Test the claim that the proportion of people who own cats is
smaller than 30% at the 0.01 significance level.
The null and alternative hypothesis would be:
H0:μ=0.3H0:μ=0.3
H1:μ≠0.3H1:μ≠0.3
H0:μ≥0.3H0:μ≥0.3
H1:μ<0.3H1:μ<0.3
H0:p≤0.3H0:p≤0.3
H1:p>0.3H1:p>0.3
H0:μ≤0.3H0:μ≤0.3
H1:μ>0.3H1:μ>0.3
H0:p=0.3H0:p=0.3
H1:p≠0.3H1:p≠0.3
H0:p≥0.3H0:p≥0.3
H1:p<0.3H1:p<0.3
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 100 people, 28% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Claim: That the proportion of people who own cats is smaller than 30%.
The null and alternative hypothesis is
H0: p ≥ 0.3
H1: p < 0.3
The test is: Left-tailed
( Because alternative hypothesis has less than sign)
Sample size = n = 100
Sample proportion = = 0.28
Test statistic is
P-value = P(Z < - 0.44) = 0.33
( From z table)
Level of significance = 0.01
P-value > 0.01 we fail to reject null hypothesis.
Test the claim that the proportion of people who own cats is smaller than 30% at...
Test the claim that the proportion of people who own cats is smaller than 40% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4 H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4 H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4 H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 33% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
1)Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: H0:μM=μFH0:μM=μF H1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pF H1:pM<pFH1:pM<pF H0:pM=pFH0:pM=pF H1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF H0:μM=μFH0:μM=μF H1:μM>μFH1:μM>μF Correct The test is: right-tailed two-tailed left-tailed Correct Based on a sample of 80 men, 30% owned cats Based on a sample of 60 women, 45% owned cats The test statistic is: (to 2 decimals) The...
Test the claim that the proportion of men who own cats is smaller than 60% at the .05 significance level. The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6 H1:μ<0.6H1:μ<0.6 H0:p=0.6H0:p=0.6 H1:p>0.6H1:p>0.6 H0:μ=0.6H0:μ=0.6 H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6 H1:p<0.6H1:p<0.6 H0:p=0.6H0:p=0.6 H1:p≠0.6H1:p≠0.6 H0:μ=0.6H0:μ=0.6 H1:μ>0.6 Correct The test is: (A) two-tailed (B) right-tailed (C) left-tailed Correct Based on a sample of 100 people, 53% owned cats: The test statistic is: _____ (to 2 decimals) The critical value is: _____ (to 2 decimals) Based on this we:...
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...
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...
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 men who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p=0.8 H1:p≠0.8 H0:μ=0.8 H1:μ≠0.8 H0:p=0.8 H1:p>0.8 H0:p=0.8 H1:p<0.8 H0:μ=0.8 H1:μ<0.8 H0:μ=0.8 H1:μ>0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 45 people, 71% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject...
Test the claim that the proportion of people who own cats is smaller than 70% at the 0.10 significance level. The null and alternative hypothesis would be: H 0 : μ = 0.7 H 1 : μ ≠ 0.7 H 0 : μ ≥ 0.7 H 1 : μ < 0.7 H 0 : p ≤ 0.7 H 1 : p > 0.7 H 0 : p ≥ 0.7 H 1 : p < 0.7 H 0 : p =...
Test the claim that the proportion of people who own cats is smaller than 60% at the 0.10 significance level. The null and alternative hypothesis would be: The test is: right-tailed left-tailed two-tailed Based on a sample of 600 people, 58% owned cats The p-value for this test is 0.1587 Based on this we: Fail to reject the null hypothesis and cannot conclude the claim is correct Reject the null hypothesis and conclude the claim is correct
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,...