A certain medicine is said to be 79% effective in giving relief to people with allergic reactions to cats and dogs. A vet believes this claims is too high. In a random sample of 190 people with allergies, 133 people got relief. Is the vet correct at a =5 %?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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100%
Question 1 Subparts C, F which I got wrong
np > 5 and n(1-p) > 5
(e) State the decision rule:
Reject HO and accept Ha V at a =
o% if the p-value of the
sample statistic
O is less than or equal to 0.05
(f) Experiment:
Symbol of the sample statistic:
Op
Or
Ox
O už
O Hp
Value of the sample statistic rounded to 4 decimal places: 3.0458
P-value of the sample statistic rounded to 4 decimal places: 0.0012
(g) Conclusion: Reject HO and accept Ha v at a =5
(h) Answer the question: Is the vet correct?
O Yes, because the p-value is less than alpha.
O No, because the p-value is less than alpha.
O Yes, because the p-value is greater than alpha.
O No, because p-value is greater than alpha.
(i) Error: What type of error could have been made in this test, and what does it mean?
O Type 1- the proportion of people who get relief with the medicine is really less than 79%, but we
incorrectly rejected 79%.
O Type 2 - the proportion of people who get relief with the medicine is really less than 79%, but we
incorrectly failed to reject 79%.
O Type 2 - the proportion of people who get relief with the medicine really is 796, but we incorrectly
failed to reject 79%.
O Type 1- the proportion of people who get relief with the medicine really is 79%, but we incorrectly
rejected 79%
Transcribed Image Text:np > 5 and n(1-p) > 5 (e) State the decision rule: Reject HO and accept Ha V at a = o% if the p-value of the sample statistic O is less than or equal to 0.05 (f) Experiment: Symbol of the sample statistic: Op Or Ox O už O Hp Value of the sample statistic rounded to 4 decimal places: 3.0458 P-value of the sample statistic rounded to 4 decimal places: 0.0012 (g) Conclusion: Reject HO and accept Ha v at a =5 (h) Answer the question: Is the vet correct? O Yes, because the p-value is less than alpha. O No, because the p-value is less than alpha. O Yes, because the p-value is greater than alpha. O No, because p-value is greater than alpha. (i) Error: What type of error could have been made in this test, and what does it mean? O Type 1- the proportion of people who get relief with the medicine is really less than 79%, but we incorrectly rejected 79%. O Type 2 - the proportion of people who get relief with the medicine is really less than 79%, but we incorrectly failed to reject 79%. O Type 2 - the proportion of people who get relief with the medicine really is 796, but we incorrectly failed to reject 79%. O Type 1- the proportion of people who get relief with the medicine really is 79%, but we incorrectly rejected 79%
A certain medicine is said to be 79% effective in giving relief to people with allergic reactions to cats and
dogs. A vet believes this claims is too high. In a random sample of 190 people with allergies, 133 people got
relief. Is the vet correct at a = 5 %?
(a) State the hypotheses:
Họ: The population proportion
VVo
of people who get relief from the medicine
is equal to
of
0.79
Symbols: OpO zO µO µ5, ¿O µ;● p© µ÷O µ - µy0 H EV
0.79
9.
H: The population proportion
VV
of people who get relief from the medicine
is less than
O0.79
Symbols: OO µO µ1 - µ2O µô. - O zO uzO µžj -ž0p® po v o
0.79
(b) The correct symbol for the mean of the sampling distribution is:
Ox
O uz
Op
Op
Or
Op, - Pa
OP-
(c) The value for the mean of the sampling distribution is: 0.7
(d) Choose the correct distribution:
Normal Distribution
O Chi-Square Distribution
OT-Distribution
Why?
Transcribed Image Text:A certain medicine is said to be 79% effective in giving relief to people with allergic reactions to cats and dogs. A vet believes this claims is too high. In a random sample of 190 people with allergies, 133 people got relief. Is the vet correct at a = 5 %? (a) State the hypotheses: Họ: The population proportion VVo of people who get relief from the medicine is equal to of 0.79 Symbols: OpO zO µO µ5, ¿O µ;● p© µ÷O µ - µy0 H EV 0.79 9. H: The population proportion VV of people who get relief from the medicine is less than O0.79 Symbols: OO µO µ1 - µ2O µô. - O zO uzO µžj -ž0p® po v o 0.79 (b) The correct symbol for the mean of the sampling distribution is: Ox O uz Op Op Or Op, - Pa OP- (c) The value for the mean of the sampling distribution is: 0.7 (d) Choose the correct distribution: Normal Distribution O Chi-Square Distribution OT-Distribution Why?
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