A random sample of 20 binomial trials resulted in 8 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, n-p and n-q 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-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hyYpotheses. O Ho: p < 0.5; H: p = 0.5 O Ho: P = 0.5; H;: p + 0.5 O Họ: P = 0.5; H: p < 0.5 O Ho: p = 0.5; H: p > 0.5 (c) Compute p. (Enter a number.) Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.) (e) Do you reject or fail to reject H,? Explain. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O 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? O The sample p value based on 20 trials is sufficiently different from 0.50 to justify rejecting Ho for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. O The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H. for a = 0.05. O The sample p value based on 20 trials is sufficiently different from 0.50 to not reject H, for a = 0.05. Need Heln? Read It Talk to a Tuutor
A random sample of 20 binomial trials resulted in 8 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, n-p and n-q 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-q are both greater than 5. O No, n-q is greater than 5, but n-p is less than 5. O Yes, n-p and n-q are both less than 5. (b) State the hyYpotheses. O Ho: p < 0.5; H: p = 0.5 O Ho: P = 0.5; H;: p + 0.5 O Họ: P = 0.5; H: p < 0.5 O Ho: p = 0.5; H: p > 0.5 (c) Compute p. (Enter a number.) Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.) (e) Do you reject or fail to reject H,? Explain. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O 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? O The sample p value based on 20 trials is sufficiently different from 0.50 to justify rejecting Ho for a = 0.05. %3D O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05. O The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H. for a = 0.05. O The sample p value based on 20 trials is sufficiently different from 0.50 to not reject H, for a = 0.05. Need Heln? Read It Talk to a Tuutor
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Transcribed Image Text:A random sample of 20 binomial trials resulted in 8 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, n-p and n-q 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-q are both greater than 5.
O No, n-q is greater than 5, but n-p is less than 5.
O Yes, n-p and n-q are both less than 5.
(b) State the hyYpotheses.
O Ho: p < 0.5; H: p = 0.5
O Ho: P = 0.5; H;: p + 0.5
O Họ: P = 0.5; H: p < 0.5
O Ho: p = 0.5; H: p > 0.5
(c) Compute p. (Enter a number.)
Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.)
(d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.)
(e) Do you reject or fail to reject H,? Explain.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O 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?
O The sample p value based on 20 trials is sufficiently different from 0.50 to justify rejecting Ho for a = 0.05.
%3D
O The sample p value based on 20 trials is not sufficiently different from 0.50 to not reject H, for a = 0.05.
O The sample p value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H. for a = 0.05.
O The sample p value based on 20 trials is sufficiently different from 0.50 to not reject H, for a = 0.05.
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