c. Report and interpret the P-value for the test statistic value.Enter the P-value.P-value =(Round to three decimal places as needed.)Interpret the P-value. Choose the correct answer below.A. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the alternative hypothesis istrue.B. The P-value is the probability of obtaining a sample with a mean of 40 or more hours, assuming the null hypothesis is true.C. The P-value is the probability of obtaining a sample with a mean as extreme as 45.2 hours or more extreme, assuming the nullhypothesis is true.D. The P-value is the probability of obtaining a sample with a mean of 45.2 hours or more, assuming the null hypothesis is true.d. Explain how to make a decision for the significance level of 0.01.A. Since the P-value is greater than α = 0.01, there is not enough evidence to reject the null hypothesis or to conclude that thepopulation mean work week for men is significantly greater than 40 hours.B. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the null hypothesis and to conclude that thepopulation mean work week for men is significantly different than 40 hours.C. Since the P-value is less than α = 0.01, there is sufficient evidence to reject the alternative hypothesis and to conclude that thepopulation mean work week for men does not equal 40 hours.D. Since the P-value is less than α = 0.01, there is sufficient evidence to accept the null hypothesis and to conclude that thepopulation mean work week for men is equal to 40 hours. 5. When 899 male workers were asked how many hours they worked in the previous week, the mean was 45.2 with a standard deviation of14.5. Does this suggest that the population mean work week for men is significantly different than 40 hours? Use theInference for a Population Mean web app² to complete parts a through d.a. Identify the relevant variable and parameter.First, identify the relevant variable. Choose the correct answer below.A. The number of hours worked in the previous week by all workersB. The maximum number of hours worked in a weekC. The number of hours worked in the previous week by male workersD. The proportion of male workers that worked more than 40 hours in the previous weekE. The population mean work week (in hours) for menNow identify the parameter for this situation. Choose the correct parameter below.A. The number of hours worked in the previous week by all workersB. The proportion of male workers that worked more than 40 hours in the previous weekC. The population mean work week (in hours) for menD. The maximum number of hours worked in a weekE. The number of hours worked in the previous week by male workersb. State the null and alternative hypotheses.Ho: μ(1)Ha:μ (2)(Type integers or decimals. Do not round.)

As per our guidelines we are supposed total answer only 3 sub-parts of any questions so i am solving first 3 subparts only please post the other part separately to get answer We have given thatMean(µ) = 40Sample size (n) = 899Sample mean (x̅) = 45.2Standard deviations (s) = 14.5a) From the given information we have to identify relevant variable and parameter The correct relevant variable is The number of hours worked in the previous week by male workers Option (c) is correct The correct parameter for this situation The population mean work week (in hours) for men Option (c) is correct b) The null and alternative hypothesis are H0 : µ = 40H1: µ ≠ 40 Test statistics is given ast = (x̅ - µ)/( s/√n) = (45.2 - 40)/(14.5/√899) t = 10.75 Now degree of freedom (df) = n -1 = 899 -1= 898 Now, using Excel command: =T.DIST.2T(ABS(10.75), 898) p-value can be found by p-value = 0.000Interpretation of p-value P-value is the probability of obtaining the mean to be 45.2 hours or more assuming the null hypothesis to be true Option (D) is correct