You wish to test the following claim (Ha) at a significance level of ?-0.002. Ho

Question

You wish to test the following claim (Ha) at a significance level of ?-0.002. Ho: p = 0.27 Ha:p0.27 You obtain a sample of size n - 503 in which there are 151 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic - The test statistic is.. in the critical region Onot in the critical region This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.27 There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.27. The sample data support the claim that the population proportion is greater than 0.27. O There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.27.

Explanation / Answer

Critical value for this test = 2.878

Tet statistic:

z = ( p - P)/ sqrt(p * (1 -p)/n)
= ( 0.30 - 0.27)/sqrt(0.27 * (1 - 0.27)/503)
= 1.52

The test statistic is not in the critical region

This test statistic leads to a decision to fail to reject the null or accept the null

final conclusion is option D)

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.