Probability and Statistics · Inferential Statistics
Virginia SOL PS.IS.1
Virginia SOL PS.IS.1 is part of the Inferential Statistics strand in Probability and Statistics (Math). Under this Standards of Learning objective, students apply properties of sampling distributions and inference procedures to make decisions about population proportions. Below is what PS.IS.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice PS.IS.1 for the Virginia SOL test.
What SOL PS.IS.1 means
Apply properties of sampling distributions and inference procedures to make decisions about population proportions.
Skills you’ll practice for PS.IS.1
- Describe the shape, center, and spread of the sampling distribution of a proportion.
- Construct a one-sample z confidence interval: identify conditions (random sample, independence, normality), calculate using technology, and interpret the interval.
- Explain how changes in confidence level and sample size affect interval width and margin of error.
- Calculate and interpret a point estimate and margin of error for a proportion confidence interval.
- Explain how and why hypothesis testing allows statistical decision-making.
- Apply one-sample z hypothesis testing: construct null and alternate hypotheses, identify conditions, calculate and interpret p-value, determine whether to reject the null hypothesis, and interpret results.
- Plan and conduct a statistical study about a proportion using the statistical cycle.
Key concepts covered by PS.IS.1
- sampling distribution
- proportion
- shape
- center
- spread
- one-sample z confidence interval
- conditions
- random sample
- independence
- normality
- technology
- confidence level
- sample size
- interval width
- margin of error
- point estimate
- proportion confidence interval
- hypothesis testing
- statistical decision-making
- one-sample z hypothesis testing
- null hypothesis
- alternate hypothesis
- p-value
- reject null hypothesis
- interpret results
- statistical study
- statistical cycle
How to study and practice SOL PS.IS.1
Start with a quick diagnostic to see whether PS.IS.1 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Probability and Statistics standards in Inferential Statistics
- PS.IS.2 — Apply properties of sampling distributions and inference procedures to make decisions about populations.
Frequently asked questions about SOL PS.IS.1
What is Virginia SOL PS.IS.1?
SOL PS.IS.1 is a Probability and Statistics Standard of Learning in the Inferential Statistics strand. It expects students to apply properties of sampling distributions and inference procedures to make decisions about population proportions.
What skills does SOL PS.IS.1 cover?
SOL PS.IS.1 is assessed on 7 skills: describe the shape, center, and spread of the sampling distribution of a proportion; construct a one-sample z confidence interval: identify conditions (random sample, independence, normality), calculate using technology, and interpret the interval; explain how changes in confidence level and sample size affect interval width and margin of error; calculate and interpret a point estimate and margin of error for a proportion confidence interval; explain how and why hypothesis testing allows statistical decision-making; apply one-sample z hypothesis testing: construct null and alternate hypotheses, identify conditions, calculate and interpret p-value, determine whether to reject the null hypothesis, and interpret results; plan and conduct a statistical study about a proportion using the statistical cycle.
What strand of Probability and Statistics is SOL PS.IS.1 in?
SOL PS.IS.1 belongs to the Inferential Statistics reporting strand of the Probability and Statistics Virginia Standards of Learning.
How do I study and practice for SOL PS.IS.1?
Start with a diagnostic to see whether PS.IS.1 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.