I was thinking 32.5%. Due to 70% of the 25% who do own a device would be 17.5% and then minus that from the 50%.
But the only answers are- 50%, 43%, 37.5%, 60% or Cannot Say.
Am i missing something really obvious here?
I was thinking 32.5%. Due to 70% of the 25% who do own a device would be 17.5% and then minus that from the 50%.
But the only answers are- 50%, 43%, 37.5%, 60% or Cannot Say.
Am i missing something really obvious here?
On
Let say T is the total users, x is zero ui users, and y the non zero ui users. So we get $T = x + y$ and $T = 4x$ and $y = 3x$.
Next we know that 50% overall users were confident, and 70% of zero ui users were confident. This translates to $.5T = .7x + py$. Using the substitutions above we get $.5(4x) = .7x + p(3x)$
$$
2x = .7x + 3px \\
2x = x(.7 + 3p) \\
2 = .7 + 3p \\
1.3 = 3p \\
p = \frac{13}3 \approx 43.3 \%
$$
Out of $100$ respondents there are $25$ that own a zero UI device, $17.5$ of whom are uncomfortable. There are a total of $50$ that are uncomfortable, so there are $32.5$ that are uncomfortable and do not own a zero UI device out of $75$ that do not own a zero UI device. This is $\frac {32.5}{75}=43\frac 13\%$ but your test writer's calculator seems not to do decimals and produced $43\%$.