Questions: Review the specific questions listed. Sort the following hypotheses into the appropriate null and alternative hypothesis for that specific question. Sort the following evidence into being something that supports the null or alternative hypothesis. The evidence will either support the null or alternative hypothesis. Not both. - Specific Question: Does encouraging biking make more people bike? - Null Hypothesis: - Alternative Hypothesis: - Evidence Supports Null Hypothesis: - Evidence Supports Alternative Hypothesis: - Specific Question: Does biking increase fatalities? - Null Hypothesis: - Alternative Hypothesis: - Evidence Supports Null Hypothesis: - Evidence Supports Alternative Hypothesis: - Specific Question: Do helmets prevent head injuries in bike accidents? - Null Hypothesis: - Alternative Hypothesis: - Evidence Supports Null Hypothesis: - Evidence Supports Alternative Hypothesis: - Specific Question: Is reducing carbon emissions going to prevent global warming? - Null Hypothesis: - Alternative Hypothesis: - Evidence Supports Null Hypothesis: - Evidence Supports Alternative Hypothesis:

Review the specific questions listed. Sort the following hypotheses into the appropriate null and alternative hypothesis for that specific question. Sort the following evidence into being something that supports the null or alternative hypothesis. The evidence will either support the null or alternative hypothesis. Not both.

- Specific Question: Does encouraging biking make more people bike?
  - Null Hypothesis:
  - Alternative Hypothesis:
  - Evidence Supports Null Hypothesis:
  - Evidence Supports Alternative Hypothesis:

- Specific Question: Does biking increase fatalities?
  - Null Hypothesis:
  - Alternative Hypothesis:
  - Evidence Supports Null Hypothesis:
  - Evidence Supports Alternative Hypothesis:

- Specific Question: Do helmets prevent head injuries in bike accidents?
  - Null Hypothesis:
  - Alternative Hypothesis:
  - Evidence Supports Null Hypothesis:
  - Evidence Supports Alternative Hypothesis:

- Specific Question: Is reducing carbon emissions going to prevent global warming?
  - Null Hypothesis:
  - Alternative Hypothesis:
  - Evidence Supports Null Hypothesis:
  - Evidence Supports Alternative Hypothesis:
Transcript text: 4. (HW) Review the specific questions listed. Sort the following hypotheses into the appropriate null and alternative hypothesis for that specific question. Sort the following evidence into being something that supports the null or alternative hypothesis. The evidence will either support the null or alternative hypothesis. Not both. \begin{tabular}{|c|c|c|c|c|c|} \hline & Specific Question & \begin{tabular}{l} Null \\ Hypothesis \end{tabular} & \begin{tabular}{l} Alternative \\ Hypothesis \end{tabular} & \begin{tabular}{l} Evidence \\ Supports Null \\ Hypothesis \end{tabular} & \begin{tabular}{l} Evidence \\ Supports \\ Alternative \\ Hypothesis \end{tabular} \\ \hline a & Does encouraging biking make more people bike? & & & & \\ \hline b & Does biking increase fatalities? & & & & \\ \hline c & Do helmets prevent head injuries in bike accidents? & & & & \\ \hline d & Is reducing carbon emissions going to prevent global warming? & & & & \\ \hline \end{tabular}
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Solution

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Solution Steps

Solution Approach
  1. Identify the null and alternative hypotheses for each specific question.
  2. Classify the given evidence as supporting either the null or alternative hypothesis.
  3. Organize the hypotheses and evidence into the appropriate columns in the table.
Step 1: Identify Hypotheses

For each specific question, we define the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):

  1. Question a:

    • \( H_0 \): Encouraging biking does not make more people bike.
    • \( H_1 \): Encouraging biking makes more people bike.
  2. Question b:

    • \( H_0 \): Biking does not increase fatalities.
    • \( H_1 \): Biking increases fatalities.
  3. Question c:

    • \( H_0 \): Helmets do not prevent head injuries in bike accidents.
    • \( H_1 \): Helmets prevent head injuries in bike accidents.
  4. Question d:

    • \( H_0 \): Reducing carbon emissions will not prevent global warming.
    • \( H_1 \): Reducing carbon emissions will prevent global warming.
Step 2: Classify Evidence

Next, we classify the evidence supporting each hypothesis:

  1. Question a:

    • Evidence supporting \( H_0 \): Data shows no significant increase in biking after encouragement.
    • Evidence supporting \( H_1 \): Survey results show a significant increase in biking after encouragement.
  2. Question b:

    • Evidence supporting \( H_0 \): Statistics indicate no rise in fatalities with increased biking.
    • Evidence supporting \( H_1 \): Reports show a higher number of fatalities with increased biking.
  3. Question c:

    • Evidence supporting \( H_0 \): Studies show no difference in head injury rates with helmet use.
    • Evidence supporting \( H_1 \): Data indicates a lower rate of head injuries with helmet use.
  4. Question d:

    • Evidence supporting \( H_0 \): Research indicates no correlation between carbon emissions reduction and global warming prevention.
    • Evidence supporting \( H_1 \): Studies show a decrease in global warming with reduced carbon emissions.

Final Answer

The hypotheses and supporting evidence are summarized as follows:

  • For Question a:

    • \( H_0 \): Encouraging biking does not make more people bike.
    • \( H_1 \): Encouraging biking makes more people bike.
  • For Question b:

    • \( H_0 \): Biking does not increase fatalities.
    • \( H_1 \): Biking increases fatalities.
  • For Question c:

    • \( H_0 \): Helmets do not prevent head injuries in bike accidents.
    • \( H_1 \): Helmets prevent head injuries in bike accidents.

The final answer is boxed as follows: \[ \boxed{ \begin{array}{l} \text{Question a: } H_0 \text{ and } H_1 \text{ defined.} \\ \text{Question b: } H_0 \text{ and } H_1 \text{ defined.} \\ \text{Question c: } H_0 \text{ and } H_1 \text{ defined.} \end{array} } \]

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