In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6956subjects randomly selected from an online group involved with ears. There were 1290 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis.

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In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6956subjects randomly selected from an online group involved with ears. There were 1290 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis.
 
 
A.
H0​:
p=0.2
H1​:
p≠0.2
 
B.
H0​:
p=0.2
H1​:
p<0.2
 
C.
H0​:
p>0.2
H1​:
p=0.2
 
D.
H0​:
p≠0.2
H1​:
p=0.2
 
E.
H0​:
p=0.2
H1​:
p>0.2
 
F.
H0​:
p<0.2
H1​:
p=0.2
The test statistic is
z=
​(Round to two decimal places as​ needed.)
The​ P-value is
 
​(Round to three decimal places as​ needed.)
Because the​ P-value is
 
greater than
less than
the significance​ level,
 
fail to reject
reject
the null hypothesis. There is
 
insufficient
sufficient
evidence to support the claim that the return rate is less than​ 20%.
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