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1. [-/0.3 Points] DETAILS BBUNDERSTAT12 8.3.005.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05 LA USE SALT (a) Can a normal distribution be used for the p distribution? Explain. O No, no is greater than 5, but no is less than 5. O No, np is greater than 5, but no is less than 5. Yes, no and no are both less than 5. Yes, no and no are both greater than 5. O No, np and no are both less than 5. (b) State the hypotheses. O Ho: p= 0.5; Hi: p 0.5 O Ho:p= 0.5; Hi: p= 0.5 O Ho: p = 0.5; Hi: p= 0.5 (c) Compute p. Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.) (d) Find the P-value of the test statistic. (Round your answer to four decimal places.) (e) Do you reject or fail to reject Ho? Explain. O At the or = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the or = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the or = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the or = 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 50 trials is not sufficiently different from 0.50 to justify rejecting H for ox = 0.05. The sample p value based on 50 trials is not sufficiently different from 0.50 to not reject Ho for ox = 0.05. The sample p value based on 50 trials is sufficiently different from 0.50 to not reject Ho for a = 0.05. O The sample p value based on 50 trials is sufficiently different from 0.50 to justify rejecting Ho for a = 0.05. Need Help? Read it Watch It Master It