% A random sample of 20 binomial trials resulted in a 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 3 distribution? Explain. 0 Yes, n-p and {1-1: are both less than 5. O No, n-q is greater than 5, but n-p is less than 5. 0 Yes, mo and n-a are both greater than 5. O No, n-p and 11-1; are both less than 5. O No, n-p is greater than 5, but n-o is less than 5. (b) State the hypotheses. O H0:p 0.5 (c) Compute 5. [Enter a number.) S Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) : (d) Find the P-yalue ofthe test statistic. (Enter a number. Round your answer to four decimal places.) : (e) Do you reject or fail to reject H07 Explain. 0 At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically signicant. 0 At me a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically signicant. 0 At 'lE a = 0.05 level, we fall to reject the null hypothesis and conclude 'lE data are statistically signicant. 0 At the o: = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (I) What do the results tell you? O The sample 5 vaiue based on 20 trials is sufciently different from 0.50 to justify rejecting HD for a = 0.05. O The sample vaiue based on 20 trials is sufciently different from 0.50 to not reject Ho for a = 0.05. b: O The sample value based on 20 trials is not sufciently different from 0.50 to not reject HD for a = 0.05. O The sample 3 value based on 20 trials is not sufciently different from 0.50 to justify rejecting H0 for o = 0.05