Question

# A random sample of 4016(a) Can a normal distribution be used for the p̂Yes, npnqnpnqnqnpnpnqnpnq

binomial trials resulted in successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.

distribution? Explain.

and are both less than 5. Yes, and are both greater than 5.    No, is greater than 5, but is less than 5. No, and are both less than 5. No, is greater than 5, but 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 .

Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.)

(d) Find the P-value of the test statistic. (Round your answer to four decimal places.)

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