/*! 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} Q14.119 For each exercise, decide, at 10... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q14.119 (page 585)

For each exercise, decide, at 10% significance level, whether the data provide sufficient evidence t reject the null hypothesis in favour of alternate hypothesis

Ha :p<鈥�0

Short Answer

Expert verified

We don't reject Ha : p<鈥�0and state that variables are negatively linearly correlated

Step by step solution

01

Correlation Coefficient 

Sample correlation coefficientr is calculated :

where , and same for

Using excel and above formula concept ,r = -0.7559

02

Hypothesis Testing 

r negative (r<鈥�0) for sample needs to be tested using hypothesis testing, to ensure that the population correlation parameter p(rho) is negative

t=-0.7559/(1-0.5714)鈥�/(3-2)鈥�t=-0.7559/0.4286t=-0.7559/0.6547t=-1.1546

As t calculated value is more than tabulated t value at 0.10 significance level, and p value at the same corresponding level = 0.454

So, we reject the null hypothesis that p = 0, and don't reject the alternate hypothesis that p < 0

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

Acreage and Value. The data from Exercise 14.37for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.

PCBs and Pelicans. Use the data points given on the WeissStats site for shell thickness and concentration of PCBs for 60Anacapa pelican eggs referred to in Exercise 14.40.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

Use the data on the Weiss Stats site for estriol levels of pregnant women and birth weights of their children referred to in Exercise 14.42.

Body Fat. In the paper "Total Body Composition by DualPhoton ( 153Gd) Absorptiometry" (American Journal of Clinical Nutrition, Vol. 40, pp. 834-839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using dual-photon absorptiometry. Each adult's age and percentage of body fat are shown on the WeissStats site.

Suppose that xand yare two variables of a population with xa predictor variable and ya response variable.

a. The distribution of all possible values of the response variable ycorresponding to a particular value of the predictor variable xis called a distribution of the response variable.

b. State the four assumptions for regression inferences.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

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.