2 Parts A B and C please due midnight 2 2 Award 1000 points

2. 2 Award: 10.00 points Consider the following competing hypotheses and sample data. Use Iable 1. Ho: ps 0.50 HA: P> 0.50 n= 26 0.77 Determine the value of the test statistic. (Round intermediate calculations to 4 decimal places and your answer to 2 decimal places.) a. Test statistic b. Determine the critical value at the 1% sigrificance level. (Round your answer to 2 decimal places) Critical value c. What is the conclusion? Do not reject Ho since the value of the test statistic is less than the critical value Reject Ho since the value of the test statistic is less than the critical value. Do not reject Ho since the value of the test statistic is more than the critical value. OReject Ho since the value of the test statistic is more than the critical value. rev: 09 05 2013_QC 34262 References Difficulty: 1 Easy Learning Objective: 20-07 Determine whether two populations differ under matched-pairs sampling with ordinal data. Worksheet ward: 16.00 points

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.5
Ha:   p   >   0.5
As we see, the hypothesized po =   0.5      
As it is given,          
          
po =    0.5      
          
Getting the standard error of po, spo,          
          
spo = sqrt[po (1 - po) / n] =    0.098058068      
          
Getting the t statistic,          
p^ =    0.77      

t = (p^ - po)/spo =    2.75 [answer, test statistic]
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As this is a    1   tailed test, then, getting the critical value, as

df = n - 1 = 25  
significance level =    0.01      

then

tcrit = 2.49 [answer]

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Comparing t > tcrit, we REJECT the null hypothesis. [OPTION D]