Test the claim that the proportion of people who own cats is smaller than 80% at the 0.005 significance level. The null and alternative hypothesis would be: Ho: µ < 0.8 Ho:µ H1 : µ > 0.8 H1:µ # 0.8 H1:p + 0.8 0.8 Но:р — 0.8 Ho:p < 0.8 Ho:µ > 0.8 Ho:p > 0.8 H1:p > 0.8 H1: µ < 0.8 H1:p < 0.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 800 people, 72% owned cats The test statistic is: (to 2 decimals)
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- In a clinical trial, 17 out of 900 patients taking a prescription drug complaint of flu like symptoms. Suppose that it is known that 1.3% of the patients taking competing drugs complain of flu like symptoms. Is there sufficient evidence to conclude that more than 1.3% of the drugs user experience food like symptoms as a side effect at the 0.01 level of significance? what are the normal and alternative hypothesis?A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 300 people, 65% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisA well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 1% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 10% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≥0.1H1:p<0.1 H0:p=0.1 H1:p≠0.1 H0:μ≤0.1H1:μ>0.1 H0:μ=0.1H1:μ≠0.1 H0:p≤0.1H1:p>0.1 H0:μ≥0.1H1:μ<0.1 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 86% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisA well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 84% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 80% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisA well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 200 people, 19% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 10% at the 0.005 significance level.The null and alternative hypothesis would be: H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 49% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 The test is: right-tailed two-tailed left-tailed The test statistic is: ___?_____ (to 3 decimals)The p-value is: ___?___ (to 4 decimals)(1) Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant (2) What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? (3) Carry out an F -test at the 1% significance level to determine whether the model is significantA well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 47% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4 H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4 H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 The test is: right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- A well-known brokerage firm executive claimed that at least 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals. What would be our formal conclusion about the null hypothesis at a 0.05 significance level?A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 75% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 80% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisA well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 52% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 60% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ≤0.6H1:μ>0.6 H0:p≤0.6H1:p>0.6 H0:μ=0.6H1:μ≠0.6 H0:p≥0.6H1:p<0.6 H0:p=0.6H1:p≠0.6 H0:μ≥0.6H1:μ<0.6 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis