Use the GSS dataset to answer the questions below. All analysis must be completed using your own GSS data set. Failure to use your own GSS data set will result in a zero for the question. As above, you will need to read and interpret the question to determine which statistical test is appropriate, as well as whether it is a onetailed or twotailed test. Similar to the questions above, you must: 1. State the null and research hypotheses 2. Provide the Z(critical), T(critical), or χ2 (critical) score corresponding to the α thresh old for your test 3. Explicitly provide your test statistic that is in your SPSS output (the exception is for tests of proportion, as the test statistic is not returned by SPSS) 4. Provide your decision about statistical significance You should also substantively interpret the results of your test (again, keep it short). All of the necessary SPSS output must be pasted into your document.
2. The population mean for a fulltime worker is 40 hours per week. On average, do the respondents in the GSS work either significantly more or significantly less than 40 hours a week? Use an α value of 0.01 and the variable HRS1 to answer this question. (10 points)
OneSample Statistics 


N 
Mean 
Std. Deviation 
Std. Error Mean 
NUMBER OF HOURS WORKED LAST WEEK 
858 
39.75 
15.208 
.519 
OneSample Test 


Test Value = 0.01 

t 
df 
Sig. (2tailed) 
Mean Difference 
95% Confidence Interval of the Difference 

Lower 

NUMBER OF HOURS WORKED LAST WEEK 
76.538 
857 
.000 
39.738 
38.72 
OneSample Test 


Test Value = 0.01 
95% Confidence Interval of the Difference 

Upper 

NUMBER OF HOURS WORKED LAST WEEK 
40.76 
1)
Ho:X =
Ha:X
2)
Z CRITICAL VALUE IS 2.58 FOR TWO TAIL TEST
T CRITICAL VALUE IS 2.58 FOR TWO TAIL TEST
ttest = (sample mean  population mean)/ standard error
= (39.7540)/0.518
= 0.481695568
so accept the null hypothesis because of calculated t value is less than critical t (2.58) value so, there is no significant evidence that sample mean and population mean are different .
confidence interval = mean t * se
= 39.75 2.58 * 0.519
= 39.75 1.33902
lower = 38.41098 to upper = 41.08902
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