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a telephone company claims that 20% of its customers have at least two telephone lines. to test the claim, the company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. at the 0.05 significance level, does the data support the company's claim?

Respuesta :

The p-value associated with this test statistic (for our two-tailed test) is: 0.1797.

The p-value serves as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis

The hypotheses are:

H0: p=0.2

Ha: p not equal to 0.2

The sample proportion is 88/500 = 0.176

The test statistic is:

z=(0.176 - 0.2) / sqrt(0.2*0.8/500) = -1.342

And the p-value associated with this test statistic (for our two-tailed test) is: 0.1797.

So we do not reject the null hypothesis. There is no reason to think that the true proportion is not 0.2.

To learn more about test statistic visit https://brainly.com/question/14128303

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