OphthalmologyA study compared mean electroretinogram (ERG) amplitude of patients with different genetic types ofretinitis pigmentosa (RP), a genetic eye disease that often results in blindness. The results shown in thetable were obtained for In(ERG amplitude) among patients 18-29 years of age. (Let population 1 bepatients with dominant RP and population 2 be patients with recessive RP. Use dominant - recessive.Use α = 0.05.)Comparison of meanIn(ERG amplitude) by genetic typeamong patients with RP4Genetic Type Mean ± sdDominantRecessiveX-linked0.84 ± 0.19n630.39 ± 0.22 34-0.1 ± 0.22 29You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer partsof this question.(a) What is the standard error of In(ERG amplitude) among patients with dominant RP? (Round youranswer to four decimal places.)0.0239How does it differ from the standard deviation in the table?O The standard error reflects the average percentage error for individual patients with dominantRP while the standard deviation represents the percentage error in the estimate of the meanIn(ERG amplitude) for dominant RP patients.DeresO The standard error reflects the percentage error in the estimate of the mean In(ERG amplitude)for dominant RP patients while the standard deviation represents the average percentage errorfor individual patients with dominant RP.O The standard error represents the between person variation for individual patients withdominant RP while the standard deviation reflects the error in the estimate of the meanIn(ERG amplitude) for dominant RP patients.The standard error reflects the error in the estimate of the mean In(ERG amplitude) fordominant RP patients while the standard deviation represents the between person variation forindividual patients with dominant RP. O The standard error and standard deviation are different names for the same quantity and areactually not different at all.(b) What test can be used to compare the variance of In(ERG amplitude) between patients with dominantvs. recessive RP?We can use a z test for the equality of two variances.O We can use a x² test for the equality of two variances.O We can use the extreme studentized deviate test for the equality of two variances.We can use a t test for the equality of two variances.We can use an F test for the equality of two variances.(c) Implement the test in (b), and report a p-value (two-tailed). (Use a = 0.05)State the null and alternative hypotheses. (Enter != for as needed.)HoiH₁: O20.₁=0₂822F= Sd²MANARAK WADERIA5d2What is the test statistic? (Round your answer to two decimal places.)0.750.19²0122.= 0.75liUse technology to find the p-value. (Round your answer to four decimal places.)p-value == 0,74586State your conclusion.O Reject Ho. We can conclude that there is a significant difference in the variance of theIn(ERG amplitude) of the dominant and recessive groups.Fail to reject Ho. We cannot conclude that there is a significant difference in the variance of theIn(ERG amplitude) of the dominant and recessive groups.O Fail to reject Ho. We can conclude that there is a significant difference in the variance of theIn(ERG amplitude) of the dominant and recessive groups.O Reject Ho. We cannot conclude that there is a significant difference in the variance of theIn(ERG amplitude) of the dominant and recessive groups.(d) What test can be used to compare the mean In(ERG amplitude) between patients with dominant vs.recessive RP?We can use a two-sample t for two independent samples with equal variances.

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Given that, a study compared mean electroretinogram (ERG) amplitude of patients with different…

0.75 Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.