Consider a professional baseball position player who has played 82 games or more (which is more than half of the season) as a full time player. Teh American League's front office would like to consider whether the hitting quality has changed. Teh front office's claim will be tested by checking what percentage of these full time players batted over .300 in teh 2018 season and comparing that to the historic average of 0.074. A. State the null hypothesis and the alternative hypothesis. Is the MLB front office interested in a one tail or two tailed test (brief explanation)? B. Find the value of the test statistic and an associated P-value if the proportion of those who batted at least .300 in the 2018 season was 10 in 179 players batted at least .300. C. Does the test require the use of the Z table or the T table? Indicate why your choice was made. D. Is there evidence to support the claim at a significance level of 5%? Why or Why not?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Consider a professional baseball position player who has played 82 games or more (which is more than half of the season) as a full time player. Teh American League's front office would like to consider whether the hitting quality has changed. Teh front office's claim will be tested by checking what percentage of these full time players batted over .300 in teh 2018 season and comparing that to the historic average of 0.074.
A. State the null hypothesis and the alternative hypothesis. Is the MLB front office interested in a one tail or two tailed test (brief explanation)?
B. Find the value of the test statistic and an associated P-value if the proportion of those who batted at least .300 in the 2018 season was 10 in 179 players batted at least .300.
C. Does the test require the use of the Z table or the T table? Indicate why your choice was made.
D. Is there evidence to support the claim at a significance level of 5%? Why or Why not?
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