1. In a survey of 150 high school students, 13 had suffered from an anxiety disorder at one time in the lives. Test at 1 % significance level to see if this sample provides evidence that the proportion of all high school students who suffered from an anxiety disorder at one time in their lives is more than 6%. (a) Define the parameter with proper notation. State the null and alternate hypothesis. (b) Is it one or two tailed test? Give the direction if one tailed. What is the level of significance? (c) Find the best point estimate rounded to three decimal places, with notation. proper (d) If we were to draw a 1000 samples randomization distribution, each of size 150, what is the expected shape and center of this randomization distribution? e) Draw a smooth curve of the randomization distribution and shade the area that represents the p- value for this sample. (f) Using the following randomization distribution, find the p-value corresponding to the best point estimate. Describe the strength of the evidence based on this p-value (scale is 0.0067 units between each number). Left Tail Two-Tail Right Tail 140 samples -1000 mean 0.059 std error 0.019 120 100 80 60 40 63 32 W 8 20 S3 0.00 0.02 0.04 0.05 null 0.06 0.08 0.10 09 0.12 S arPaAMAMAAAAAAA eA 33

Question

I'm studying for an exam tomorrow, and I keep getting stuck on the same section of problems, no matter the problem. I've attached an example, the part I keep getting stuck of is part (e). I understand the general concept, but each time I do it, it's incorrect. 

I would really appreciate some help with this! Thanks!

1. In a survey of 150 high school students, 13 had suffered from an anxiety disorder at one time in the
lives. Test at 1 % significance level to see if this sample provides evidence that the proportion of all high
school students who suffered from an anxiety disorder at one time in their lives is more than 6%.
(a) Define the parameter with proper notation. State the null and alternate hypothesis.
(b) Is it one or two tailed test? Give the direction if one tailed. What is the level of significance?
(c) Find the best point estimate rounded to three decimal places, with
notation.
proper
(d) If we were to draw a 1000 samples randomization distribution, each of size 150, what is the
expected shape and center of this randomization distribution?
e) Draw a smooth curve of the randomization distribution and shade the area that represents the p-
value for this sample.
(f) Using the following randomization distribution, find the p-value corresponding to the best point
estimate. Describe the strength of the evidence based on this p-value (scale is 0.0067 units between
each number).
Left Tail
Two-Tail Right Tail
140
samples
-1000
mean 0.059
std error 0.019
120
100
80
60
40
63
32
W 8
20
S3
0.00
0.02
0.04
0.05
null 0.06
0.08
0.10
09
0.12
S arPaAMAMAAAAAAA
eA 33
Expand
Transcribed Image Text

1. In a survey of 150 high school students, 13 had suffered from an anxiety disorder at one time in the lives. Test at 1 % significance level to see if this sample provides evidence that the proportion of all high school students who suffered from an anxiety disorder at one time in their lives is more than 6%. (a) Define the parameter with proper notation. State the null and alternate hypothesis. (b) Is it one or two tailed test? Give the direction if one tailed. What is the level of significance? (c) Find the best point estimate rounded to three decimal places, with notation. proper (d) If we were to draw a 1000 samples randomization distribution, each of size 150, what is the expected shape and center of this randomization distribution? e) Draw a smooth curve of the randomization distribution and shade the area that represents the p- value for this sample. (f) Using the following randomization distribution, find the p-value corresponding to the best point estimate. Describe the strength of the evidence based on this p-value (scale is 0.0067 units between each number). Left Tail Two-Tail Right Tail 140 samples -1000 mean 0.059 std error 0.019 120 100 80 60 40 63 32 W 8 20 S3 0.00 0.02 0.04 0.05 null 0.06 0.08 0.10 09 0.12 S arPaAMAMAAAAAAA eA 33

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