A study conducted in June 2015 examines ownership of tablet computers by US adults. A random sample of people were surveyed, and we are told that of the men own a tablet and of the women own a tablet. We want to test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women. Let group be US men and let group be US women.

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!!!

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.