Question Help The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. X2 X3 X1 31 41 49 Y1 |(33.80)(43.26(43.94) 19 23 16 Y2 |(16.20)(20.74) (21.06) (a) Compute the value of the chi-square test statistic. x - (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a =0.01 level of significance. OA. Ho: The Y category and X category have equal proportions. H: The proportions are not equal. B. Ho: The Y category and X category are independent. Hi: The Y category and X category are dependent. OC.H = E, and u, E Click to select your answer(s). Question Help The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. X X2 X3 31 41 49 Y1 |(33.80)(43.26)(43.94 19 23 16 Y2 (16.20) (20.74)(21.06 What is the P-value? P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a 0.01 level of significance to conclude that X and Y are dependent because the P-value>a B. No, do not reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value < . C. Yes, reject Ho There is not sufficient evidence at the a 0.01 level of significance to conclude that X and Y are dependent because the P-value < . O D. No, do not reject H There is not sufficient evidence at the a 0.01 level of significance to conclude that X and Y are dependent because the P-value > a. Click to select your answer(s).

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.