In high school X, approximately 9 percent of the students saw a certain movie on opening night. From a random sample of 200 students from high school Y, 22 saw the movie on opening night. Consider a hypothesis test to investigate whether the proportion of all students in high school Y who saw the movie on opening night is greater than that of high school X. Which of the following is the standard deviation used to calculate the test statistic for the one-sample z-test?

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Answer:

B sqrt[((0.09)(0.91))/200]

Explanation:

The expression for the standard deviation used to calculate the test statistic for the one-sample z-test is; S = √(0.09(1 - 0.09)/200)

Standard Deviation

The formula for

We are given;

Sample proportion; p^ = 9% = 0.09

Sample size; n = 200

Formula for the standard deviation here is;

S = √(p^(1 - p^)/n)

Plugging in the relevant values gives;

S = √(0.09(1 - 0.09)/200)

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