You would like to determine if more than 40% of the observations in a population

Question

You would like to determine if more than 40% of the observations in a population are below 10. At = 0.10, conduct the test on the basis of the following 20 sample observations: Use Table 1.

6

13

5

8

6

9

7

7

10

7

7

11

13

14

8

14

14

13

13

7

Select the null and the alternative hypotheses.

Calculate the sample proportion. (Round your answer to 2 decimal places.)

Calculate the value of test statistic. (Round your answer to 2 decimal places.)

The p-value is: (Round p-value to 4 decimal places.)

What is the conclusion?

You would like to determine if more than 40% of the observations in a population are below 10. At = 0.10, conduct the test on the basis of the following 20 sample observations: Use Table 1.

Explanation / Answer

pcap = 11/20 = .55
p= .4

a.

Ho: p <= .4
Ha: p > .4

b.

Sample proportyion = .55 (as calc. above)

c.

test statistic = (.55-.4)/(sqrt(.4*.6/20)) = 1.37 with df of n-1=19

d.

0.05 Picture p-value < 0.10 is the right answer

e.

So, w.r.t.alpha = .10, we have to reject null hypothesis and accept the alternative hypothesis which means p>.4, the claim of th eperson is true
Option 4 is the right option

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