It was desired to estimate the proportion of all USF students that have a tattoo

Question

It was desired to estimate the proportion of all USF students that have a tattoo. A random sample yielded the printout shown below. Use it to answer the following questions Hypothesis Test-One Proportion Sample Size 213 Successes Proportion 0.25822 Null Hypothesis: P-0.3 Alternative Hyp: P 0.3 Difference Standard Error Z (uncorrected) 0.04178 0.02999 1.33 P 0.1833 Method 95% Confidence Interval Simple Asymptotic (0.19944,0.31699) The sample size above is considered a large sample. Which of the following criteria was used to make that determination? 4 FS 20 F7 OD a F4 FS F3

Explanation / Answer

Answer : (B) Both np and nq are greater than 15.

here np = no of success = 55 >15

nq = number of failure = 213-55 > 15

Hence option B is correct, based on this we can say that sample is large.

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