A random sample of 40 binomial trials resulted in 16 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...

Please answer all parts. if not possible b,c and d. thank you.

Extracted text: A random sample of 40 binomial trials resulted in 16 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 ô distribution? Explain. O Yes, n-p and n-q are both greater than 5. O No, n.q is greater than 5, but n-p is less than 5. O No, n-p and n.g are both less than 5. O No, n'p is greater than 5, but n-q is less than 5. O Yes, n.p and n.g are both less than 5. (b) State the hypotheses. O Ho: p < 0.5;="" h,:="" p="0.5" o="" ho:="" p="0.5;" h,:p="">< 0.5="" o="" h3:="" p="0.5;" h,="" p="" #="" 0.5="" o="" h;:="" p="0.5;" h,:p=""> 0.5 (c) Compute . (Enter a number.) .4 Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) |-1.26 (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.) .1038