re conducting a study to see if the proportion of men over the age of 50 v ate examined is significantly less than 0.39. A random sample of 787 men 200 have their prostate regularly examined. Do the sample data provide c rt the claim? Test the relevant hypotheses using a 1% level of significance mal places. hat are the correct hypotheses? (Select the correct symbols and use decim • of 0 < V I on the hypotheses, find the following: st Statistic = -7.8166 X tical-value= -2.3263 ✓ 0.39 0.39

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You are conducting a study to see if the proportion of men over the age of 50 who regularly have their
prostate examined is significantly less than 0.39. A random sample of 787 men over the age of 50 found
that 200 have their prostate regularly examined. Do the sample data provide convincing evidence to
support the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4
decimal places.
a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)
Ho: p
H₁: p
Based on the hypotheses, find the following:
b. Test Statistic = -7.8166 X
c. Critical-value= -2.3263
Shade: [Left of a value
-2.3
d. Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions.
The arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these
values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to
the left, to the right, between or left and right of the z-score(s).
-1
0.39
0.39
0
Click and drag the arrows to adjust the values.
OB
1
e. The correct decision is to Reject the null hypothesis
2
3
o that the
f. The correct summary would be: There is enough evidence to support the claim
proportion of men over the age of 50 who regularly have their prostate examined is significantly less than
0.39.
Transcribed Image Text:You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.39. A random sample of 787 men over the age of 50 found that 200 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: p H₁: p Based on the hypotheses, find the following: b. Test Statistic = -7.8166 X c. Critical-value= -2.3263 Shade: [Left of a value -2.3 d. Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the z-score(s). -1 0.39 0.39 0 Click and drag the arrows to adjust the values. OB 1 e. The correct decision is to Reject the null hypothesis 2 3 o that the f. The correct summary would be: There is enough evidence to support the claim proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.39.
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