A random sample of n = 1,200 observations from a binomial population produced x = 578 successes. You wish to show that p differs from 0.5. n USE SALT State the null and alternative hypothesis. O H,: p + 0.5 versus H :p = 0.5 O H,: p < 0.5 versus H: p > 0.5 O Ho: p = 0.5 versus H: p < 0.5 O Ho: p = 0.5 versus H: p # 0.5 O Ho: p = 0.5 versus H: p > 0.5 Calculate the appropriate test statistic. (Round your answer to two decimal places.) 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 not rejected. There is sufficient evidence to indicate that p differs from 0.5. O H, is rejected. There is insufficient evidence to indicate that p differs from 0.5. O H, is rejected. There is sufficient evidence to indicate that p differs from 0.5. O H, is not rejected. There is insufficient evidence to indicate that p differs from 0.5. You may need to use the appropriate appendix table to answer this question.

MATLAB: An Introduction with Applications
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A random sample of n = 1,200 observations from a binomial population produced x = 578 successes. You wish to show that p differs from 0.5.
n USE SALT
State the null and alternative hypothesis.
O H,: p + 0.5 versus H :p = 0.5
O H,: p < 0.5 versus H: p > 0.5
O Ho: p = 0.5 versus H: p < 0.5
O Ho: p = 0.5 versus H: p # 0.5
O Ho: p = 0.5 versus H: p > 0.5
Calculate the appropriate test statistic. (Round your answer to two decimal places.)
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 not rejected. There is sufficient evidence to indicate that p differs from 0.5.
O H, is rejected. There is insufficient evidence to indicate that p differs from 0.5.
O H, is rejected. There is sufficient evidence to indicate that p differs from 0.5.
O H, is not rejected. There is insufficient evidence to indicate that p differs from 0.5.
You may need to use the appropriate appendix table to answer this question.
Transcribed Image Text:A random sample of n = 1,200 observations from a binomial population produced x = 578 successes. You wish to show that p differs from 0.5. n USE SALT State the null and alternative hypothesis. O H,: p + 0.5 versus H :p = 0.5 O H,: p < 0.5 versus H: p > 0.5 O Ho: p = 0.5 versus H: p < 0.5 O Ho: p = 0.5 versus H: p # 0.5 O Ho: p = 0.5 versus H: p > 0.5 Calculate the appropriate test statistic. (Round your answer to two decimal places.) 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 not rejected. There is sufficient evidence to indicate that p differs from 0.5. O H, is rejected. There is insufficient evidence to indicate that p differs from 0.5. O H, is rejected. There is sufficient evidence to indicate that p differs from 0.5. O H, is not rejected. There is insufficient evidence to indicate that p differs from 0.5. You may need to use the appropriate appendix table to answer this question.
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