Solve the population proportion word problem by following the 5 step procedure: 1. A school principal claims that the numeracy rate of the senior high school students in his school is 60%. To test the claim, a researcher conducted a numeracy assessment on 500 senior high school students chosen through random sampling. It showed that 200 out of 500 students passed the assessment. Test if the claim is different at a= 0.05 level. Attached is the 5-step procedure Solution:STEP 1: State the null and alternative hypothesis.Ho: p - 0.10H.: p* 0.10STEP 2: Choose a level of significance. a = 0.05STEP 3: Compute the test statistic.Given: x - 125p - 0.10p =n - 780Zcom =1250.16-0.10Zcom =780a.10(1-0.10)7800.06p = 0.16Zcom0.03Z com= 5.59STEP 4: Determine the critical value.Since the2 which will represent the shaded region. Using the Area Under the Normal Curve Table, criticalvalues at 0.05 tevel of significance for two-tailed test are t 1.96.ernative hypothesis is non-directional, the two-tailed test shall be used. Divide a bya/2 = 0.025a/2 = 0.025Non-rejection Region-1.961.96Rejection RegionRejection RegionSTEP 5: Make a decision whether to reject or fail to reject the null hypothesis. Draw aconclusion.DECISION: Since the computed test statistic zeom = 5.59 is greater than the critical value orit falls in the rejection region, reject the null hypothesis.CONCLUSION: Therefore, we conclude that at 0.05 level of significance, there is enoughevidence that the percentage of Grade 7 students who are underweight is different from 10%.

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Description: Solve the population proportion word problem by following the 5 step procedure: 1. A school principal claims that the numeracy rate of the senior high school students in his school is 60%. To test the claim, a researcher conducted a numeracy assessme

Given p=0.6, pcap=200/500=0.4, n=500, alpha=0.05 1. H0:p=0.60 vs H1:p!=0.60 2) alpha=0.05 3) Test…

Answered: A school principal claims that the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Solve the population proportion word problem by following the 5 step procedure:

1. A school principal claims that the numeracy rate of the senior high school students in his school is 60%. To test the claim, a researcher conducted a numeracy assessment on 500 senior high school students chosen through random sampling. It showed that 200 out of 500 students passed the assessment. Test if the claim is different at a= 0.05 level.

Attached is the 5-step procedure

Solution:
STEP 1: State the null and alternative hypothesis.
Ho: p - 0.10
H.: p* 0.10
STEP 2: Choose a level of significance. a = 0.05
STEP 3: Compute the test statistic.
Given: x - 125p - 0.10
p =
n - 780
Zcom =
125
0.16-0.10
Zcom =
780
a.10(1-0.10)
780
0.06
p = 0.16
Zcom
0.03
Z com
= 5.59
STEP 4: Determine the critical value.
Since the
2 which will represent the shaded region. Using the Area Under the Normal Curve Table, critical
values at 0.05 tevel of significance for two-tailed test are t 1.96.
ernative hypothesis is non-directional, the two-tailed test shall be used. Divide a by
a/2 = 0.025
a/2 = 0.025
Non-rejection Region
-1.96
1.96
Rejection Region
Rejection Region
STEP 5: Make a decision whether to reject or fail to reject the null hypothesis. Draw a
conclusion.
DECISION: Since the computed test statistic zeom = 5.59 is greater than the critical value or
it falls in the rejection region, reject the null hypothesis.
CONCLUSION: Therefore, we conclude that at 0.05 level of significance, there is enough
evidence that the percentage of Grade 7 students who are underweight is different from 10%.

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