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strawberrymrmr3432
28.07.2020 •
Mathematics
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.22.
Which of the following is a type I error?
A. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29
C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29
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Ответ:
Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.
Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.
Step-by-step explanation:
We are given the following hypothesis below;
Let p = proportion of people who write with their left hand
So, Null Hypothesis,
: p = 0.22 {means that the proportion of people who write with their left hand is equal to 0.22}
Alternate Hypothesis,
: p
0.22 {means that the proportion of people who write with their left hand is different from 0.22}
Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.
So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.
Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.
So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.
Ответ:
300 Hz
Step-by-step explanation:
Something may be wrong on my end because I only see a question labeled 5. Anyways, you can basically just follow the units here.
Wave speed is in m/sWavelength is in mFrequency is in 1/s or s⁻¹, aka Hertz (Hz)So in order to use the given info to get the correct units...
Frequency = (Wave speed/Wavelength)Plugging in or knowns gives us:
Frequency = (120/.4) = 300 Hz
This might be an informal way to think about it technically but it's a good way to do it nonetheless.