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- Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.005 significance level. The null and alternative hypothesis would be: Họ: PN 2 pp Họ:N 2 D Ho: PN PD H1 : UN + UD Hị:PN + PD H1: N > uD The test is: right-tailed two-tailed left-tailed The sample consisted of 30 night students, with a sample mean GPA of 2.18 and a standard deviation of 0.07, and 30 day students, with a sample mean GPA of 2.14 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 hypothesisTest the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level. The null and alternative hypothesis would be: Но: р 0.5 Но:д — 0.5 Но:р > 0.5 Нi:р > 0.5 Н:р + 0.5 Hi:> 0.5 Hі:д < 0.5 Нi:д + 0.5 Hi:р < 0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 58% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: o Fail to reject the null hypothesis O Reject the null hypothesisTest the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.85 Ho:µ 0.85 Ho:µ= 3.4 Ho:µ > 3.4 H1:p + 0.85 H1:µ > 3.4 H1:p > 0.85 H1:p < 0.85 H1:µ # 3.4 H1:µ < 3.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 20 people, the sample mean GPA was 3.39 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
- If a researcher obtained a P-value of 0.01 for a hypothesis test that has a significance level of 0.05, what conclusion should the researcher make? 1 The null hypothesis should not be rejected. 2 The alternative hypothesis should not be rejected. 3 The null hypothesis should be rejected. 4 The alternative hypothesis should be rejected. 5 The null hypothesis must be false.Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%. The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically…A company has just developed a new antibiotic. 2 percent of children taking competing antibiotics experience a headache as a side effect. A researcher believes that the proportion of children taking the new antibiotic who experience a headache as a side effect is more than 0.02. We know that the null hypothesis is H0 : p = 0.02 and the alternative hypothesis is H1 : p > 0.02. Suppose that the sample evidence indicates thata. the null hypothesis is rejected. State the conclusion.b. the null hypothesis is not rejected. State the conclusion.
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 76% at a significance level of αα = 0.01. According to your sample, 54 out of 80 potential voters prefer Candidate A. For this study, we should use The null and alternative hypotheses would be: H0H0: (please enter a decimal) H1H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the population proportion is not significantly smaller than 76% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%. The sample data suggest that the populaton proportion is…Which of the following is the correct definition of the p-value? P(observed sample statistic | Ho true) O P(Ho true | HA false) P(observed or more extreme sample statistic | Ho true) O P(Ho true | observed sample statistic)Test 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)
- A medical equipment manufacturer believes that the proportion of faulty blood pressure monitors is greater than 0.11, the proportion stated by the supplier. We perform a hypothesis test at a significance level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.11 and Ha: p < 0.11. A researcher inspects 150 items and finds 25 faulty ones. She gives a p-value of 0.01 in her analysis. Which of the following definitions is the correct interpretation of the p-value? O The probability of getting 25 or more faulty blood pressure monitors out of 150 if the true faulty rate is 0.11. The value that the z-statistic must be less than in order to reject the null hypothesis. The probability of rejecting a true null hypothesis. O The probability that the true rate of faulty items is 0.01.You wish to test the following claim (HaHa) at a significance level of α=0.10 Ho:p1=p2 Ha:p1>p2You obtain 266 successes in a sample of size n1=401n from the first population. You obtain 380 successes in a sample of size n2=650 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) What is the p-value for this sample? (Report answer accurate to four decimal places.)Only about 19% of all people can wiggle their ears. Is this percent different for millionaires? Of the 392 millionaires surveyed, 82 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 19% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 19%. The data suggest the population proportion is not significantly different from 19% at αα = 0.05, so there is…
