Homework Answers
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p <= 0.1
Alternative Hypothesis, Ha: p > 0.1
This is right tailed test,
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.17 - 0.1)/sqrt(0.1*(1-0.1)/800)
z = 6.60
P-value Approach
P-value = 0
As P-value < 0.1,
reject the null hypothesis.
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Test the claim that the proportion of people who own cats is larger than 10% at...
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Test the claim that the proportion of people who own cats is significantly different than 40%...
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Test the claim that the proportion of people who own cats is larger than 20% at...
Test the claim that the proportion of people who own cats is
larger than 20% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≤0.2H0:μ≤0.2
Ha:μ>0.2Ha:μ>0.2
H0:μ≥0.2H0:μ≥0.2
Ha:μ<0.2Ha:μ<0.2
H0:p≤0.2H0:p≤0.2
Ha:p>0.2Ha:p>0.2
H0:p≥0.2H0:p≥0.2
Ha:p<0.2Ha:p<0.2
H0:p=0.2H0:p=0.2
Ha:p≠0.2Ha:p≠0.2
H0:μ=0.2H0:μ=0.2
Ha:μ≠0.2Ha:μ≠0.2
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 100 people, 26% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Test the claim that the proportion...
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Test the claim that the proportion of people who own cats is larger than 20% at the 0.05 significance level. The null and alternative hypothesis would be: H0:p≤0.2H0:p≤0.2 H1:p>0.2H1:p>0.2 H0:μ=0.2H0:μ=0.2 H1:μ≠0.2H1:μ≠0.2 H0:μ≤0.2H0:μ≤0.2 H1:μ>0.2H1:μ>0.2 H0:p≥0.2H0:p≥0.2 H1:p<0.2H1:p<0.2 H0:p=0.2H0:p=0.2 H1:p≠0.2H1:p≠0.2 H0:μ≥0.2H0:μ≥0.2 H1:μ<0.2H1:μ<0.2 The test is: (A) left-tailed (B) two-tailed (C) right-tailed Based on a sample of 100 people, 22% owned cats: The test statistic is: _____ (to 2 decimals) The p-value is: _____ (to 2 decimals) Based on this we: (A) Fail to...
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5. Test the claim that the proportion of people who own cats is smaller than 70%...
5.
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Test the claim that the proportion of people who own cats is larger than 80% at the 0.05 significance level. The null and alternative hypothesis would be: H:=0.8 H: < 0.8 H:p > 0.8 H:P < 0.8 H :P = 0.8 H.: > 0.8 H: 0.8 H: >0.8 H:p <0.8 H :p > 0.8 HP+0.8 H : <0.8 O O O & The test is: two-tailed left-tailed right-tailed O O O Based on a sample of 200 people, 81% owned...
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Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.1 significance level. The null and alternative hypothesis would be: OH:P < 0.4 Hp > 0.4 OH = 0.4 H +0.4 H:p = 0.4 Hp + 0.4 Ho:p = 0.4 HP < 0.4 Hou < 0.4 H:H > 0.4 H: > 0.4 HAM < 0.4 The test is: two-tailed right-tailed left-tailed The test 15! two-tailed right-tailed left-tailed Based on a sample of...
Test the claim that the proportion of people who own cats is
larger than 20% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≤0.2H0:μ≤0.2
Ha:μ>0.2Ha:μ>0.2
H0:μ≥0.2H0:μ≥0.2
Ha:μ<0.2Ha:μ<0.2
H0:p≤0.2H0:p≤0.2
Ha:p>0.2Ha:p>0.2
H0:p≥0.2H0:p≥0.2
Ha:p<0.2Ha:p<0.2
H0:p=0.2H0:p=0.2
Ha:p≠0.2Ha:p≠0.2
H0:μ=0.2H0:μ=0.2
Ha:μ≠0.2Ha:μ≠0.2
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 100 people, 26% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Test the claim that the proportion...
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level. The null and alternative hypothesis would be: Họ: A = 0.5 Ho:p> 0.5 Hp p = 0.5 HP < 0.5 Hp: < 0.5 Hp:u > 0.5 H:+0.5 H :p <0.5 H :P +0.5 H :p > 0.5 H :p > 0.5 H :< 0.5 O O O The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people,...
5.
Test the claim that the proportion of people who own cats is smaller than 70% at the 0.05 significance level The null and alternative hypothesis would be: Ho:p>0.7 H0'? 0.7 H1 : p < 0.7 H1 : ? > 0.7 ??: -0.7 H0'p 0.7 H1 : ? 0.7 H1 : p > 0.7 The test is: left-tailed two-tailed right-tailed Based on a sample of 500 people, 63% owned cats The test statistic is: (to 2 decimals) The p-value is...
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