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ella [17]
3 years ago
9

You want to estimate the mean amount of time college students spend on the Internet each month. How many college students must y

ou survey to be 95% confident that your sample mean
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

= 1.96^2\times \frac{210^2}{15^2}

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

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VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that n = 323, p = 0.86

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222

The upper limit of this interval is:

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The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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Answer:

765

Step-by-step explanation:

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