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A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p distribution? Explain. O No, n-p and n-q are both less than 5. O No, n-p is greater than 5, but n-q is less than 5. Yes, n-p and n-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hypotheses. O Ho: p < 0.5; H,: p = 0.5 Ho: P = 0.5; H,: p + 0.5 O H,: p = 0.5; H;: p < 0.5 O Ho: p = 0.5; H;: p > 0.5 (c) Compute p. (Enter a number.) 40 Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) -89 (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 Ho? Explain. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 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 p value based on 20 trials is sufficiently different from 0.50 to justify rejecting H, for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H, for a = 0.05.

A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p distribution? Explain. O No, n-p and n-q are both less than 5. O No, n-p is greater than 5, but n-q is less than 5. Yes, n-p and n-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hypotheses. O Ho: p < 0.5; H,: p = 0.5 Ho: P = 0.5; H,: p + 0.5 O H,: p = 0.5; H;: p < 0.5 O Ho: p = 0.5; H;: p > 0.5 (c) Compute p. (Enter a number.) 40 Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) -89 (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 Ho? Explain. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 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 p value based on 20 trials is sufficiently different from 0.50 to justify rejecting H, for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H, for a = 0.05.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p distribution? Explain. O No, n-p and n-q are both less than 5. O No, n-p is greater than 5, but n-q is less than 5. Yes, n-p and n-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hypotheses. O Ho: p < 0.5; H,: p = 0.5 Ho: P = 0.5; H,: p + 0.5 O H,: p = 0.5; H;: p < 0.5 O Ho: p = 0.5; H;: p > 0.5 (c) Compute p. (Enter a number.) 40 Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) -89 (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 Ho? Explain. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 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 p value based on 20 trials is sufficiently different from 0.50 to justify rejecting H, for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H, for a = 0.05.
Transcribed Image Text:A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p distribution? Explain. O No, n-p and n-q are both less than 5. O No, n-p is greater than 5, but n-q is less than 5. Yes, n-p and n-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hypotheses. O Ho: p < 0.5; H,: p = 0.5 Ho: P = 0.5; H,: p + 0.5 O H,: p = 0.5; H;: p < 0.5 O Ho: p = 0.5; H;: p > 0.5 (c) Compute p. (Enter a number.) 40 Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) -89 (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 Ho? Explain. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 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 p value based on 20 trials is sufficiently different from 0.50 to justify rejecting H, for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H, for a = 0.05.
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