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Chapter 14: Q. 14.124 (page 585)

In Exercises \(14.118-14.127\). we repeat the data from Exercises \(14.12-14.21\) and specify an alternative hypothesis for a correlation \(t-\)test. For each exercise, decide at the \(10%\) significance level. whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

\(H_{a}:p<0\)

Short Answer

Expert verified

Since, the \(P-\)value is greater than the level of significance.

Thus, the null hypothesis is not rejected.

Step by step solution

01

Step 1. Given information

The level of significance is \(0.1\) and the data is,

02

Step 2. Calculation

The hypothesis are,

\(H_{0}:\rho=0\)

\(H_{a}:\rho<0\)

The MINITAB output is shown below.

Since, the \(P-\)value is greater than the level of significance.

Thus, the null hypothesis is not rejected.

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Most popular questions from this chapter

Explain why the predictor variable is useless as a predictor of the response variable if the slope of the population regression line is 0.


Find a95%prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.

a. Obtain a point estimate for the mean tax efficiency of all mutual fund portfolios with6%of their investments in energy securities.

b. Determine a95%confidence interval for the mean tax efficiency of all mutual fund portfolios with6%of their investments in energy securities.

c. Find the predicted tax efficiency of a mutual fund portfolio with 6%of its investments in energy securities.

d. Determine a 95%prediction interval for the tax efficiency of a mutual fund portfolio with 6%of its investments in energy securities.

In this Exercise 14.53, we repeat the information from Exercise 14.17.

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.

role="math" localid="1652352243033" x22344y34021 y^=5-x

Suppose that x and y are predictor and response variables, respectively, of a population. Consider the population that consists of all members of the original population that have a specified value of the predictor variable. The distribution, mean, and standard deviation of the response variable for this population are called the______, ______ and _____ respectively, corresponding to the specified value of the predictor variable.

In this Exercise 14.49, we repeat the information from Exercises 14.13.

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.

x312y-40-5 y^=1-2x
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