A simple random sample of 26 filtered​ 100-mm cigarettes is obtained from a normally distributed​ population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.22 mg. Use a 0.05 significance level to test the claim that the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.35 ​mg, which is the standard deviation for unfiltered​ king-size cigarettes. Complete parts​ (a) through​ (d) below.

MATLAB: An Introduction with Applications
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A simple random sample of 26 filtered​ 100-mm cigarettes is obtained from a normally distributed​ population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.22 mg. Use a 0.05 significance level to test the claim that the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.35 ​mg, which is the standard deviation for unfiltered​ king-size cigarettes. Complete parts​ (a) through​ (d) below.
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Part 1
a. What are the null and alternative​ hypotheses?
A.
H0​: σ=0.35 mg
H1: σ<0.35 mg
B.
H0​: σ=0.35 mg
H1: σ≠0.35 mg
C.
H0​: σ≠0.35 mg
H1: σ=0.35 mg
D.
H0​: σ>0.35 mg
H1: σ≤0.35 mg
Part 2
b. Find the test statistic.
χ2=enter your response here ​(Round to three decimal places as​ needed.)
Part 3
c. Find the​ P-value of the test statistic.
The​ P-value of the test statistic is enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
d. State the conclusion.
▼ 
Fail to reject
Reject
 H0. There 
▼ 
is
is not
 sufficient evidence to conclude that the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.35 mg.  

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