In a study to determine the effectiveness of a new medication for reducing high blood pressure, 520520 patients were given the medication and 300300 patients were given a placebo. After 1010 weeks, it was found that 350350 patients in the medication group achieved normal blood pressure, while 170170 did not. In the placebo group, 165165 patients achieved normal blood pressure, and 135135 did not. At α=0.01\alpha = 0.01, can you support the claim that there is a difference in the proportion of patients who achieved normal blood pressure levels between the medication and placebo groups?

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1. Intro to Stats and Collecting Data(0)

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Levels of Measurement
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Intro to Collecting Data
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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Histograms
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Bar Graphs and Pareto Charts
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Pie Charts
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Frequency Polygons
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Dot Plots
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Stemplots (Stem-and-Leaf Plots)
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Standard Deviation
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Boxplots
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Basic Concepts of Probability
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Complements
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Addition Rule
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Multiplication Rule: Independent Events
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Introduction to Contingency Tables
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Multiplication Rule: Dependent Events
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Bayes' Theorem
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Fundamental Counting Principle
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Counting
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5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
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Binomial Distribution
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Poisson Distribution
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Hypergeometric Distribution
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Uniform Distribution
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Standard Normal Distribution
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Non-Standard Normal Distribution
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7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Confidence Intervals for Population Variance
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9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Proportions
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Link Between Confidence Intervals and Hypothesis Testing
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Type I & Type II Errors
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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Two Means - Matched Pairs (Dependent Samples)
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Two Variances and F Distribution
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Goodness of Fit Test
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Two-Way ANOVA
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10. Hypothesis Testing for Two Samples

Two Proportions

10. Hypothesis Testing for Two Samples

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Problem 27Multiple Choice

In a study to determine the effectiveness of a new medication for reducing high blood pressure, $520$ patients were given the medication and $300$ patients were given a placebo. After $10$ weeks, it was found that $350$ patients in the medication group achieved normal blood pressure, while $170$ did not. In the placebo group, $165$ patients achieved normal blood pressure, and $135$ did not. At $alpha equals 0.01$ , can you support the claim that there is a difference in the proportion of patients who achieved normal blood pressure levels between the medication and placebo groups?

There is insufficient evidence to conclude that the medication is more effective than the placebo.

There is sufficient evidence to conclude that the medication and the placebo are equally effective.

There is sufficient evidence to conclude that the proportion of patients who achieved normal blood pressure is significantly different between the medication and placebo groups.

There is insufficient evidence to conclude that the medication affects blood pressure differently from the placebo.

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