You wish to test the following claim ( H a ) at a significance level of α = 0.10 .
H o : μ = 72.5
H a : μ > 72.5
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 77.2 and a standard deviation of S D = 5.7 . What is the p-value for this sample? (Report answer accurate to four decimal places.)
1. p-value =
2. The p-value is...
(1)less than (or equal to) α
(2)greater than α
3. This p-value leads to a decision to...
(1)reject the null
(2)accept the null
(3)fail to reject the null
4. As such, the final conclusion is that...
(1)There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 72.5.
(2)There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 72.5.
(3)The sample data support the claim that the population mean is greater than 72.5.
(4)There is not sufficient sample evidence to support the claim that the population mean is greater than 72.5.
You wish to test the following claim ( H a ) at a significance level of...
You wish to test the following claim ( H a ) at a significance level of α = 0.02 . H o : μ = 51.6 H a : μ < 51.6 You believe the population is normally distributed and you know the population standard deviation is σ = 8.7 . You obtain a sample mean of M = 49.3 for a sample of size n = 51 . What is the test statistic for this sample? (Report answer accurate...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. You should use a non-pooled test. You obtain a sample of size n1=16n1=16 with a mean of M1=50.7M1=50.7 and a standard deviation of SD1=7.4SD1=7.4 from the first population. You obtain a sample of size n2=12n2=12 with a mean of M2=53.7M2=53.7 and a standard deviation of SD2=18.2SD2=18.2 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal...
You wish to test the following claim a significance level of α = 0.05 . H o : p = 0.5 H a : p > 0.5 You obtain a sample of size n = 461 in which there are 257 successful observations. What is the test statistic for this sample? test statistic = Round to 3 decimal places. What is the p-value for this sample? P-value = Use Technology Round to 4 decimal places. The p-value is... less than...
You wish to test the following claim ( H a H a ) at a significance level of α = 0.02 α = 0.02 H o : μ = 74.5 H a : μ ≠ 74.5 You believe the population is normally distributed and you know the standard deviation is σ = 14.8. You obtain a sample mean of M = 67.5 for a sample of size n = 26 What is the critical value for this test? (Report answer...
You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : p = 0.2 H a : p > 0.2 You obtain a sample of size n = 123 in which there are 35 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this...
You wish to test the following claim ( H a Ha ) at a significance level of α = 0.05 α=0.05 . For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract. H o : μ d = 0 Ho:μd=0 H a : μ d < 0 Ha:μd<0 You believe the population of difference scores is normally...
You wish to test the following claim ( H a ) at a significance level of α = 0.002 . H o : p = 0.46 H a : p < 0.46 You obtain a sample of size n = 295 in which there are 113 successful observations. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)...
You wish to test the following claim (H) at a significance level of a 0.10 H.: -724 H.72.4 You believe the population is normally distributed, but you do not know the standard deviation data 30.9 27 58.4 a. What is the test statistic for this sample? test statistic Round to 3 1 to 3 decimal places b. What is the p-value for this sample? p-value Round to 4 decimal places c. The p-value is.. Oless than (or equal to) a...
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You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:μ=52.8 Ha:μ≠52.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=55 with mean M=54 and a standard deviation of SD=6.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal...