1. Intro to Stats and Collecting Data
Intro to Stats
2:18 minutesProblem 1.1.29
Textbook Question
In Exercises 29–36, identify what is wrong.
Potatoes In a poll sponsored by the Idaho Potato Commission, 1000 adults were asked to select their favorite vegetables, and the favorite choice was potatoes, which were selected by 26% of the respondents.
Verified step by step guidance1
Identify the sample size and the percentage of respondents who selected potatoes as their favorite vegetable. In this case, the sample size is 1000 adults, and 26% of them selected potatoes.
Calculate the number of respondents who selected potatoes by multiplying the sample size by the percentage (in decimal form). This can be expressed as: .
Consider the potential bias in the poll. Since the poll is sponsored by the Idaho Potato Commission, there might be a conflict of interest, which could influence the way questions are asked or how the data is interpreted.
Evaluate the representativeness of the sample. Ensure that the sample of 1000 adults is representative of the larger population in terms of demographics and other relevant factors.
Discuss the implications of the results. Even if 26% of respondents selected potatoes, it is important to consider the margin of error and confidence level of the poll to understand the reliability of this result.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Sampling Bias
Sampling bias occurs when the sample is not representative of the population, leading to skewed results. In this case, if the poll was sponsored by the Idaho Potato Commission, there might be a bias in how the survey was conducted or in the sample selection, potentially influencing respondents to favor potatoes.
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Sampling Distribution of Sample Proportion
Survey Design
Survey design refers to how a survey is structured, including question phrasing and order, which can significantly impact responses. If the survey questions were leading or if potatoes were highlighted in some way, it could have influenced the respondents' choices, thus affecting the validity of the results.
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Guided course
03:06Intro to Random Variables & Probability Distributions Example 1
Statistical Significance
Statistical significance helps determine if the results of a study are likely due to chance or if they reflect a true preference in the population. With 26% of respondents choosing potatoes, it's important to assess whether this percentage is significantly higher than what would be expected by chance, considering the sample size and variability.
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Guided course
06:34Step 2: Calculate Test Statistic
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