Respuesta :
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!!!
The null hypotheses and alternative hypotheses are H₀: P₁ = P₂ and Hₐ: P₁ ≠ P₂. And the difference in sample proportion of tablet owners is (p₁ - p₂) 0.0333. Then the alternative hypothesis is true.
What are null hypotheses and alternative hypotheses?
In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A study conducted in June 2015 examines ownership of tablet computers by US adults.
A random sample of people was surveyed, and we are told that the men own a tablet and the women own a tablet.
We want to test whether the survey results provide evidence of a difference in the proportion of owning a tablet between men and women.
Let the proportion of the women population that owns a tablet be P₁ and the proportion of the men population that owns a tablet be P₂.
a. The sample proportion of women that own a tablet will be p₁ and the sample proportion of men that own a tablet will be p₂.
The null hypothesis (H₀) is shown mathematically by
H₀: P₁ = P₂
The alternative hypothesis (Hₐ) is shown mathematically by
Hₐ: P₁ ≠ P₂
b. The sample statistics are p₁ and p₂ for women and men sample proportions that own a tablet respectively.
From the given data, we have
[tex]\rm p_1 = \dfrac{235}{504} = 0.4663\\\\p_2 = \dfrac{197}{455} = 0.4330[/tex]
In the sampled group, the women have a higher proportion of tablet owners.
The difference in sample proportion of tablet owners will be
p₁ - p₂ = 0.4663 - 0.4330 = 0.0333
Thus, the alternative hypothesis is true.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
