Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho P=Po versus H₁: p#Po for Po = 0.40, 0.41, 0.42, 0.60, 0.61, 0.62 at the a= 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? -- Do not reject the null hypothesis for the values of po between 0.42 and 0.60, inclusively (Type integers or decimals. Do not round.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Cola 2. We are 95% confident the proportion of individuals who prefer Cola 2 is between and (Type integers or decimals rounded to three decimal places as needed.) 4 (c) Suppose you changed the level of significance in conducting the hypothesis test to a=0.01. What would happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer helow

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 27?”You conduct a bind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c.
Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a
blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and
then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer
Cola 2. Complete parts a through c.
(a) Conduct a hypothesis test (preferably using technology) Hop=Po versus H₁: ppo for po = 0.40, 0.41, 0.42,
0.60, 0.61, 0.62 at the a= 0.05 level of significance. For which values of po do you not reject the null
hypothesis? What do each of the values of po represent?
CCCD
Do not reject the null hypothesis for the values of po between 0.42 and 0.60, inclusively.
(Type integers or decimals. Do not round.)
(b) Construct a 95% confidence interval for the proportion of individuals who prefer Cola 2.
We are 95% confident the proportion of individuals who prefer Cola 2 is between
(Type integers or decimals rounded to three decimal places as needed.)
99+
(c) Suppose you changed the level of significance in conducting the hypothesis test to a=0.01. What would
happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense?
Choose the correct answer helow
H
and
Next
Transcribed Image Text:Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Hop=Po versus H₁: ppo for po = 0.40, 0.41, 0.42, 0.60, 0.61, 0.62 at the a= 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? CCCD Do not reject the null hypothesis for the values of po between 0.42 and 0.60, inclusively. (Type integers or decimals. Do not round.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Cola 2. We are 95% confident the proportion of individuals who prefer Cola 2 is between (Type integers or decimals rounded to three decimal places as needed.) 99+ (c) Suppose you changed the level of significance in conducting the hypothesis test to a=0.01. What would happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer helow H and Next
Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a
blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and
then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer
Cola 2. Complete parts a through c.
хуг-
(c) Suppose you changed the level of significance in conducting the hypothesis test to a=0.01. What would
happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense?
Choose the correct answer below.
F
OA. The range of values would increase because the corresponding confidence interval would increase in
size.
OB. The range of values would decrease because the corresponding confidence interval would decrease in
size.
OC. The range of values would increase because the corresponding confidence interval would decrease in
size.
OD. The range of values would decrease because the corresponding confidence interval would increase in
size.
99+
Next
G
Transcribed Image Text:Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c. хуг- (c) Suppose you changed the level of significance in conducting the hypothesis test to a=0.01. What would happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer below. F OA. The range of values would increase because the corresponding confidence interval would increase in size. OB. The range of values would decrease because the corresponding confidence interval would decrease in size. OC. The range of values would increase because the corresponding confidence interval would decrease in size. OD. The range of values would decrease because the corresponding confidence interval would increase in size. 99+ Next G
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