9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

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Multiple Choice

A popular theme park claims that their weekly attendance is around $100 comma 000$ . You believe that the weekly attendance is different than this claimed value, so you gather sample data. Write the null and alternative hypotheses.

$H_0:$ $mu equals 100 comma 000$

$H_{a}:$ $mu is greater than 100 comma 000$

$H_0:$ $mu equals 100 comma 000$

$H_{a}:$ $mu is not equal to 100 comma 000$

$H_0:$ $\mu=100,000$

$H_{a}:$ $μ$ < $100 comma 000$

$H_0:$ $\mu\ne100,000$

$H_{a}:$ $\mu=100,000$

Verified step by step guidance

Understand the context: The theme park claims their weekly attendance is 100,000. You suspect it is different, which suggests a two-tailed test.

Define the null hypothesis (H0): The null hypothesis represents the status quo or the claim being tested. In this case, H0: μ = 100,000, where μ is the population mean of weekly attendance.

Define the alternative hypothesis (Ha): The alternative hypothesis represents the claim you are testing against the null hypothesis. Since you believe the attendance is different, Ha: μ ≠ 100,000.

Recognize the type of test: Since the alternative hypothesis is not equal (≠), this is a two-tailed test, which checks for any significant difference from the claimed value.

Consider the implications: If the sample data provides enough evidence to reject the null hypothesis, it suggests the true mean attendance is significantly different from 100,000.