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. (a) Can a normal distribution be used for the distribution? Explain. No, n·q is greater than 5, but n·p is less than 5.Yes, n·p and n·q are both greater than 5.     No, n·p is greater than 5, but n·q is less than 5.No, n·p and n·q are both less than 5.Yes, n·p and n·q are both less than 5. (b) State the hypotheses. H0: p = 0.5; H1: p > 0.5H0: p = 0.5; H1: p ≠0.5     H0: p < 0.5; H1: p = 0.5H0: p = 0.5; H1: p < 0.5 (c) Compute . (Enter a number.) p hat = Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.