(1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials where the probability of success at each trial is 0.57; that is, Y - Bin(70, 0.57). Part a) Use the pbinom function in R to find P(35

The proportion of defective items is not allowed to be over 12%.  A buyer wants to test whether the proportion of defectives in his shipment of 1000 items exceeds the allowable limit.  The buyer takes a SRS of 100 items and finds that 19 are defective.   State the null and alternative hypotheses for this test. Group of answer choices Ho: p = 0.12 vs Ha: p > 0.12 Ho: p = 0.19 vs Ha: p ≠ 0.12 Ho: p = 0.12 vs Ha: p < 0.19 Ho: p = 0.12 vs Ha: p = 0.19

learning.suny.edu/d21/le/content/460881/viewContent/15362845/View esc ! You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho: PA= 0.4; PB = 0.3; pc = 0.15; pp = 0.15 Complete the table. Report all answers accurate to three decimal places. Category Observed Expected Frequency Frequency A B C D 40 28 ← 23 What is the chi-square test-statistin for this data? x² = 7 What is the P-Value? P-Value = 2 For significance level alpha 0.01, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis Report all answers accurate to three decimal places. Calculator 25 #3 $ 4 16. C Q Search securyBrowse % MacBook Pro 5 A - & 7 * 00 8

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For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous.  (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfish