Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 14.3, Problem 3E
To determine
State whether the data provide the sufficient evidence to indicate that some lanes are preferred over others and also provide the bounds for the associated p-value.
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. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.
Number of Reported Side-Effects
Old Drug 0 1 3 3 5
New Drug 0 0 1 2 4
Old Drug
New Drug
Total Sample
(Ordered Smallest to Largest)
Ranks
Old Drug
New Drug
Old Drug
New Drug
0
0
0
0
2
2
1
0
1
0
4.5
2
3
1
3
1
7.5
4.5
3
2
3
2
7.5
6
5
4
5
4
10
9
Total
R1=31.5
R2=23.5
A) We…
A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.
Number of Reported Side-Effects
Old Drug 0 1 3 3 5
New Drug 0 0 1 2 4
Old Drug
New Drug
Total Sample
(Ordered Smallest to Largest)
Ranks
Old Drug
New Drug
Old Drug
New Drug
A) We fail to reject H0, which…
A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.
Number of Reported Side-Effects
Old Drug 0 1 1 3 5
New Drug 0 0 1 2 4
Old Drug
New Drug
Total Sample
(Ordered Smallest to Largest)
Ranks
Old Drug
New Drug
Old Drug
New Drug
0
0
0
0
2
2
1
0
0
2
1
1
1
1
3.7
3.7
3
2
1
3.7
5
4
2
7
3
8
4
9
5
10
R1=27.4
R2=23.7
A) We…
Chapter 14 Solutions
Mathematical Statistics with Applications
Ch. 14.3 - Historically, the proportions of all Caucasians in...Ch. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10E
Ch. 14.3 - The data in the following table are the frequency...Ch. 14.4 - On the 40th anniversary of President John F....Ch. 14.4 - A study was conducted by Joseph Jacobson and Diane...Ch. 14.4 - Suppose that the entries in a contingency table...Ch. 14.4 - A survey to explore the relationship between...Ch. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - The results of a study suggest that the initial...Ch. 14.4 - Refer to Exercise 14.10. Test the hypothesis, at...Ch. 14.4 - An interesting and practical use of the 2 test...Ch. 14.5 - A study to determine the effectiveness of a drug...Ch. 14.5 - The 2 test used in Exercise 14.22 is equivalent to...Ch. 14.5 - How do Americans in the sandwich generation...Ch. 14.5 - Does education really make a difference in how...Ch. 14.5 - A manufacturer of buttons wished to determine...Ch. 14.5 - Traditionally, U.S. labor unions have been content...Ch. 14.5 - Prob. 29ECh. 14.5 - Refer to Exercise 14.29. Estimate the difference...Ch. 14.5 - A survey was conducted to investigate interest of...Ch. 14 - Prob. 32SECh. 14 - A survey was conducted to determine student,...Ch. 14 - How would you rate yourself as a driver? According...Ch. 14 - Prob. 35SECh. 14 - Knee injuries are a major problem for athletes in...Ch. 14 - It is often not clear whether all properties of a...Ch. 14 - Prob. 39SECh. 14 - Prob. 40SECh. 14 - Prob. 41SECh. 14 - Prob. 42SECh. 14 - Prob. 43SE
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Similar questions
- A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 1 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug 0 0 0 0 2 2 1 0 0 2 1 1 1 1 5 5 3 2 1 5 5 4 2 7 3 8 4 9 5 10 R1=30 R2=25 We reject H0 in…arrow_forwardThe appearance of leaf pigment glands in the seedling stage of cotton plants is genetically controlled. According to one theory of the control mechanism, the population ratio of glandular to glandless plants resulting from a certain cross should be 11.5, according to another it should be 13:3. In one experiment, the cross produced 89 glandular and 36 glandless plants. Use goodness-of-fit tests (at alpha= 0.10) to determine whether the data is consistent with a) the 11:5 theory, ar b) the 13:3 theory.arrow_forwardA new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 16.5 is greater than the critical U value of 2. B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 8.5 is greater than the critical U value of 2. C) We reject H0 in favor of H1, which…arrow_forward
- A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney Utest at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug A) We fail to reject H0, which…arrow_forwardA survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.arrow_forwardA new chemotherapy drug is released to treat leukemia and researchers suspect thst the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of reported side effects Old drug 0 1 3 3 5 New drug 0 0 1 2 4arrow_forward
- The owner of a fine-dining restaurant claims that at least 72% of their customers are giving huge amounts of tips after dining. A random sample of 470 customers have been observed, and 329 of them gave huge amounts of tips. At alpha = 0.02 is there sufficient evidence to support the owner’s claim? Use the p-value method.arrow_forward. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-EffectsOld Drug 0 1 1 3 5New Drug 0 0 1 2 4 Old Drug New Drug Total Sample(Ordered Smallest to Largest) RanksOld Drug New Drug Old Drug New DrugR1= R2= A) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 10 is greater than the critical U value of 2.B) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 8.5 is greater than the critical U value of 2.C) We fail to reject H0,…arrow_forwardStudents at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex. The results of the student responses, broken down by gender, are found in the following table. Male Female In favor 126 105 Opposed 84 115 Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee? Carry out a significance test of this problem at alpha = .05. Provide each of the following in your answer. a) State the null and alternative hypotheses for this problem situation. Use correct notation. b) Compute the test statistic c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s). d) List the p-value and make a decision by comparing the p-value to alpha. e) In 1-2 complete sentences,…arrow_forward
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