Question

Here's an example to give you an idea about what you'll be doing: In 1999, 55.1%...

Here's an example to give you an idea about what you'll be doing: In 1999, 55.1% of high school students in the U.S. played on a high school sports team. A researcher hypothesizes that this percentage is different now.

Hypotheses: H0: current percentage = 55.1% Ha: current percentage =/= 55.1% (Non-directional)

  1. Type I error: Concluding that the percentage of high school students who play sports in the US has changed in 1999, when in reality, it has not changed.
  2. Type II error: Concluding that the percentage of high school students in the US who play sports is the same as it was in 1999 when in reality it has changed.

Scenario A. A researcher hears that people who are in romantic relationships that begin online have higher relationship satisfaction than those who began their relationship by meeting in person. She decides to test this. Which is the null hypothesis?

A) H0: online relationships = in-person relationships

B) H0 online relationships > in-person relationships

Scenario A. A researcher hears that people who are in romantic relationships that begin online have higher relationship satisfaction than those who began their relationship by meeting in person. She decides to test this. Which is the alternative hypothesis? (pay attention to whether it is directional or non-directional)

A) Ha Satisfaction in online relationships = Satisfaction in in person relationships, this is a non-directional hypothesis.

B) Ha Satisfaction in online relationships < Satisfaction in in person relationships, this is a directional hypothesis.

C) Ha Satisfaction in online relationships > Satisfaction in in person relationships, this is a directional hypothesis.

D) Ha Satisfaction in online relationships > Satisfaction in in person relationships, this is a non-directional relationship

Scenario B. Average attendance at Miami Marlins games in the summer of 2018 was only 10,000 people. You believe that this is going to change this year so you test this hypothesis. What is the correct null hypothesis for this scenario?

A) H0: attendance ≠ 10,000

B) H0: attendance = 10,000

Scenario B. Average attendance at Miami Marlins games in the summer of 2018 was only 10,000 people. You believe that this is going to change this year so you test this hypothesis. What is the correct alternative hypothesis for this scenario?

A) Ha: attendance > 10,000, this is a directional hypothesis.

B) Ha: attendance = 10,000, this is a directional hypothesis.

C) Ha: attendance ≠ 10,000 this is a non-directional hypothesis.

D) Ha: attendance = 10,000, this is a non-directional hypothesis.

Scenario C. A researcher develops new iPhone app that is designed to help you sleep better by helping you to get into a calming bedtime routine. To test whether the app works, she gives 100 people this new app, and compares their sleep quality to 100 people who don’t use the app. What is the alternative hypothesis?

A) Ha: sleep quality with the app > sleep quality without the app

B) Ha: sleep quality with the app < sleep quality with the app

C) Ha: sleep quality with the app = sleep quality with the app

Scenario C. A researcher develops new iPhone app that is designed to help you sleep better by helping you to get into a calming bedtime routine. To test whether the app works, she gives 100 people this new app, and compares their sleep quality to 100 people who don’t use the app. What would be a type I error for this scenario?

A) Concluding that people who use the app have better sleep quality than people who do not use the app, when in reality, people who do and do not use the the app have the same sleep quality.

B) Concluding that people who use the app sleep better than people who do not use the app, when in reality, people who use the app do sleep better than people who do not use the app.

C) Concluding that people who do and do not use the app have the same sleep quality, when in reality, people who use the app have better sleep quality than those who do not use the app.

D) Concluding that people who do and do not use the app have the same sleep quality, when in reality, they have the same sleep quality

Scenario C. A researcher develops new iPhone app that is designed to help you sleep better by helping you to get into a calming bedtime routine. To test whether the app works, she gives 100 people this new app, and compares their sleep quality to 100 people who don’t use the app. What would be a type II error for this scenario?

A) Concluding that people who use the app have better sleep quality than people who do not use the app, when in reality, people who do and do not use the the app have the same sleep quality.

B) Concluding that people who do and do not use the app have the same sleep quality, when in reality, they have the same sleep quality.

C) Concluding that people who do and do not use the app have the same sleep quality, when in reality, people who use the app have better sleep quality than those who do not use the app.

D) Concluding that people who use the app sleep better than people who do not use the app, when in reality, people who use the app do sleep better than people who do not use the app.

Scenario D. Dave’s dogs shed a lot and he’s constantly vacuuming up dog hair around his house. He sees a commercial for a new chamomile dog shampoo (FurReal) that claims to reduce shedding better than regular dog shampoo. He wonders if this is true. Is this a directional or non-directional research hypothesis?

A) Directional

B) Non-Directional

Scenario D. Dave’s dogs shed a lot and he’s constantly vacuuming up dog hair around his house. He sees a commercial for a new chamomile dog shampoo (FurReal) that claims to reduce shedding better than regular dog shampoo. He wonders if this is true. What is the null hypothesis for this scenario?

A) H0: amount of shedding with FurReal = amount of shedding with Regular shampoo

B) H0: amount of shedding with FurReal =/= amount of shedding with Regular shampoo

Scenario D. Dave’s dogs shed a lot and he’s constantly vacuuming up dog hair around his house. He sees a commercial for a new chamomile dog shampoo (FurReal) that claims to reduce shedding better than regular dog shampoo. He wonders if this is true. Which of the following would be a Type I error?

A) Concluding that dogs shed less with FurReal than with regular shampoo, when in reality dogs that use FurReal shed the same as dogs who use regular shampoo.

B) Concluding that dogs do not shed less with FurReal than with regular shampoo, when in reality they do not shed less with FurReal than with regular shampoo.

C) Concluding that dogs do not shed less with FurReal than with regular shampoo, when in reality dogs do shed less with FurReal than with regular shampoo.

D) Concluding that dogs shed less with FurReal than with regular shampoo, when in reality dogs do shed less with FurReal than with regular shampoo.

Scenario D. Dave’s dogs shed a lot and he’s constantly vacuuming up dog hair around his house. He sees a commercial for a new chamomile dog shampoo (FurReal) that claims to reduce shedding better than regular dog shampoo. He wonders if this is true. Which of the following would be a Type II error?

A) Concluding that dogs do not shed less with FurReal than with regular shampoo, when in reality dogs do shed less with FurReal than with regular shampoo.

B) Concluding that dogs shed less with FurReal than with regular shampoo, when in reality dogs that use FurReal shed the same as dogs who use regular shampoo.

C) Concluding that dogs do not shed less with FurReal than with regular shampoo, when in reality they do not shed less with FurReal than with regular shampoo.

D) Concluding that dogs shed less with FurReal than with regular shampoo, when in reality dogs do shed less with FurReal than with regular shampoo.

Homework Answers

Answer #1

A. 1. The correct answer is Option A. H0: online relationships = in-person relationships.

A. 2. The correct answer is Option C. Ha Satisfaction in online relationships > Satisfaction in in person relationships, this is a directional hypothesis.

B. 1. The correct answer is Option B. H0: attendance = 10,000.

B. 2. The correct answer is Option C. Ha: attendance ≠ 10,000 this is a non-directional hypothesis.

Please post the other questions separately. As per the answering guidelines we are supposed to answer just one question or four sub parts of the same question.

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