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STATS-value hypothesis testing, z-score or t-table? Reject / confirm the null hypothesis?
1. Species is largely based on a trial analysis of 24 black-earth soil samples, giving evidence of the presence of large indigenous people before European arrival. Data samples of black-soil pH were collected and summarized with the sample average of 5.96 and standard deviation of 0.66. These data indicate that the true way of the black soil pH differs from 5.21, the pH value for many other types of soils in the area? (Alpha = 0.05). Use t-test. H0: mu = 5.21 versus H1: 5.21 mu does not equal mu Let denote the true average pH of black soil land in the Amazon (a) did not rule out the hypothesis zero (b) Reject the null hypothesis Okay, so I know how to do these kinds of questions, but im confused. I did: H0: mu = 5.21 H1: 5.21 mu does not equal z = average - MU / (sigma / sqrtn) = 5.96 to 5.21 / (0.66/sqrt24) = 5.67 Next, determine the value of p: P (Z> 5.67) This value is clearly too look too great on the table z, what am I doing wrong?
The given standard deviation is the sample standard deviation (not the difference type of the population). Therefore, as stated in the problem, you're supposed to use the t-test (not the z-test), t = 5.67 (your formula is the same for t and z) is correct. You compare with the value 5.67 t-critical (T-Table), with 23 degrees of freedom. The critical value with alpha = 0.05 for a two-tailed test is 2.069. Since the calculated t exceeds the critical t, you reject the null hypothesis and conclude H1: 5.21 mu does not equal. It is not possible to accurately assess P (t> 5.67). You need a computer program. But you could tell by looking at the table if it does less than 0.05 (the significance level given). Scroll 23 and see where the importance lies. Note: P (z> 5.67) is too large for a z-table. Yes that's right. This means that the probability is close to 0. You did nothing wrong. But z is not the appropriate test in this case. You would obtained the same if you used t instead of z.
Amazonia Black Water