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Do Homework Katie Hughes Google Chrome i Secure https/ /PlayerHomework.aspoxhomeworkld-4630762388iquestionld-S&flushed-false;&ecld; 48164478xcenterwin-yes Stats LN Online- Spring 18- CRN 22608 Homework: 7.4 HW Score: 0 of 1 pt 7.4.5-T Katie Hughe 6 or6 (5 complete) HW Sc Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of signlicance a using the given sample statistics Claim p#027: :005, sample statistics p 026, n 200 Can the normal sampling distribution be used? A. Yes, becauseisgeater than -o05 O B. No, because nq is less than 5 O C. No, because np is less than 5 O D. Yes, because both np and nq are greater than or equal to 5 Click to select your answer and then click check Answer 4 Type here to search

Explanation / Answer

To use the normal sampling distribution, both np and np must be greater then or equal to 5.

Begin by calculating np. The claim p not equal 0.27 implies the hypothesized proportion p = 0.27.

np = 200*(0.27)= 54

Next calculate np. First determine the value for q.

q = 1 –p = 1-0.27 = 0.73

Use the value of q to find nq.

nq = 200*(0.73) = 146

Since both np and nq are greater than or equal to 5, the normal sampling distribution can be used.

Answer:- Option "D" is correct.

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