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A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z- -0.474712663 p-0.3174958955 p-0.0915492958 n-284 a. is the test two-tailed, left-talled, or right-tailed? O Two-tailed test Left-tailed test O Right tailed test b. What is the test statistic? (Round to two decimal places as needed.)

A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z- -0.474712663 p-0.3174958955 p-0.0915492958 n-284 a. is the test two-tailed, left-talled, or right-tailed? O Two-tailed test Left-tailed test O Right tailed test b. What is the test statistic? (Round to two decimal places as needed.)

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
Section13.3: Special Probability Density Functions
Problem 53E
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A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z = - 0.474712663 p = 0.3174958955 p = 0.0915492958 n 284 a. Is the test two-tailed, left-taled, or right-tailed? Two-tailed test Left-tailed test Right tailed test b. What is the test statistic? (Round to two decimal places as needed.)
Transcribed Image Text:A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z = - 0.474712663 p = 0.3174958955 p = 0.0915492958 n 284 a. Is the test two-tailed, left-taled, or right-tailed? Two-tailed test Left-tailed test Right tailed test b. What is the test statistic? (Round to two decimal places as needed.)
c. What is the P-value? P-value = 0.0154 (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. Ho: p=0.12 O B. Ho: p 0.12 C. Ho: p>0.12 O D. Ho: p<0.12 Decide whether to reject the null hypothesis. Choose the correct answer bylow. O A. Reject the null hypothesis because the P-value is greater than the significance level, a. O B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. e. What is the final conclusion? O A. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O C. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. O D. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches.
Transcribed Image Text:c. What is the P-value? P-value = 0.0154 (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. Ho: p=0.12 O B. Ho: p 0.12 C. Ho: p>0.12 O D. Ho: p<0.12 Decide whether to reject the null hypothesis. Choose the correct answer bylow. O A. Reject the null hypothesis because the P-value is greater than the significance level, a. O B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. e. What is the final conclusion? O A. There is not sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. B. There is sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches. O C. There is sufficient evidence to warrant rejection of the claim that less than 12% of treated subjects experienced headaches. O D. There is not sufficient evidence to support the claim that less than 12% of treated subjects experienced headaches.
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