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Natali5045456 [20]
2 years ago
14

A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS

U students would eat there at least once a week. Suppose the company is about to carry out a hypothesis test. 7.
a. State the hypotheses.
b. Clearly state, in terms of this particular problem, what a Type I error would mean.
c. Describe possible consequences of a Type I error in this situation.
d. Clearly state, in terms of this particular problem, what a Type II error would mean.
e. Describe possible consequences of a Type II error in this situation.
Mathematics
1 answer:
kari74 [83]2 years ago
7 0

Answer:

a) Null and alternative hypothesis:

H_0: \pi=0.1\\\\H_a:\pi>0.1

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

H_0: \pi=0.1\\\\H_a:\pi>0.1

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Hey there!

When we put a number in scientific notation, we want the first number to be at least 1 and less than 10. There must be a digit from 1-9 in the ones place.

With the number 0.000015, we can move the decimal place 5 places to the right and we have 1.5, which is more than one and less than ten.

Because we moved the decimal place 5 places to the right, 1.5 is multiplied by 10 to the power of -5.

The 5 is the number of places the decimal is moved, and the negative sign is because we moved it to the right.

10^(-5) is the same as 0.00001, just for context.

So, 0.000015 meters in scientific notation is 1.5 x 10^(5) meters.

Hope this helps!

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3 years ago
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lana66690 [7]

Answer:

s = 35pi units

We can either leave it with pi in the answer or approximate

s= 109.9557429 units

Step-by-step explanation:

Arc length is found by

s = r * theta where r is the radius and theta is given in radians

Changing the angle from 150 degrees to radians by multiplying by pi/180

150 *pi/180 = 5/6 pi

Now we can use the formula

s = 42 * 5/6 pi

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We can either leave it with pi in the answer or approximate

s= 109.9557429 units

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Answer:

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Read 2 more answers
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