MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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I need help with all parts of this question 2

A random sample of \( n = 1,200 \) observations from a binomial population produced \( x = 694 \) successes. You wish to show that \( p \) differs from \( 0.6 \). **State the null and alternative hypothesis.** - \( H_0: p < 0.6 \) versus \( H_a: p > 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p > 0.6 \) - \( H_0: p \neq 0.6 \) versus \( H_a: p = 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p < 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p \neq 0.6 \) **Calculate the appropriate test statistic.** (Round your answer to two decimal places.) \[ z = \] **Provide an \( \alpha = 0.05 \) rejection region.** (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) \[ z > \] \[ z < \] **State your conclusion.** - \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) differs from 0.6.
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Transcribed Image Text:A random sample of \( n = 1,200 \) observations from a binomial population produced \( x = 694 \) successes. You wish to show that \( p \) differs from \( 0.6 \). **State the null and alternative hypothesis.** - \( H_0: p < 0.6 \) versus \( H_a: p > 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p > 0.6 \) - \( H_0: p \neq 0.6 \) versus \( H_a: p = 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p < 0.6 \) - \( H_0: p = 0.6 \) versus \( H_a: p \neq 0.6 \) **Calculate the appropriate test statistic.** (Round your answer to two decimal places.) \[ z = \] **Provide an \( \alpha = 0.05 \) rejection region.** (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) \[ z > \] \[ z < \] **State your conclusion.** - \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) differs from 0.6. - \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) differs from 0.6.
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