In a survey of 155 senior executives 484 said that the most

In a survey of 155 senior executives. 48.4% said that the most common job interview mistake is to have little or no knowledge of the company. Test the claim that in the population of all senior executives. 40% say that the most common job interview mistake is to have little or no knowledge of the company. Identify the null hypothesis, alternative hypothesis. test statistic. P-value, conclusion about the null hypothesis. and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution, Identify the null and alternative hypotheses. Choose the correct answer below. The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.)

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.4
Ha:   p   >   0.4 [OPTION B]

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As we see, the hypothesized po =   0.4      
As it is given,          
          
po =    0.4      
          
Getting the standard error of po, spo,          
          
spo = sqrt[po (1 - po) / n] =    0.03934955      
          
Getting the z statistic,          
p^ =    0.484      

z = (p^ - po)/spo =    2.134713095   [ANSWER, ITEM 2]

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As this is a    2   tailed test, then, getting the p value,  
          
p =    0.032784453 [ANSWER, ITEM 3]