Question

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 distribution? Explain. Yes, n·p and n·q are both less than 5. 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. No, n·p and n·q are both less than 5. No, n·q is greater than 5, but n·p is less than 5. (b) State the hypotheses. H0: p = 0.5; H1: p ≠ 0.5 H0: p < 0.5; H1: p = 0.5 H0: p = 0.5; H1: p > 0.5 H0: 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.) (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.)

Answer 1