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 signicance of 0.05. (a) Can a normal distribution be used for the 5 distribution? Explain. 0 Yes, n-p and n-q are both less than 5. O No, 17-4; is greater than 5, but n-p is less than 5. 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. 0 Yes, n-p and n-q are both greater than 5. (b) State the hypotheses. O HO: p 0.5 O HO: p = 0.5; H1: p z 0.5 (c) Compute 5. (Enter a number.) |:| Compute the corresponding standardized sample test statistic. {Enter a number. Round your answer to two decimal places.) |:| (d) Find the Pvalue of the test statistic. (Enter a number. Round your answer to four decimal places.) |:| e Do ou re'ect or fail to re'ect H 1'" Ex lain. r l 1 a P 0 At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically signicant. 0 At the o: : 0.05 level, we reject the null hypothesis and conclude the data are not statistically signicant. 0 At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically signicant. 0 At the a: = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically signicant. (f) What do the results tell you? O The sample 5 value based on 50 trials is sufciently different from 0.50 to justify rejecting H0 for a: = 0.05. O The sample 5 value based on 50 trials is not sufciently different from 0.50 to not reject Ho for a = 0.05. O The sample p value based on 50 trials is not sufciently different from 0.50 to justify rejecting \"D for a = 0.05. O The sample i; value based on 50 trials is sufciently different from 0.50 to not reject H0 for a = 0.05