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 No, ng is greater than 5, but np is less than 5. O No, np and ng are both less than 5. O Yes, np and ng are both less than 5. O No, np is greater than 5, but ng is less than 5. O Yes, np and ng are both greater than 5. (b) State the hypotheses. О на: р%3D 0.5%;B н,: р# 0.5 О ноi р 3D 0.5; н,: р> 0.5 о но: р< 0.5; н,: р3D 0.5 О н р3 0.5; н,: р<0.5 (c) Compute p. 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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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 No, ng is greater than 5, but np is less than 5.
O No, np and ng are both less than 5.
O Yes, np and ng are both less than 5.
O No, np is greater than 5, but ng is less than 5.
O Yes, np and ng are both greater than 5.
(b) State the hypotheses.
О на: р%3D 0.5%;B н,: р# 0.5
О ноi р 3D 0.5; н,: р> 0.5
о но: р< 0.5; н,: р3D 0.5
О н р3 0.5; н,: р<0.5
(c) Compute p.
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.)
Transcribed Image 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 p distribution? Explain. O No, ng is greater than 5, but np is less than 5. O No, np and ng are both less than 5. O Yes, np and ng are both less than 5. O No, np is greater than 5, but ng is less than 5. O Yes, np and ng are both greater than 5. (b) State the hypotheses. О на: р%3D 0.5%;B н,: р# 0.5 О ноi р 3D 0.5; н,: р> 0.5 о но: р< 0.5; н,: р3D 0.5 О н р3 0.5; н,: р<0.5 (c) Compute p. 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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