Answer:
a) A Type II error happens when the null hypothesis failed to be rejected even when the alternative hypothesis is true (<em>false negative</em>).
In this case the ad was effective (true alternative hypothesis), but the results of the sample had no enough statistical evidence to prove that the ad really had an effect increasing sales (reject the null hypothesis).
b) No. This type of errors are not evident, as the study is conduct to infere characteristics of the population. As it is an inference, there is not 100% accurate, and there is a probability of making this type of errors.
The only thing it can be done is limiting the probability of making this errors (type I and type II), affecting the power of the test (to affect Type II error) and the significance level (to affect Type I error). Obviously there is a trade-off, and minimizing one type of error increases the probability of making the other type.
c) The business consequences are that an effective ad campaign is not recognize and a business opportunity is lost. The ad would have been effective, but the study wasn't capable of demostrating its efectiveness.
d) One explanation could be a sample size not big enough. Increasing the sample size increases the power of the test, which decrease the probability of making a Type II error.
Other explanation could be a significance level that was too conservative (very low significance level). That means that the sample result was not considered a unlikely result becuase the threshold for unlikely results was set to a very low probability. This minimizes the probability of making a Type I error, but makes harder for true alternative hypothesis to be demonstrated.
Step-by-step explanation:
Answer:
all options are correct.
Step-by-step explanation:
The correct options among all the options are:
- <em>Ancient mathematicians used trigonometry to find angles of triangles.</em>
Trigonometry is used to find the size of a missing side or angle in a right- angled triangle using the sine, cosine or tangent ratios.
- <em>Ancient mathematicians used trigonometry to track the position of the sun.</em>
It is also used in oceanography in calculating the height of tides in oceans.
- <em>Tangent was the first trigonometric relationship used by mathematicians.</em>
The three main functions in trigonometry are Sine, Cosine and Tangent.The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions.
- <em>Cosine was the first trigonometric relationship used by mathematicians.
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- <em>Sine was the first trigonometric relationship used by mathematicians.</em>
Answer:
Tahiya attempted 3 incorrect answers.
Helmin attempted 11 incorrect answers.
Step-by-step explanation:
Correct = +4
Incorrect = -3
1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:
2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:
In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.
Tahiya attempted 3 incorrect answers.
Helmin attempted 11 incorrect answers.
Answer:
Identifying and Writing Equivalent Rates
Ratios compare two quantities. A rate is a type of ratio that compares two quantities that have different units of measurement. The word “per” is often used to describe rates.
Rates can be written as fractions. The first quantity is the numerator and the second quantity is the denominator. Different rates that have the same value are equivalent rates. You can find an equivalent rate the same way you find equivalent ratios—divide or multiply the numerator and the denominator by the same number.
Step-by-step explanation:
