Question
Can i get help on the problem below, I'm having trouble where the question marks are. This is a ONE-sample hypothesis test of means using
Can i get help on the problem below, I'm having trouble where the question marks are.
This is a ONE-sample hypothesis test of means using one of the variables from a study. Use ana (or "alpha") = .05. (You may do either a one or two tailed test - use the one that makes the most interesting question to you.)
State the question you are attempting to answer with your hypothesis test in plain English. Hint: you "test the theory" of what is in Ho and "try to prove" what is in H1.
Ho: equal to 40
H1: is not equal to 40
Show the 7 steps for this test in your answer.By the way you do not have to draw the picture of the rejection regions in step 4. If you get step 5 correct, then I will be able to figure out what your picture would have looked like! HINT:If your sample size is greater than 30 you use the z table and if it is less than 31 you use the t table.
Insert 7 steps and SPSS output by step 6 here. Make sure your spss output has the two boxes illustrated.
One-Sample Statistics | ||||
N | Mean | Std. Deviation | Std. Error Mean | |
Age (in exact years) | 35 | 41.8571 | 13.63418 | 2.30460 |
One-Sample Test | |||||||
Test Value = 40 | |||||||
t | df | Significance | Mean Difference | 95% Confidence Interval of the Difference | |||
One-Sided p | Two-Sided p | Lower | Upper | ||||
Age (in exact years) | .806 | 34 | .213 | .426 | 1.85714 | -2.8264 | 6.5406 |
Step 1: State the null and alternative hypothesis (H0 and H1).
Ho: equal to 40
H1: is not equal to 40
Step 2: State level of significance or "alpha."
For this example, we'll use =.05
Step 3: Determine the test distribution to use - z or t.
For this example, although the population parameters are unknown, we have a sample size bigger than 30 so we use z.
Step 4 and 5
In this case, we have one tailed test so all 1% goes into the LEFT or NEGATIVE tail. That
translates to z ????? NEED THIS Z =WHAT
Step 5: State the decision rule.
Reject the null if the TR< ????? otherwise FTR. ???
Step 6: SPSS TR says=.806
Step 7: Compare TR value with the decision rule and make a statistical decision.
+2.13falls in the rejection region. Therefore, we reject the null and can conclude that the mean age of 95% confidence.
P-value in plain English p=100% .213% = 2.13% or.??? p< therefore reject the null hypothesis.
In this case P=.213 or 2.13% P= 100% - ???%=.213 p
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