Suppose that you were trying to determine if the percentage of Americans that speak a second language is less than 30% . In 2016, the General Social Survey had a question that asked its participants if they spoke a second language. Out of 2867, 816 said yes.

The test statistic value is -1.74.

The p-value of the test is 0.0409.

Step-by-step explanation:

A single proportion z-test can be used to test whether the proportion of American that speak a second language is less than 30%.

The hypothesis can be defined as follows:

H₀: The proportion of American that speak a second language is 0.30, i.e.      p = 0.30.

Hₐ: The proportion of American that speak a second language is less than 0.30, i.e. p < 0.30.

In a survey of n = 2867 Americans X = 816 said they speak a second language.

The sample proportion of Americans who speak a second language is:

Compute the test statistic value as follows:

The test statistic value is -1.74.

Compute the p-value as follows:

*Use a z-table for the probability.

The p-value of the test is 0.0409.

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step-by-step explanation:

ez do it yourself lazy