KA magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars.Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level ofx=0.05. Based on these results, can you expect to get higher quality by purchasing a more expensiveLCD television?Quality 76 74 71 70 69 68 65 62 62 60 59Cost 27 30 38 24 21 11 27 24 12 11 21Click the icon to view the critical values of Spearman's rank correlation coefficient.Determine the null and alternative hypotheses for this test. Choose the correct answer below.OA. Ho: s=0OB. Ho: rs #0H₁: r₁=0H₁: rg #0OC. Ho: Ps #0H₁: P = 0Determine the correlation coefficient.r₂ = (Round to three decimal places as needed.)Determine the critical value(s) of the correlation coefficient.0(Round to three decimal places as needed. Use a comma to separate answers as needed.)Choose the correct answer belowOA. Fail to reject the null hypothesis. There is insufficient evidence to support a claim of a correlation betweenquality and price.OB. Fail to reject the null hypothesis. There is sufficient evidence to support a claim of a correlation betweenquality and price.of a correlation between qualityDSpearman's Rank Correlation Coefficient6789101112131415161718192021222324252627282930-1a/2-1₂Critical Values of Spearman's RankCorrelation Coefficient ra = 0.05a = 0.10900829714643600564536503484464446429414401391380370361353344337331324317312306886786.738.700648618587560538521503485472460447435425a/2415406398390382375368362OD. Ho: P = 0H₁: Ps #0a = 0.02943893833.783745.7096786486266045825665505355205084964864764664574484404334251a 0.01929881833794755727.703679654635615600584570556544532521511501491483475467- Xof a correlation between qualityNext A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars.Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level ofx = 0.05. Based on these results, can you expect to get higher quality by purchasing a more expensiveLCD television?Quality 76 74 71 70 69 68 65 62 62 60 59Cost27 24 12 11 2127 30 38 24 21 11Click the icon to view the critical values of Spearman's rank correlation coefficient.Determine the null and alternative hypotheses for this test. Choose the correct answer below.OA. Ho: rs = 0OB. Ho: rs #0H₁: rs =0H₁: rs #0O C. Ho: Ps #0H₁: Ps=0Determine the correlation coefficient.'s(Round to three decimal places as needed.)Determine the critical value(s) of the correlation coefficient.D. Ho: Ps=0H₁: Ps #0(Round to three decimal places as needed. Use a comma to separate answers as needed.)Choose the correct answer below.O A. Fail to reject the null hypothesis. There is insufficient evidence to support a claim of a correlation betweenquality and price.B. Fail to reject the null hypothesis. There is sufficient evidence to support a claim of a correlation betweenquality and price.OC. Reject the null hypothesis. There is sufficient evidence to support a claim of a correlation between qualityand price.D. Reject the null hypothesis. There is insufficient evidence to support a claim of a correlation between qualityand price.

The null and alternative hypotheses for the test is as follows: H0: ρs= 0H1: ρs≠ 0 The correlation coefficient is calculated in Excel. Enter the data in Excel in cells A1: A11 and B1:B11. In cell A12, type the formula, =CORREL(A1:A11, B1:B11) and click enter. The correlation coefficient is 0.563.The degrees of freedom is, df = n-2=11-2=9. For a level of significance α = 0.05 and 9 degrees of freedom, the critical value is 0.602. The test statistic is calculated as follows: t = rn-21-r2 = (0.563)11-21-(0.563)2 = 2.044 Rejection rule: If t>tc, then reject the null hypothesis. Otherwise, fail to reject the null hypothesis. Conclusion: The test statistic value is greater than the critical value. Based on the rejection rule, reject the null hypothesis. There is sufficient evidence to support the claim of a correlation between quality and price.