the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is t
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Answer:
Standard error for the proportion of social media users who are concerned about privacy
S.E = 0.0219
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given data recent survey of 500 social media users, 300 stated that they were concerned about privacy
<em>Size of random sample 'n' = 500</em>
<em> x = 300</em>
<em>sample proportion </em><em></em>
Standard error for the proportion of social media users who are concerned about privacy is determined by
<em></em>
<em> </em><em></em>
Answer:
The critical value that corresponds to a confidence level of 99% is, 2.58.
Step-by-step explanation:
Consider a random variable <em>X</em> that follows a Binomial distribution with parameters, sample size <em>n </em>and probability of success <em>p</em>.
It is provided that the distribution of proportion of random variable <em>X, </em>, can be approximated by the Normal distribution.
The mean of the distribution of proportion is,
The standard deviation of the distribution of proportion is, .
Then the confidence interval for the population proportion <em>p</em> is:
The confidence level is 99%.
The significance level is:
Compute the critical value as follows:
That is:
Use the <em>z</em>-table for the <em>z-</em>value.
For <em>z</em> = 2.58 the P (Z < z) = 0.995.
And for <em>z</em> = -2.58 the P (Z > z) = 0.005.
Thus, the critical value is, 2.58.
