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 p distribution? Explain. O Yes, n-p and n-g 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-g is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hypotheses. O Ho: p < 0.5; H :D = 0.5 O Hoip = 0.5; H,:p < 0.5 • Hgi p = 0.5; H,: p ± 0.5 O Hg:p = 0.5; H,: p > 0.5 (c) Compute p. (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

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