MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The null and alternative hypothesis would be: Ho:p = 0.2 H1:p 0.2 Ho:µ = 0.2 Η :μ > 0.2 Ho:p = 0.2 H1:p + 0.2 Ho: µ = 0.2 Η : μ< 0.2 Based on a sample of 65 people, 18% owned cats The test statistic is The positive critical value is Based on this we Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardTest the claim that the proportion of men who own cats is larger than 50% at the .025 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, 51% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardThis is the full questionarrow_forward
- Test the claim that the proportion of people who own cats is significantly different than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≥0.1�0:�≥0.1H1:p<0.1�1:�<0.1 H0:p=0.1�0:�=0.1H1:p≠0.1�1:�≠0.1 H0:μ≥0.1�0:�≥0.1H1:μ<0.1�1:�<0.1 H0:μ≤0.1�0:�≤0.1H1:μ>0.1�1:�>0.1 H0:p≤0.1�0:�≤0.1H1:p>0.1�1:�>0.1 H0:μ=0.1�0:�=0.1H1:μ≠0.1�1:�≠0.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 18% owned catsThe p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardTest 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: = PF Ho: M MF Ho: PM = PF Ho: M = μF Ho:μπ HF Ho: PM H₁:μM > μF H₁:PMarrow_forwardTest the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.The null and alternative hypothesis would be: H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD The test is: two-tailed left-tailed right-tailed The sample consisted of 45 night students, with a sample mean GPA of 2.48 and a standard deviation of 0.07, and 45 day students, with a sample mean GPA of 2.51 and a standard deviation of 0.08.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 hypothesisarrow_forwardTest the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1H1:μ>3.1H1:μ>3.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 30% owned catsBased on a sample of 60 women, 50% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardTest the claim that the mean GPA of night students is larger than 3.1 at the .005 significance level. The null and alternative hypothesis would be: 0.775 Ho:p= 0.775 Ho:µ = 3.1 Ho:u 3.1 Ho:µ = 3.1 Họ:p= 0.775 o Ho:p H1:p > 0.775 H1:p 3.1 Hj:p + 0.775 / The test is: right-tailed left-tailed two-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.05 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis P Type here to search HEWLETT-PACKARD 13 ? 2: 米 144 esc 23 3 $4 4 @ & 1 6. 7 8. W E Y tab caps lock A G 2.arrow_forwardTest the claim that the proportion of people who own cats is smaller than 30% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p 0.3 Ho: u > 0.3 Ho:µ 0.3 H1:p 0.3 H1:µ 0.3 H1:p # 0.3 0.3 The test is: right-tailed left-tailed two-tailed Based on a sample of 800 people, 23% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis O Reject the null hypothesisarrow_forwardTest the claim that the proportion of people who own cats is smaller than 80% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.8 Họ:µ > 0.8 Ho:p 0.8 Hị: µ > 0.8 H1:µ + 0.8 H1:p< 0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people, 75% owned cats The p-value is: (to 2 decimals)arrow_forwardTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:pM=pFH1:pM<pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM≠pF H0:μM=μFH1:μM≠μF H0:μM=μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 60 women, 55% owned catsThe 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 hypothesisarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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