Questions: In a trial of a new allergy medicine, 65 people were given the medicine and 65 were given a placebo. Of those given the medicine, 40 showed improvement in their allergy symptoms. Of those given the placebo, 45 did not show improvement. Complete parts (a) through (d) below: a. Make a two-way table summarizing the reviews. Improvement No Improvement Medicine 40 25 Placebo 20 45 (Type whole numbers.) b. Make a Venn diagram from the table in part (a). Choose the correct answer below. c. How many people who received medicine improved? (Type a whole number)

In a trial of a new allergy medicine, 65 people were given the medicine and 65 were given a placebo. Of those given the medicine, 40 showed improvement in their allergy symptoms. Of those given the placebo, 45 did not show improvement. Complete parts (a) through (d) below: a. Make a two-way table summarizing the reviews. Improvement No Improvement Medicine 40 25 Placebo 20 45 (Type whole numbers.) b. Make a Venn diagram from the table in part (a). Choose the correct answer below. c. How many people who received medicine improved? (Type a whole number)
Transcript text: In a trial of a new allergy medicine, 65 people were given the medicine and 65 were given a placebo. Of those given the medicine, 40 showed improvement in their allergy symptoms. Of those given the placebo, 45 did not show improvement. Complete parts (a) through (d) below: a. Make a two-way table summarizing the reviews. \begin{tabular}{l|c|c|} & Improvement & No Improvement \\ \hline Medicine & 40 & 25 \\ Placebo & 20 & 45 \\ \hline \end{tabular} (Type whole numbers.) b. Make a Venn diagram from the table in part (a). Choose the correct answer below. c. How many people who received medicine improved? $\square$ (Type a whole number)
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Solution

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Solution Steps

Step 1: Create a Two-Way Table
  • Summarize the given data into a two-way table.

| | Improvement | No Improvement | |----------------|-------------|----------------| | Medicine | 40 | 25 | | Placebo | 20 | 45 |

Step 2: Choose the Correct Venn Diagram
  • Analyze the given Venn diagrams and select the one that correctly represents the data from the two-way table.

The correct Venn diagram is A.

Step 3: Determine the Number of People Who Improved with Medicine
  • Identify the number of people who received the medicine and showed improvement.

The number of people who received medicine and improved is 40.

Final Answer

  • The two-way table is created.
  • The correct Venn diagram is identified as A.
  • The number of people who received medicine and improved is 40.
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