omework: Section 7.4- homework core:0 of 1 pt 7.4.5-T 2 of 5 (4 complete) HW Sco

Question

omework: Section 7.4- homework core:0 of 1 pt 7.4.5-T 2 of 5 (4 complete) HW Score: 56.37%, 2.82 of 5 pt Question Help * Decide whether the normal sampling dstr bution can be used if t can be used, test the claim about the population proportion p at the using the given sample statistics. en level of S ?fcance ? Claim: p#026, :001: Sample statistics: p 0.23. na 100 Can the normal sampling distribution be used? OB. Yes, because both np and nq are greater than or equal to 5. ° C. Yes, because pq is greater than ?:0 01. 0 D. No, because ng is less than 5 4

Explanation / Answer

Normal sampling distribtion is used for th proportions if

np >= 5 and n(1-p) >= 5

np = 100 * 0.26 = 26 >= 5

n(1-p) = 100 * 0.74 = 74 >= 5

Both conditions are satisfied.

Correct option is

Yes, because both np and nq are greater than equal to 5

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