A random sample of n = 1,000 observations from a binomial population contained 331 successes. You wish to show that p < 0.35. A USE SALT State the null and alternative hypothesis. O Ho: p = 0.35 versus H: p > 0.35 O Ho: p = 0.35 versus H: p + 0.35 O H,: p < 0.35 versus H: p > 0.35 O Ho: p + 0.35 versus H: p = 0.35 O Ho: p = 0.35 versus H: p < 0.35 Calculate the appropriate test statistic. (Round your answer to two decimal places.) %3= Provide an a = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) z < State your conclusion. O H, is rejected. There is insufficient evidence to indicate that p is less than 0.35. O H, is not rejected. There is insufficient evidence to indicate that p is less than 0.35. O H, is rejected. There is sufficient evidence to indicate that p is less than 0.35. O H, is not rejected. There is sufficient evidence to indicate that p is less than 0.35.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A random sample of \( n = 1,000 \) observations from a binomial population contained 331 successes. You wish to show that \( p < 0.35 \).

State the null and alternative hypothesis.

- \( H_0: p = 0.35 \) versus \( H_a: p > 0.35 \)
- \( H_0: p = 0.35 \) versus \( H_a: p \neq 0.35 \)
- \( H_0: p < 0.35 \) versus \( H_a: p > 0.35 \)
- \( H_0: p \neq 0.35 \) versus \( H_a: p = 0.35 \)
- \( H_0: p = 0.35 \) versus \( H_a: p < 0.35 \)

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.)

\[ z \geq \] [ ]

\[ z < \] [ ]

State your conclusion.

- \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) is less than 0.35.
- \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) is less than 0.35.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) is less than 0.35.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) is less than 0.35.
Transcribed Image Text:A random sample of \( n = 1,000 \) observations from a binomial population contained 331 successes. You wish to show that \( p < 0.35 \). State the null and alternative hypothesis. - \( H_0: p = 0.35 \) versus \( H_a: p > 0.35 \) - \( H_0: p = 0.35 \) versus \( H_a: p \neq 0.35 \) - \( H_0: p < 0.35 \) versus \( H_a: p > 0.35 \) - \( H_0: p \neq 0.35 \) versus \( H_a: p = 0.35 \) - \( H_0: p = 0.35 \) versus \( H_a: p < 0.35 \) 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.) \[ z \geq \] [ ] \[ z < \] [ ] State your conclusion. - \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) is less than 0.35. - \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) is less than 0.35. - \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) is less than 0.35. - \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) is less than 0.35.
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