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Chapter 14: Q14.121 (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

Ha : p>0is not rejected

Step by step solution

01

Correlation Coefficient 

Sample correlation coefficientr is calculated :r=鈭�zxzy/(n-1)

where zxn=(xn-xmean)/standarddeviation, and same for zyn

Using excel and above formula concept , r=0.8771

02

Hypothesis Testing 

r positive () for sample needs to be tested using hypothesis testing, to ensure that the population correlation parameter p(rho) is positive

t=r/(1-r2)鈥�/(n-2)

Putting r=0.8771,andn=4,n-2=2

We get t=2.5, which is greater than the tabulated t value at 0.05significance level, and so pis less at same significance level.

Hence, we reject the null hypothesis in favour of alternate hypothesis.

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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.

(a) Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

(b) Find a 90%confidence interval for the slope of the population regression line.

State the four conditions required for making regression inferences.

Based on a sample of data points, what is the best estimate of the population regression line?

U.S. Presidents. The data from Exercise 14.35 for the ages at inauguration and of death for the presidents of the United States are on the Weiss Stats site.
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