You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:p= 0.48 H.:p < 0.48 You obtain a sample of size = 606 in which there are 269 successful observations. Determine the test statistic formula for this test. What is the test statistic for this sample? (Report answer accurate to three decimal places.)

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Author:Amos Gilat
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**Hypothesis Testing for Sample Proportion**

You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.002\).

- \(H_0: p = 0.48\)
- \(H_a: p < 0.48\)

You obtain a sample of size \(n = 606\) in which there are 269 successful observations.

**Determine the test statistic formula for this test.**

**What is the test statistic for this sample?** (Report answer accurate to three decimal places.)

Test statistic = [Text box for answer]

**What is the p-value for this sample?** (Report answer accurate to four decimal places.)

p-value = [Text box for answer]

**The p-value is...**

- [ ] less than (or equal to) \(\alpha\)
- [ ] greater than \(\alpha\)

This text guides you through testing a claim about a population proportion using a sample statistic. It provides a structured approach to hypothesis testing, specifying null and alternative hypotheses, significance level, sample size, and the number of successes in the sample. You are prompted to calculate the test statistic and p-value, key components in determining the outcome of the hypothesis test.
Transcribed Image Text:**Hypothesis Testing for Sample Proportion** You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.002\). - \(H_0: p = 0.48\) - \(H_a: p < 0.48\) You obtain a sample of size \(n = 606\) in which there are 269 successful observations. **Determine the test statistic formula for this test.** **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) Test statistic = [Text box for answer] **What is the p-value for this sample?** (Report answer accurate to four decimal places.) p-value = [Text box for answer] **The p-value is...** - [ ] less than (or equal to) \(\alpha\) - [ ] greater than \(\alpha\) This text guides you through testing a claim about a population proportion using a sample statistic. It provides a structured approach to hypothesis testing, specifying null and alternative hypotheses, significance level, sample size, and the number of successes in the sample. You are prompted to calculate the test statistic and p-value, key components in determining the outcome of the hypothesis test.
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