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lapo4ka [179]
2 years ago
13

A spinner is divided into 15 identical sectors and labeled 1 through 15.

Mathematics
1 answer:
avanturin [10]2 years ago
4 0
Sender would be 4 x 7 divided by 15
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8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0
3 years ago
Jessica stuffed bear has a mass of 400 grams. What is its mass in milligrams?
expeople1 [14]
400,000 milligrams because 1 gram is 1000 milligram. 
3 0
3 years ago
Find the value of x.<br> plz help
Deffense [45]

Answer:

x = 6

Step-by-step explanation:

cross multiplication and a wild guess

8 0
3 years ago
I WILL AWARD BRAINLIST PLS SOLVE
Ivanshal [37]

Answer:

Ah yes rsm.

Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180

72+4x=180

108=4x

x=27

3 0
3 years ago
If a car can go 33 miles on a gallon of gas, how much gas will it use for 198 miles?
Anni [7]
Just do 198 divide by 33. The answer is how much gas will be used.
7 0
3 years ago
Read 2 more answers
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