In an attempt to develop a model of wine quality as judged by wine​ experts, data on alcohol content and wine quality wa

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In an attempt to develop a model of wine quality as
judged by wine​ experts, data on alcohol content and wine quality
was collected from variants of a particular wine. From a sample
of
21 ​wines, a model was created using the percentages of
alcohol to predict wine quality. From the results of that​
regression, b1 = 0.2149 andSb1 =0.1704.
a. At the 0.05 level of​ significance, is there evidence
of a linear relationship between the percentage of alcohol and
wine​ quality?
b. Construct a​ 95% confidence interval estimate of the
population​ slope,
β1.
Question content area bottom
Part 1
a. Determine the hypotheses for the test. Choose the
correct answer below.
A.
H0​:β1=0
H1​:β1≠0
B.H0​:β1≤0
H1​:β1>0
C.H0​:β0=0
H1​:β0≠0
D.
H0​:β0≤0
H1​:β0>0
E.
H0​:β0≥0
H1​:β0<0
F.
H0​:β1≥0
H1​:β1<0
Part 2
Compute the test statistic.
tSTAT=
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ p-value of the test
statistic.
​p-value=
enter your response here
​(Round to three decimal places as​
needed.)
Part 4
Reach a decision.
▼
Do not reject
Reject
H0. There is
▼
insufficient
sufficient
evidence to conclude that there is a linear relationship
between the percentage of alcohol and wine quality.
Part 5
b. The​ 95% confidence interval is
enter your response here
≤β1≤
enter your response here
.
​(Round to three decimal places as​
needed.)