Consider the following competing hypotheses and accompanying

Consider the following competing hypotheses and accompanying sample results. Use Table 2.

Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Use the 10% significance level to make a conclusion.

Consider the following competing hypotheses and accompanying sample results. Use Table 2.

Hypotheses: H0: D 4; HA: D > 4

Sample results: = 6.6, sD = 7.0, n = 16

Solution

As we can see, this is a    1   tailed test.  
                      
Getting the test statistic, as          
          
dbar = sample mean =    6.6      
uo = hypothesized mean =    4      
n = sample size =    16      
s = standard deviation =    7      
          
Thus, t = (dbar - uo) * sqrt(n) / s =    1.485714286 [ANSWER, PART A]

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Also, the p value is, using technology,      
          
p =    0.079033916

Hence, it is option 2: 0.05 < p-value < 0.10 [ANSWER, OPTION 2]  

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As p < 0.10 (alpha), then

OPTION 1: Reject H0 since the p-value is less than .