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kupik [55]
3 years ago
8

A survey found 195 of 250 randomly selected Internet users have high-speed Internet access at home. Construct a 90% confidence i

nterval for the proportion of all Internet users who have high-speed Internet access at home.
a. (1.19, 1.38)
b. (0.728,0.832)
c. (0.731, 0.829)
d. (0.737, 0.823)
Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

d. (0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 195/250 = 0.78

Number of samples n = 250

Confidence interval = 90%

z value(at 90% confidence) = 1.645

Substituting the values we have;

0.78 +/- 1.645√(0.78(1-0.78)/250)

0.78 +/- 1.645√(0.0006864)

0.78 +/- 1.645(0.026199236630)

0.78 +/- 0.043097744256

0.78 +/- 0.043

(0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

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Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?
In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0
3 years ago
Dianna made several loaves of bread yesterday. Each loaf required 2 cups of flour. All together, she used 135 cups of flour. How
irinina [24]

Answer:

The answer is not in the options, it is 67.5

Step-by-step explanation:

135/2 = 67.5

4 0
4 years ago
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Masteriza [31]

Answer:

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8 0
3 years ago
The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene
madreJ [45]

Answer:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  

Null hypothesis :\mu_e = \mu_g

Alternative hypothesis: \mu_e \neq \mu_g

Or equivalently:

Null hypothesis :\mu_e - \mu_g = 0

Alternative hypothesis: \mu_e - \mu_g \neq 0

Other important thing is that on the alternative hypothesis we never can have the symbol equal.  

So on this case the best options is:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

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