Answer:
a) The null hypothesis
H₀: P₁ = P₂
The alternative hypothesis
Hₐ: P₁ ≠ P₂
The proportion of the women population that own a tablet is P₁
And the proportion of the men population that own a tablet is P₂
b) The sample statistics are p₁ and p₂ for women and men sample proportions that own a tablet respectively.
p₁ = 0.4663
p₂ = 0.4330
The difference in sample proportion of tablet owners = p₁ - p₂ = 0.4663 - 0.4330 = 0.0333 (not 0)
Hence, the alternative hypothesis is true.
Step-by-step explanation:
The null hypothesis is the one that predicts no difference in tablet ownership.
The alternative hypothesis is the one that proves the initial theory of the survey that there is a difference in the proportion of men and women populations that own a tablet.
If the proportion of the women population that own a tablet is P₁
And the proportion of the men population that own a tablet is P₂
Then, the sample proportion of women that own a tablet = p₁
Sample proportion of men that own a tablet = p₂
The null hypothesis, H₀, stated mathematically, is
H₀: P₁ = P₂
The alternative hypothesis, Hₐ, stated mathematically, is
Hₐ: P₁ ≠ P₂
b) Like I stated in (a) the sample statistics are p₁ and p₂ for women and men sample proportions that own a tablet respectively.
From the data given,
p₁ = (235/504) = 0.4663
p₂ = (197/455) = 0.4330
In the sampled group, the women group have a higher proportion of tablet owners.
The difference in sample proportion of tablet owners = p₁ - p₂ = 0.4663 - 0.4330 = 0.0333
Hence, the alternative hypothesis is true.
Hope this Helps!!!
