QUESTION 23 Question 23 A random sample of 210 observations results in 70 succes

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QUESTION 23 Question 23 A random sample of 210 observations results in 70 successes. Which of the tollowing statements is (arel) correct? This is a mutiple-answer question t may have more than one correct answers L. The point estimate of the population proportion is 0.7 ?The port estrate of the pop!ation proportion s oao-osa. ?"A95% confidence interval orthe poputon proportions 33 t 1.96 31-031) 10 0.33 + 0063 A 95% contderoe interval for the popanon prpoton is = 0.7 ±0062 0.7 ± 1.96-tron QUESTION 24 Question 24 Refer to Question 23 random sample of 210 observations resuts i n 70 successes Can we conclucle that the population proportion is ditferent s from 0.37 Compute the p-value draw To concha on wmthe 5% sgtcace irvel. TT?T Paragraph: Arial : 3(tan : E. E. T-,, Path p QUESTION-25 Cick Save and Submit to save and submit. Cliek Save All Anacers to save all arers 20 ?8 2 3

Explanation / Answer

Q.23. Option ii

The formula for point estimate, = no of success/sample = 70/210 = 0.33

Q.24

P-value for 95 % confidence at Z=1.96 is 0.024

95% confidence interval ,

LB =0.33-1.96*SQRT(0.33*(1-0.33)/210) = 0.2664

UB =0.33+1.96*SQRT(0.33*(1-0.33)/210) = 0.3935

So, the population portion is 95% confident that the population proportion is between 0.2664 and 0.3935

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