Hypothesis Testing: Null Hypothesis and Research

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Questions and Answers

What is the primary purpose of hypothesis testing?

  • To determine whether a hypothesis is supported by the results of a research study. (correct)
  • To generate new research questions.
  • To prove the null hypothesis is true.
  • To manipulate data in order to achieve desired results.

What does the null hypothesis ($H_0$) generally state?

  • That there is a significant difference between groups.
  • That the research is flawed.
  • That the alternative hypothesis is true.
  • That there is no difference between groups. (correct)

When do researchers typically use the alternative hypothesis ($H_a$) in statistical testing?

  • When there's no data available.
  • When they reject the null hypothesis. (correct)
  • When they accept the null hypothesis.
  • When they want to prove the null hypothesis.

Which of the following is true regarding the null hypothesis?

<p>It is assumed to be true until evidence suggests otherwise. (D)</p> Signup and view all the answers

In hypothesis testing, to what does the hypothesis refer?

<p>The population parameter. (A)</p> Signup and view all the answers

What is a key characteristic of the alternative hypothesis ($H_a$)?

<p>It predicts a significant difference exists between the groups being compared. (B)</p> Signup and view all the answers

What is the purpose of research in the context of the null hypothesis?

<p>To decide whether the null hypothesis is probably true or probably false. (B)</p> Signup and view all the answers

What is the significance of a 'statistically significant difference' in the context of hypothesis testing?

<p>It suggests that the observed difference is unlikely to have occurred by random chance alone. (B)</p> Signup and view all the answers

A researcher is comparing the effectiveness of two different teaching methods. Which statement represents a suitable null hypothesis ($H_0$)?

<p>There is no difference in the effectiveness of teaching method A and teaching method B. (B)</p> Signup and view all the answers

A study aims to test if a new drug reduces blood pressure. What would be an appropriate alternative hypothesis ($H_a$)?

<p>The new drug has a significant effect on blood pressure. (C)</p> Signup and view all the answers

What distinguishes a one-tailed hypothesis test from a two-tailed hypothesis test?

<p>A one-tailed test examines the possibility of an effect in only one direction, while a two-tailed test examines the possibility of an effect in both directions. (D)</p> Signup and view all the answers

In a one-tailed hypothesis test, what does the researcher predict?

<p>The direction of the difference between the groups. (A)</p> Signup and view all the answers

Which of the following scenarios is most suitable for using a one-tailed hypothesis test?

<p>When previous research suggests a specific direction of the effect. (B)</p> Signup and view all the answers

In what situation would a two-tailed hypothesis test be most appropriate?

<p>When the researcher wants to determine if two groups are different, without presuming the direction of the difference. (C)</p> Signup and view all the answers

A study is conducted to assess whether a new fertilizer increases crop yield. The null hypothesis states the fertilizer has no effect. If a one-tailed test is used, what is the alternative hypothesis?

<p>The fertilizer increases crop yield. (C)</p> Signup and view all the answers

A researcher hypothesizes that children in warm climates weigh less than the national average. Is this a one-tailed or two-tailed test?

<p>One-tailed (A)</p> Signup and view all the answers

A researcher hypothesizes that a warm climate will affect children's body weight. Is this a one-tailed or two-tailed test?

<p>Two-tailed (B)</p> Signup and view all the answers

Which of the following terms suggests one-tailed language?

<p>Fewer (C)</p> Signup and view all the answers

A researcher wants to examine if a new drug has any effect on reaction time, without specifying whether it will increase or decrease it. Which type of hypothesis test should they use?

<p>Two-tailed test (C)</p> Signup and view all the answers

A company claims its new energy drink improves athletic performance. An independent researcher wants to test if the drink actually increases performance. What type of hypothesis test is most appropriate?

<p>One-tailed test (B)</p> Signup and view all the answers

If the null hypothesis ($H_0$) is: HPED student use = BA student use, what is the correct alternative hypothesis ($H_a$)?

<p>$H_a$: HPED student use $\neq$ BA student use (B)</p> Signup and view all the answers

If the alternative hypothesis ($H_a$) is: HPED student use > BA student use, what is the correct null hypothesis ($H_0$)?

<p>$H_0$: HPED student use = BA student use (D)</p> Signup and view all the answers

According to the Oxford Dictionary, what is a hypothesis?

<p>A proposed explanation made on the basis of limited evidence as a starting point for further investigation (C)</p> Signup and view all the answers

Which of the following is the most accurate definition of a Hypothesis?

<p>A starting point for further investigation (A)</p> Signup and view all the answers

Flashcards

What is a Hypothesis?

A proposed explanation based on limited evidence, serving as a starting point for further investigation.

Hypothesis Testing

The process of determining if a hypothesis is supported by the results of a research study, using an objective and logical statistical process.

Null Hypothesis (H₀)

The general statement that there is no difference between groups, assumed to be true until evidence suggests otherwise.

Alternative Hypothesis (Hₐ)

The hypothesis predicting a significant difference exists between the groups being compared.

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One-Tailed Hypothesis Test

Researcher predicts the direction of the expected difference between groups.

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Two-Tailed Hypothesis Tests

Researcher expects to find a difference between the groups, but does not predict the direction of that difference

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Study Notes

  • A hypothesis is a proposed explanation based on limited evidence, serving as a starting point for investigation.
  • Hypothesis testing determines if a hypothesis is supported by research study results.
  • The process involves accepting or rejecting a hypothesis using objective and logical statistical methods.
  • Hypotheses refer to the population, denoted by μ, not the sample mean.

Null Hypothesis (H₀)

  • It is a general statement indicating no difference between groups.
  • It is assumed true until evidence suggests otherwise.
  • Alternative notations are "H-nought," "H-null," "H-O," and "H-zero".
  • The aim is to test if the null hypothesis is TRUE.

H₀ as a Default

  • It is assumed to be true until proven otherwise, similar to "innocent until proven guilty."
  • A suspect is considered innocent until proven guilty beyond a reasonable doubt.
  • The hypothesis assumes no difference between groups until statistically significant differences are proven.

Purpose of Research

  • The purpose of the research is to decide whether the H₀ is probably true or probably false.
  • Unless testing a conclusion of an entire population, conclusions are not 100% sure.

Alternative Hypothesis (Hₐ)

  • Prediction that a significant difference exists between the groups being compared.
  • It is used when the null hypothesis is rejected.

Example Scenario

  • Question: Do HPED students use the gym more often than BA students?

H₀ Example

  • Hypothesis: HPED student use = BA student use.
  • H₀: HPED = BA. Symbol represents population mean, comparing average scores between populations.

Hₐ Example

  • Hypothesis: HPED student use ≠ BA student use.
  • H₀: HPED = BA. Hₐ: HPED ≠ BA.

One-tailed vs. Two-tailed Hypothesis

One-Tailed Hypothesis Test

  • The researcher predicts the direction of the expected difference between the groups.
  • e.g., HPED students use recreation MORE THAN BA students.
  • e.g., HPED students use recreation LESS than BA students.
  • HA: 1 > 2 or HA: 1 < 2. H₀: 1 2 or H₀: 1 2.

Example Scenario with MRU Rec Facility

  • Question: Do HPED students use the MRU rec facility more often than BA students?
  • Recreation statistics indicate BA student use = 1.2 times/week.
  • For the hypothesis to be supported, HPED use must be statistically higher than 1.2 times/week.
  • Data is collected from a random sample of HPED students.
  • Compare with BA student use.
  • If HPED use is significantly greater than BA, reject the null hypothesis in favor of accepting the alternative hypothesis Ha.

Two-Tailed Hypothesis Tests

  • The researcher expects to find a difference between the groups but does not predict the direction of that difference.
  • HA: 1 ≠ 2. H₀: 1 = 2.

Practice Scenarios

  • Scenario 1: A researcher hypothesizes that children in warm climates weigh less than the national average; is this a one- or two-tailed test? Identify H₀ and Ha.
  • Scenario 2: A researcher hypothesizes that a warm climate will affect children's body weight; is this a one- or two-tailed test? Identify H₀ and Ha. Two-tailed.

Cheat Sheet for Language

  • Null: No Difference (N-N)
  • Two-Tailed: Alter, Affect, Impact
  • One-Tailed: Greater than/Less than, Bigger/Smaller, More/Fewer

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