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Students in a social studies class hypothesize that the literacy rates across the world for every region are 82%. Table 11.14shows the actual literacy rates across the world broken down by region. What are the test statistic and the degrees of freedom?

Short Answer

Expert verified

The alpha value has been set at 0.05. Because p-value>α, the decision to reject the null hypothesis,H0 , will be failed. As a result, the null hypothesis is accepted rather than rejected. As a result, there is sufficient evidence to conclude that the real literacy rates are the same.

Step by step solution

01

Given information

Given in the question that, Students in a social studies class hypothesize that the literacy rates across the world for every region are82%. Table 11.14shows the actual literacy rates across the world broken down by region.

We need to find the test statistic and the degrees of freedom.

02

Explanation

The null hypothesis is written as follows:

H0:The actual literacy rates are identical.

The alternate hypothesis is as follows:

Ha:The actual literacy rates varies.

Let's now perform the calculation in Excel, as shown below:

The p-value can be determined using the CHIDIST()formula in Excel, as illustrated below:

χ2test statistic =16.489268

&P-value=0.0573412

The alpha value has been set at 0.05. Because p-value>α, the decision to reject the null hypothesis, H0., will be failed. As a result, the null hypothesis is accepted rather than rejected. As a result, there is sufficient evidence to conclude that the real literacy rates are the same.

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