A random sample of 30 binomial trials resulted in 12 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.) (e) Do you reject or fail to reject H0? Explain. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (f) What do the results tell you? The sample value based on 30 trials is not sufficiently different from 0.50 to not reject H0 for ? = 0.05.The sample value based on 30 trials is not sufficiently different from 0.50 to justify rejecting H0 for ? = 0.05. The sample value based on 30 trials is sufficiently different from 0.50 to justify rejecting H0 for ? = 0.05.The sample value based on 30 trials is sufficiently different from 0.50 to not reject H0 for ? = 0.05.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 30 binomial trials resulted in 12 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.

(d)

Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.)

(e)

Do you reject or fail to reject H₀? Explain.

At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(f)

What do the results tell you?

The sample value based on 30 trials is not sufficiently different from 0.50 to not reject H₀ for ? = 0.05.The sample value based on 30 trials is not sufficiently different from 0.50 to justify rejecting H₀ for ? = 0.05. The sample value based on 30 trials is sufficiently different from 0.50 to justify rejecting H₀ for ? = 0.05.The sample value based on 30 trials is sufficiently different from 0.50 to not reject H₀ for ? = 0.05.

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