Question
In: Math
5. Two brands of coffee were compared. Two independent random samples of 50 people each were...
5. Two brands of coffee were compared. Two independent random samples of 50 people each were asked to taste either Brand A or Brand B coffee, and indicate whether they liked it or not. Eighty four percent of the people who tasted Brand A liked it; the analogous sample proportion for Brand B was ninety percent.
(A) [8] At α = 0.01, is there a significant difference in the proportions of individuals who like the two coffees? Use the p-value approach.
(B) [1] What is the critical value(s) for the test in Part(A)?
(C) [2] Construct a 99% confidence interval for the difference in the proportions of people who like Brand A and Brand B coffees.
(D) [2] Do we use the same estimate of the standard deviation of ˆp1 − pˆ2 in parts (A) and (C)? Explain.
Solutions
milcah answered 1 year agoRelated Solutions
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Brand C Brand D 110 118 108 117 113 116 107 112 108 112 112 115 115
117 108 119 112 119 109 118
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Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
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Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0 and conclude that (p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0.
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
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Test H0:(p1−p2)=0H0:(p1−p2)=0 against
Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03
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1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60
observations, were selected from two populations. The samples from
populations 1 and 2 produced 33 and 22 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08.
(a) The test statistic is____
(b) The P-value is ____
(c) The final conclusion is A. We can reject the null hypothesis
that (p1−p2)=0 and accept that (p1−p2)≠0. B. There is not
sufficient evidence to reject the null hypothesis that
(p1−p2)=0.
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A report summarizes a survey of people in two independent random
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35. The young adults were presented with a variety of situations
(such as getting married or buying a house) and were asked if they
thought that their parents were likely to provide financial support
in that situation. The parents of young adults were presented...
A report summarizes a survey of people in two independent random samples. One sample consisted of...
A report summarizes a survey of people in two independent random
samples. One sample consisted of 700 young adults (age 19 to 35)
and the other sample consisted of 400 parents of children age 19 to
35. The young adults were presented with a variety of situations
(such as getting married or buying a house) and were asked if they
thought that their parents were likely to provide financial support
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A researcher conducted an experiment in which two independent random samples of students were asked to...
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Table below.
Groups
N
Mean
Variance
Females (Group 1)
17
5.353
2.743
Males (Group 2)
32
3.882
2.985
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Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two...
Independent random samples of sizes n1 = 307
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Test the null hypothesis H0:p1=p2versus the alternative
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Round your response to at least 3 decimal places.
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Independent random samples of sizes n1 = 202 and n2 = 210 were taken from two...
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Test the null hypothesis H0:p1=p2versus the alternative
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a) Calculate the z test statistic, testing
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Round your response to at least 3 decimal places.
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interval for the true difference between the population
proportions.Step 1 of 4 : Find the values of the two sample proportions, pˆ1
and pˆ2. Round your answers to three decimal places.Step 2 of 4: Find the margin of error. Round your answer to six
decimal places.Step 3 of 4: Construct the 90% confidence interval. Round your
answers to three decimal places.
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