I need help with all parts of this question 9 (b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use μ₁ for the population mean for Alex Smith and μ for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (M₁M₂) #0 versus H₂: (μ₁ −μ₂) = 0O Ho: (M₁M₂) = 0 versus H₂: (M₁-H₂) = 0O H₁: (M₁ M₂) = 0 versus H₂: (μ₁ −µ₂) 0O Ho: (M₁M₂) = 0 versus H₂: (M₁ - H₂)

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I need help with all parts of this question 9 (b) Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using a = 0.05. (Use μ₁ for the population mean for Alex Smith and μ for the population mean for Joe Flacco.)State the null and alternative hypotheses.O Ho: (M₁M₂) #0 versus H₂: (μ₁ −μ₂) = 0O Ho: (M₁M₂) = 0 versus H₂: (M₁-H₂) = 0O H₁: (M₁ M₂) = 0 versus H₂: (μ₁ −µ₂) >0O Ho: (M₁M₂) = 0 versus H₂: (M₁ - H₂) < 0O Ho: (M₁M₂) < 0 versus Ha: (M₁ - H₂) > OState the test statistic. (Round your answer to three decimal places.)t =State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)State the conclusion.O Ho is rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O Ho is rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O Ho is not rejected. There is sufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.O Ho is not rejected. There is insufficient evidence to indicate that the average number of completed passes is different for Alex Smith and Joe Flacco.(c) What is the p-value for the test? (Round your answer to three decimal places.)p-value =(d) Use the information provided along with the pooled variance, s² = 39.4115 to construct a 95% confidence interval for the difference in the average number of completed passes for the two quarterbacks. (Round your answers to three decimal places.)passes topassesDoes the confidence interval confirm your conclusion in part (b)? Explain.O Yes, since (μ₁ −μ₂) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (μ₁ - ₂) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means.O No, since (μ₁ −μ₂) = 0 is in the interval, there is sufficient evidence to indicate that there is a difference in the means.O Yes, since (μ₁ −μ₂) = 0 is in the interval, there is insufficient evidence to indicate that there is a difference in the means.O No, since (μ₁ −μ₂) = 0 is not in the interval, there is sufficient evidence to indicate that there is a difference in the means. How does Alex Smith, quarterback for the Kansas City Chiefs, compare to Joe Flacco, quarterback for the Baltimore Ravens? The following table shows the number of completed passes for each athlete during the 2017 NFL football season.tAlex Smith25 27 2923 25 2723Joe Flacco1925 2220 14 16 26 10 82819 25 21 20 27 2529 34 311923 24 9202-SampTTestH₁ H₂#t = 0.3250234901p= 0.7474965338df = 29x1 = 22.73333333x2 = 22Sx1 = 4.463609473Sx2= 7.589466384(a) The TI-84 Plus analysis uses the pooled estimate of o2. Is the assumption of equal variances reasonable? Why or why not?O Yes, because the ratio of the larger variance to smaller variance is less than 3.O Yes, because the ratio of the larger variance to smaller variance is more than 3.No, because the ratio of the larger variance to smaller variance is not equal to 1.O No, because the ratio of the larger variance to smaller variance is less than 3.O No, because the ratio of the larger variance to smaller variance is more than 3.

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