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 17
​wines, a model was created using the percentages of alcohol to
predict wine quality. From the results of that​ regression,
b1=0.3487 and Sb1=0.1875.
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.
a. Determine the hypotheses for the test. Choose the correct
answer below.
A.
H0​:
β0=0
H1​:
β0≠0
B.
H0​:
β0≥0
H1​:
β0<0
C.
H0​:
β0≤0
H1​:
β0>0
D.
H0​:
β1=0
H1​:
β1≠0
E.
H0​:
β1≤0
H1​:
β1>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
▼
sufficient
insufficient
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.)