Suppose you wish to compare the characteristics of tuberculosis meningitis in patients infected with HIV and those who are not infected. In particular, you would like to determine whether the two populations have the same mean age. A sample of 43 infected patients has a mean age of 26.9 years and a standard deviation of 5.3 years; a sample of 23 patients who are not infected has a mean age or 36.1 years and standard deviation of 19.8 years. A. Do you think these two underlying populations have equal variances? Explain in one sentence B. Test the null hypothesis that the two populations of patients have the same mean age at the 0.05 level of significance. Select one With a p-value greater than 0.05, we can reject the null hypothesis at the 5% level. With a p-value less than 0.05, we fail to reject the null hypothesis at the 5% level. With a p-value greater than 0.05, we fail to reject the null hypothesis at the 5% level. With a p-value less than 0.05, we can reject the null hypothesis at the 5% level. C.Would you expect that the 95% confidence interval for the true difference in population means would contain the value 0? Select one Without calculating a confidence interval, we can not answer this. Yes, we reject the value 0 with our hypothesis test. No, we reject the value 0 with our hypothesis test. Confidence intervals never contain 0.
Suppose you wish to compare the characteristics of tuberculosis meningitis in patients infected with HIV and those who are not infected. In particular, you would like to determine whether the two populations have the same mean age. A sample of 43 infected patients has a mean age of 26.9 years and a standard deviation of 5.3 years; a sample of 23 patients who are not infected has a mean age or 36.1 years and standard deviation of 19.8 years. A. Do you think these two underlying populations have equal variances? Explain in one sentence B. Test the null hypothesis that the two populations of patients have the same mean age at the 0.05 level of significance. Select one With a p-value greater than 0.05, we can reject the null hypothesis at the 5% level. With a p-value less than 0.05, we fail to reject the null hypothesis at the 5% level. With a p-value greater than 0.05, we fail to reject the null hypothesis at the 5% level. With a p-value less than 0.05, we can reject the null hypothesis at the 5% level. C.Would you expect that the 95% confidence interval for the true difference in population means would contain the value 0? Select one Without calculating a confidence interval, we can not answer this. Yes, we reject the value 0 with our hypothesis test. No, we reject the value 0 with our hypothesis test. Confidence intervals never contain 0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose you wish to compare the characteristics of tuberculosis meningitis in patients infected with HIV and those who are not infected. In particular, you would like to determine whether the two populations have the same mean age. A sample of 43 infected patients has a mean age of 26.9 years and a standard deviation of 5.3 years; a sample of 23 patients who are not infected has a mean age or 36.1 years and standard deviation of 19.8 years.
A. Do you think these two underlying populations have equal variances? Explain in one sentence
B. Test the null hypothesis that the two populations of patients have the same mean age at the 0.05 level of significance. Select one
With a p-value greater than 0.05, we can reject the null hypothesis at the 5% level.
With a p-value less than 0.05, we fail to reject the null hypothesis at the 5% level.
With a p-value greater than 0.05, we fail to reject the null hypothesis at the 5% level.
With a p-value less than 0.05, we can reject the null hypothesis at the 5% level.
C.Would you expect that the 95% confidence interval for the true difference in population means would contain the value 0? Select one
Without calculating a confidence interval, we can not answer this.
Yes, we reject the value 0 with our hypothesis test.
No, we reject the value 0 with our hypothesis test.
Confidence intervals never contain 0.
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