You are conducting a study to see if the proportion of men over the age of 50 whoregularly have their prostate examined is significantly less than 0.32. Arandom sample of 702 men over the age of 50 found that 195 have their prostateregularly examined. Do the sample data provide convincing evidence to support theclaim? Test the relevant hypotheses using a 10% level of significance. Give answer toat least 4 decimal places.What are the correct hypotheses? (Select the correct symbols and use decimal valuesnot percentages.)Но: Р0.32Hip0.32Based on the hypotheses, find the followingTest StatisticCritical-value=|Shade the sampling distribution curve with the correct critical value(s) and shade thecritical regions. The arrows can only be dragged to z-scores that are accurate to 1place after the decimal point (these values correspond to the tick marks on thehorizontal 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)Shade: 2 regionsClick and drag the arrows to adjust the values+rtttHtTITHi02-4-3-11-1.52.5The correct decision is to Reject the null hypothesisThe correct summary would be:thatThere is enough evidence to support the claimthe proportion of men over the age of 50 who regularly have their prostateexamined is significantly less than 0.32

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Asked Nov 13, 2019
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Please explain how to do this problem on paper and TI 84

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 0.32. A
random sample of 702 men over the age of 50 found that 195 have their prostate
regularly examined. Do the sample data provide convincing evidence to support the
claim? Test the relevant hypotheses using a 10% level of significance. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and use decimal values
not percentages.)
Но: Р
0.32
Hip
0.32
Based on the hypotheses, find the following
Test Statistic
Critical-value=|
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)
Shade: 2 regions
Click and drag the arrows to adjust the values
+rtttHtTITHi
0
2
-4
-3
-1
1
-1.5
2.5
The correct decision is to Reject the null hypothesis
The correct summary would be:
that
There is enough evidence to support the claim
the proportion of men over the age of 50 who regularly have their prostate
examined is significantly less than 0.32
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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 0.32. A random sample of 702 men over the age of 50 found that 195 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Но: Р 0.32 Hip 0.32 Based on the hypotheses, find the following Test Statistic Critical-value=| 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) Shade: 2 regions Click and drag the arrows to adjust the values +rtttHtTITHi 0 2 -4 -3 -1 1 -1.5 2.5 The correct decision is to Reject the null hypothesis The correct summary would be: that There is enough evidence to support the claim the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.32

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Expert Answer

Step 1

The test hypotheses are:

Null hypothesis:

H0: p = 0.32, that is, 32% in the sample of 702 men over the 50 who regularly have their prostate examined.

Alternative hypothesis:

H0: p < 0.32, that is, less than 32% in the sample of 702 men over the 50 who regularly have their prostate examined.

Here, the sample size is, n = 702; the number of men over the 50 who regularly have their prostate examined is, x = 195.

Step 2

Test statistic:

Test statistic formula:
р-р
p)
(1- p
п
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Test statistic formula: р-р p) (1- p п

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Step 3

T1-84 procedure to obtain test statistic:

  • Press the STAT button and highlight TESTS.
  • Scroll down to 5: 1-PropZTest…
  • Highlight Stats and hit ENTER
  • Choose STATS, Enter values for p0 as 0.32,...
1-PropZTest
Prop. 32
z=-2.39817128
P.0082385718
7ל?
2777777778
n 702
=
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1-PropZTest Prop. 32 z=-2.39817128 P.0082385718 7ל? 2777777778 n 702 =

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