A sustainability researcher claims that less than 30%30\% of household appliances sold in a particular region are certified as energy efficient. A random sample of 3535 appliances is selected, and 88 of them are found to be energy efficient. At the 0.050.05 significance level, can you conclude that less than 30%30\% of appliances are energy efficient, as the researcher claims?

Fail to reject H0H_0; exactly 23%23\% of appliances are energy efficient.

Reject H0H_0; at least 30%30\% of the appliances are energy efficient.

Reject H0H_0; the proportion is significantly less than 30%30\%.

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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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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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Interpreting Standard Deviation
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Percentiles & Quartiles
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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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Counting
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Uniform Distribution
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Non-Standard Normal Distribution
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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)

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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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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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Multiple Comparisons: Tukey-Kramer Test
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9. Hypothesis Testing for One Sample

Performing Hypothesis Tests: Proportions

9. Hypothesis Testing for One Sample

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Problem 14Multiple Choice

A sustainability researcher claims that less than $30 percent sign$ of household appliances sold in a particular region are certified as energy efficient. A random sample of $35$ appliances is selected, and $8$ of them are found to be energy efficient. At the $0.05$ significance level, can you conclude that less than $30 percent sign$ of appliances are energy efficient, as the researcher claims?

Fail to reject $H sub 0$ ; exactly $23 percent sign$ of appliances are energy efficient.

Reject $H sub 0$ ; at least $30 percent sign$ of the appliances are energy efficient.

Fail to reject $H sub 0$ ; there is insufficient evidence to support the claim that fewer than $30 percent sign$ are energy efficient.

Reject $H sub 0$ ; the proportion is significantly less than $30 percent sign$ .

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