State the conclusion based on the results of the test. For the hypotheses in Problem 15, suppose

step 1 According to the US Census Bureau, 11 .8 % are registered births in the US in 2000 were to teena

State the conclusion based on the results of the test. For...

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Key Concepts

Hypothesis Testing

Hypothesis testing is the process of making decisions about a population based on sample data. It involves collecting data, calculating a test statistic, and comparing it to a critical value or using a p-value to decide whether to reject or fail to reject the null hypothesis.

Failure to Reject the Null Hypothesis

When the test results lead to failure to reject the null hypothesis, it means that the evidence from the sample data is not strong enough to conclude that the alternative hypothesis is true. This decision does not prove the null hypothesis is correct, but it indicates that there is insufficient evidence to support a claim of a significant effect or difference.

Null Hypothesis

The null hypothesis is the default assumption in statistical hypothesis testing that there is no effect, difference, or relationship in the situation being studied. It represents the status quo that any observed effect is due to chance, and it is the hypothesis that the test aims to potentially reject.

Alternative Hypothesis

The alternative hypothesis is the claim that contradicts the null hypothesis. It suggests that there is an actual effect, difference, or relationship in the studied population. The goal of hypothesis testing is to determine if there is sufficient evidence to support this alternative claim.

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