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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 distribution? Explain. O No, np is greater than 5, but ng is less than 5. Yes, np and ng are both greater than 5. Yes, np and ng are both less than 5. O No, np and nq are both less than 5. No, ng is greater than 5, but np is less than 5. (b) State the hypotheses. OHP 0.5; H₁ p > 0.5 W ⒸHD=0.5; H₁: p=0.5 OHP < 0.5; H₂ P=0.5 ⒸHOP-0.5; H₂ p<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.) (e) Do you reject or fail to reject Ho? Explain. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the a= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (f) What do the results tell you? The sample p value based on 50 trials is sufficiently different from 0.50 to not reject Ho for a = 0.05. The sample p value based on 50 trials is not sufficiently different from 0.50 to justify rejecting Ho for a = 0.05. O The sample p value based on 50 trials is sufficiently different from 0.50 to justify rejecting Ho for a = 0.05. 0.05. O The sample p value based on 50 trials is not sufficiently different from 0.50 to not reject Ho for a Need Help? Read It Watch it Master It