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A certain drug is used to treat asthma. In a clinical trial of the drug, 21 of 257 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 99% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below.
1)
Right tailed testLeft-tailed testTwo-tailed test
2)
z = ____ (Round to two decimal places as needed.)
3)
P-value =
(Round to four decimal places as needed.)
Identify the null hypothesis.
A. H0: p=0.09
B. H0: p<0.09
C. H0: p>0.09
D.Ho: not equal to 0.09
5) Decide whether to reject the null hypothesis. Choose the correct answer below.
A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
B. Reject the null hypothesis because the P-value is greater than the significance level, α.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
D. Reject the null hypothesis because the P-value is less than or equal to or equal to the significance level, alphaα
6) What is the final conclusion?
A.There is sufficient evidence to warrant rejection of the claim that less than 99% of treated subjects experienced headaches.
B. There is not sufficient evidence to support the claim that less than 99% of treated subjects experienced headaches.
C. There is sufficient evidence to support the claim that less than 99% of treated subjects experienced headaches.
D. There is not sufficient evidence to warrant rejection of the claim that less than 99% of treated subjects experienced headaches.
A) The population must have a normal distribution.
B) The mean must be equal to the standard deviation.
C) The population must have a standard deviation of 0.
D) None; the distribution of sample means will be approximately normal.
Choose the correct answer below.
A. df denotes the distribution of freedom. For this sample, df=25.
B. df denotes the number of degrees of freedom. For this sample, df=25.
C. df denotes the number of degrees of freedom. For this sample, d=24.
D. df denotes the distribution of freedom. For this sample, df=24.
Assume that the significance level is α=0.1. Use the given information to find the P-value and the critical value(s).
The test statistic of z=1.86 is obtained when testing the claim that p 0.1p>0.1
1)
P-value= ____ (Round to four decimal places as needed.)
2)
The critical value(s) is/are z= _____________
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 229.6 sec and a standard deviation of 54.11 sec. Use a 0.05 significance level and the accompanying display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?
2) t = ____ (Round to three decimal places as needed.)
3) The P-value is ____. (Round to three decimal places as needed.)
4) State the final conclusion that addresses the original claim. Choose the correct answer below.
A. Fail to reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.B. Reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.C. Reject H0. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.D. Fail to reject H0. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
5) What do the results suggest about the advice given in the manual?
A. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
B. The results are inconclusive because the average length of a hit song is constantly changing.
C. The results suggest that 229.6 seconds is the best song length.
D. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
1) The required sample size is ________ (Round up to the nearest integer.)
2) Would it be reasonable to sample this number of students?A) No. This number of IQ test scores is a fairly small number.B) Yes. This number of IQ test scores is a fairly large number.C) Yes. This number of IQ test scores is a fairly small number.D) No. This number of IQ test scores is a fairly large number.
In a Harris poll, adults were asked if they are in favor of abolishing the penny. Among the responses, 1276 answered "no," 489 answered "yes," and 388 had no opinion. What is the sample proportion of yes responses, and what notation is used to represent it?
- p^ =0.277 The symbol p^ is used to represent a sample proportion.
B. p=0.2270 The symbol p is used to represent a sample proportion.
C. p^=0.227 The symbol p^ is used to represent a sample proportion.
D. p=0.277 The symbol p is used to represent a sample proportion
5) What is the final conclusion?
A. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
C. There is not sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
D. There is not sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
2) What is the conclusion about the null hypothesis?
A. Reject the null hypothesis because the P-value is greater than the significance level, α.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
C. Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
D. Fail to reject the null hypothesis because the P-value is greater than the significance level, α
1) What are the null and alternative hypotheses?
A. H0: p=0.23
H1: p≠0.23B. H0: p=0.23
H1: p>0.23C. H0: p≠0.23
H1: p<0.23D. H0: p=0.23
H1: p<0.23E. H0: p≠0.23
H1: p>0.23F. H0: p≠0.23
H1: p=0.23
2) z = ____ (Round to two decimal places as needed
3) P-values= ______ (Round to four decimal places as needed.)
using the simple random sample of weights of women from a data set, we obtain these sample statistics: n =35 and x(bar)=152.08 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by σ=32.85 lb.
a. Find the best point estimate of the mean weight of all women.
b. Find a 95% confidence interval estimate of the mean weight of all women.
- The best point estimate is ____ lb.
(Type an integer or a decimal.) - The 95% confidence interval estimate is ___ <μ< ____ lb.
(Round to two decimal places as needed.)
