For one binomial experiment,  n1 = 75  binomial trials produced  r1 = 45  successes. For a second independent binomial experiment,  n2 = 100  binomial trials produced  r2 = 65  successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. Compute the pooled probability of success for the two experiments Compute p̂1 − p̂2. Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) Find the P-value of the sample test statistic

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A: Given,n=200x=65p^=xnp^=65200=0.325α=0.01H0:P=0.25H1:P>0.25

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A:

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A: GivenMean(x)=63.4standard deviation(s)=15.1sample size(n)=25α=0.025

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A: Givensample size(n1)=22sample size(n2)=19

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A: Answer is given in the steps below. Thanks!

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A:

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A:

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A:

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A: Given that  Sample size n =300 Favorable cases x =223 Sample proportion p^=x/n  =223/300 =0.7433

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A:

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A: Formula :

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.