in a clinical test with 570 subjects, 135 showed improvement from the treatment. find the margin of error for the 95.0 percent confidence interval used to estimate the population proportion that showed improvement.



Answer :

On solving the provided question, we can say that - Level significance  = 0.05, Z = 1.96, Margin of error= 0.0349

What is Null Hypothesis?

A well-known statistical theory called the null hypothesis asserts that there is no statistical connection between two sets of observable data and measurable phenomena for a given set of observed variables. A null hypothesis is a kind of statistical hypothesis that asserts that a certain collection of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. A scientific hypothesis is a prediction of what researchers will discover via their investigation. A statistical hypothesis, however, states what a statistician does not anticipate. The null hypothesis is so named because of this.

Null hypothesis,

Sample size, n = 570

Sample portion, P’ = 135/579 = .2368

At 95% confidence,

Level significance  = 0.05

Z = 1.96

Margin of error= 0.0349

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