A weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month.You work for a medical association and are asked to test this claim. A random sample of 30 program participants andtheir weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation4. At α = 0.03, do you have enough evidence to reject the program's claim? Complete parts (a) through (e).5.15.26.56.97.28.79.29.49.59.711.1 11.2 11.6 11.6 11.9(a) Identify Ho and H₂. Choose the correct answer below.O A. Ho: μ ≥ 12H₂: <12O C. Ho: μ≤ 12Ha: µ>127.37.49.710.112.4 12.5O E. Ho: μ< 12Η: με 128.28.410.3 10.612.6 13.3OB. Ho: μ> 12H₂:μ≤ 12O D. Ho: μ#12H₂:μ = 12OF. Ho: H=12H₂:μ#128.510.615.2

The claim by the program is that the average weight loss of the participants is at least 12 pounds. For this 30 randomly sampled participants were considered.The objective is to determine the appropriate hypotheses for the claim. Considering the characetristics of the participant's weight loss is quantified in terms of the average (or mean) value at the population level, the parameter, μ is the true average weight loss of the program participants.Moreover, under the null hypothesis, an indifference between the parameter (i.e., μ, in this case) and a claimed value (i.e., the claimed minimum weight loss of 12 pounds in this case) is hypothesized using the inequality symbols "=", "≤" or "≥".Thus it is set up that:H0:μ≥12; the true average weight loss of the program participants is hypothesized to be at least 12 pounds.Further, as the alternate hypothesis is complementary to H0, the difference between the parameter (i.e., μ, in this case) and a claimed value (i.e., the claimed minimum weight loss of 12 pounds in this case) is hypothesized using the inequality symbols of "=" or strict inequality symbols of ">" and "<". It is hypothesized under Ha as:Ha:μ<12; the true average weight loss of the program participants is hypothesized to be less than 12 pounds.The hypothesis are as follows: H0:μ≥12 versus H1:μ<12. Option (A) is correct.