/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Choose one of the answers given.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 1

Choose one of the answers given. The null hypothesis is always a statement about a (sample statistic or population parameter).

Short Answer

Expert verified
The null hypothesis is always a statement about a population parameter.

Step by step solution

01

Understanding Null Hypothesis

A critical first point of understanding the null hypothesis is that it is a statement about the population, not about the sample. When doing hypothesis testing, one proposes a hypothesis about a population parameter, not a sample statistic. Since it's about a population, the null hypothesis inherently refers to a population parameter.
02

The Difference Between Population Parameter and Sample Statistic

The next point is discerning between a population parameter and a sample statistic. A population parameter describes a characteristic of the entire population, such as mean or standard deviation. Conversely, a sample statistic describes a characteristic observed in a sampled subset of the population.
03

Answering the Question

Based on these factors, a null hypothesis is a statement about a population parameter, not a sample statistic. As hypothesis tests are conducted to infer about the bigger population based on the sample, null hypotheses are made about population parameters, not on sample statistics.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A research hospital tries a new antibiotic scrub before surgery to see whether it can lower the rate of infections of surgical sites. The old rate of infection is \(4 \%\). The null hypothesis is that the proportion of infections is \(0.04, p=0.04\). Give the alternative hypothesis in words and symhols

A professor creates two versions of a 20 -question multiple-choice quiz. Each question has four choices. One student got a score of 19 out of 20 for the version of the test given to the person sitting next to her. The professor thinks the student was copying another exam. The student admits that he hadn't studied for the test, but he says he was simply guessing on each question and just got lucky. For the professor, the null hypothesis is that \(p=0.25\), where \(p\) is the probability that the student chooses the correct answer if just guessing, and the alternative is \(p>0.25\). Would you say that the p-value for this hypothesis test will be high or low? Explain.

By establishing a small value for the significance level, are we guarding against the first type of error (rejecting the null hypothesis when it is true) or guarding against the second type of error?

Suppose a poll is taken that shows that 281 out of 500 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than \(50 \%\) ) believe the rich should pay more taxes than they do. Use a significance level of \(0.05\).

According to one source, \(50 \%\) of plane crashes are due at least in part to pilot error (http://www.planecrashinfo.com). Suppose that in a random sample of 100 separate airplane accidents, 62 of them were due to pilot error (at least in part.) a. Test the null hypothesis that the proportion of airplane accidents due to pilot error is not \(0.50\). Use a significance level of \(0.05\). b. Choose the correct interpretation: i. The percentage of plane crashes due to pilot error is not significantly different from \(50 \%\). ii. The percentage of plane crashes due to pilot error is significantly different from \(50 \%\).
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.