Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p)   Part 1) About half of Americans prefer to live away from cities, given the choice. a) H0: p ≤ 0.50,     Ha: p > 0.50 b) H0: μ =  1 2,     Ha: μ ≠  1 2      c) H0: μ ≠  1 2,     Ha: μ =  1 2 d) H0: p = 0.50,     Ha: p ≠ 0.50 e) H0: p ≠ 0.50,     Ha: p = 0.50 f) H0: μ ≥  1 2,     Ha: μ <  1 2 g)H0: p ≥ 0.50,     Ha: p < 0.50 h) H0: μ ≤  1 2,     Ha: μ >  1 2 Part 2) Europeans have a mean paid vacation each year of six weeks. a) H0: p ≥ 6,     Ha: p < 6 b) H0: μ ≥ 6,     Ha: μ < 6 c) H0: p = 6,     Ha: p ≠ 6 d) H0: μ ≠ 6,     Ha: μ = 6 e) H0: μ = 6,     Ha: μ ≠ 6 f) H0: p ≠ 6,     Ha: p = 6 g) H0: p ≤ 6,     Ha: p > 6 h) H0: μ ≤ 6,     Ha: μ > 6

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Some of the statements below refer to the null hypothesis, some to the alternate hypothesis.

State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p)
 
Part 1) About half of Americans prefer to live away from cities, given the choice.
a) H0: p ≤ 0.50,     Ha: p > 0.50
b) H0: μ = 
1
2
,     Ha: μ ≠ 
1
2
     
c) H0: μ ≠ 
1
2
,     Ha: μ = 
1
2
d) H0: p = 0.50,     Ha: p ≠ 0.50
e) H0: p ≠ 0.50,     Ha: p = 0.50
f) H0: μ ≥ 
1
2
,     Ha: μ < 
1
2
g)H0: p ≥ 0.50,     Ha: p < 0.50
h) H0: μ ≤ 
1
2
,     Ha: μ > 
1
2

Part 2) Europeans have a mean paid vacation each year of six weeks.

a) H0: p ≥ 6,     Ha: p < 6
b) H0: μ ≥ 6,     Ha: μ < 6
c) H0: p = 6,     Ha: p ≠ 6
d) H0: μ ≠ 6,     Ha: μ = 6
e) H0: μ = 6,     Ha: μ ≠ 6
f) H0: p ≠ 6,     Ha: p = 6
g) H0: p ≤ 6,     Ha: p > 6
h) H0: μ ≤ 6,     Ha: μ > 6
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