i researcher claims that AT LEAST 10% of all football helmets have manufacturing fla- that could potentially cause injury to the wearer. A sample of 200 helmets revealed that 16 helme contained such defects. Does this finding support the researcher's claim? Use a = 0.01. Họ: Hị: Define critical (rejection) region(s):

An accountant is studying how much American families donate each year to charity. The accountant states the average yearly amount donated to charity by American families is different than 5.5 thousand dollars. If we would like to test the accountant's claim with a hypothesis test using a significance level of α=0.01 , what is the rejection region? Use the graph below to show the rejection region. First, move the blue dot to choose the appropriate test (left-, right, or two- tailed). Then, slide the shaded region(s) to represent the rejection region.

Find the critical​ value(s) and rejection​ region(s) for a​ left-tailed chi-square test with a sample size n=22 and level of significance α=0.05. LOADING... Click the icon to view the​ Chi-Square Distribution Table.       Find the critical​ value(s).   enter your response here ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)   Find the Rejection Region(s).

Find the z-score that defines α=0 .05 and α=.01 critical regions for a one-tail test?    8. Find the z-score that defines α=0 .05 and α=.01 critical regions for a two-tail test?

Define the critical region for a hypothesis test, and explain how the critical region is related to the alpha level.

The Board of Transportation and Safety (BTS) wants to examine the safety mechanisms of A, B, and C-class cars. Samples of 10 cars for each class were used. The board members collect the pressure exerted overall on the driver’s body during an impact test. Assume alpha of 0.05. What is dfbetween = ? What is dfwithin = ? What is the critical test statistic: ? A B C 27         21 48 13  23 39 11 10 22 15 27 30 34 34 31  n(A) = 5         n(B) = 5       n(B) = 5  T(A)=100       T(B)=115     T(C)=170 SS(A)=86       SS(B)=135   SS(C)=151 What is the MSbetween=? What is the MSwithin=? What is the calculated test statistic? Given the values of your critical test statistic and calculated test statistic, do you reject the null?

2. Consider Ho: H1 H2 H3 = Hμ44= μs a. Complete the ANOVA table. Source of Variation Between - column Within-column Total Solutions: Sum of Squares 118 140 df b. Using 1% level of significance, would you reject Ho? Mean Sum of Squares 15.56 F-value Critical Value / Tabular Value Decision