's estimate at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in...
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to...
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%. If 194 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in...
2. We refer to a recent poll on Democratic candidates for the
Presidential election 2020, among a random national sample of 1,003
adults. Results have an error margin of plus or minus 3.5
percentage points. In the poll, Joe Biden, Elizabeth Warren, and
Bernie Sanders were answered to be an appropriate candidate by 27%,
21%, and 19%, respectively. Assume the level of significance, α =
5%.
(a) Calculate the standard deviation of the sample. (25 pts)
(b) Evaluate the result...
2. We refer to a recent poll on Democratic candidates for the Presidential election 2020, among a random national sample of 1,003 adults. Results have an error margin of plus or minus 3.5 percentage points. In the poll, Joe Biden, Elizabeth Warren, and Bernie Sanders were answered to be an appropriate candidate by 27%, 21%, and 19%, respectively. Assume the level of significance, a = 5%. (a) Calculate the standard deviation of the sample. (25 pts) Note: Convert the results...
A presidential candidate's alde estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60%. IF 114 out of a random sample of 220 college students expressed an intent to vote, can we reject the aide's estimate at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in...
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%. If 194 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in...
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