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StatisticsQ&A LibraryAbout 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as a sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3% Ho=____Ha=____In words, define the random variable ___ =___ The distribution to use for the test is ____ Determine the test statistic using your data Draw a graph and label it appropriately. Shade the actual level of significanceQuestion

Asked Aug 2, 2019

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About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as a sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%

Ho=____

Ha=____

In words, define the random variable ___ =___

The distribution to use for the test is ____

Determine the test statistic using your data

Draw a graph and label it appropriately. Shade the actual level of significance

Step 1

**Solution:**

Let us consider that your class has 30 students.

**Null and alternative hypotheses:**

Here, to check whether the percent of the students at your school who speak a language other than English at home is different from 0.423. The appropriate test is **z-test for single sample proportion**.

Here, the sample proportion *p* = 0.196.

The hypotheses for the test is given below.

*Null hypothesis:*

H_{0}: *p*_{0} = 0.423

*Alternative hypothesis:*

H_{1}: *p*_{0} ≠ 0.423

The random variable, *x* = the percent of the students who speak a language other than English at home.

Step 2

**Computation of test statistic:**

Here, *n* = 30.

The sample proportion, *p* = 0.196.

The population proportion, *p*_{0} = 0.423.

The value of test statistic is **−2.5167** from the calculations given below.

Step 3

*p***-value of the test statistic:**

The *p*-value of the test statistic is** 0.0059** from the c...

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