A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population of successes does not equal .50. Use level of significance of 0.05. I put the questions in the picture below.

- Search the web.. LE : MATH120 DO06 Win x VA Homework Week 7 (ADA ) - MATI X https://www.webassign.net/web/Student/Assignment-Responses/last?dep=23387199&token=685BE9D482331906419873FF90.. @ 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 p distribution? Explain. O Yes, nip and n.q are both greater than 5. O Yes, n.p and n-q are both less than 5. O No, n.q is greater than 5, but n.p is less than 5. O No, nop is greater than 5, but nig is less than 5. O No, nip and n.q are both less than 5. (b) State the hypotheses. O Ho: P = 0.5; H, : p 0.5 Ho: D = 0.5; H. : p = 0.5 (c) Compute p. (Enter a number.) 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.) e) Do you reject or fail to reject H ? Explain. At the