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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. State the hypotheses. Compute p̂. Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.) Do you reject or fail to reject H0? Explain. a-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. b-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. What do the results tell you? a-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to not reject H0 for ? = 0.05. b-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to justify rejecting H0 for ? = 0.05

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. State the hypotheses. Compute p̂. Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.) Do you reject or fail to reject H0? Explain. a-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. b-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. What do the results tell you? a-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to not reject H0 for ? = 0.05. b-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to justify rejecting H0 for ? = 0.05

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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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.

 State the hypotheses.

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

Do you reject or fail to reject H0? Explain.

a-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
b-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.    
 

What do the results tell you?

a-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to not reject H0 for ? = 0.05.
b-The sample p̂ value based on 40 trials is not sufficiently different from 0.50 to justify rejecting H0 for ? = 0.05

 

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