a. What are the null and alternative​ hypotheses? A. H0: p=0.27      H1: p>0.27   B.H0: p≠0.27    H1: p=0.27   C. H0: p≠0.27     H1: p>0.27   D.H0: p=0.27    H1: p≠0.27   E.H0: p=0.27    H1: p<0.27   F. H0: p≠0.27     H1: p<0.27     b.What is the test​ statistic? z=______ (Round to two decimal places as​ needed.)   c. What is the​ P-value? ​P-value=______ (Round to four decimal places as needed.)     d .What is the conclusion about the null​ hypothesis?

In a factory producing electronic components, the quality control team randomly inspects a sample of 500 products out of a production batch of 10,000. If historical data shows a defect rate of 2%, what is the probability of finding at least 10 defective components in the sample, considering the variability of the defect rate and assuming a binomial distribution for the number of defects observed?

A generic experiment involving peas yeilded one sample of offspring consisting of 433 green peas and 152 yellow peas.  Use a 0.05 siginificance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow.  Identify the null hypothesis, alternative hypothesis, test statistic, P-Value, conclusion about the null hypothesis, and final conclusion that addresses the orginal claim.  Use the P-Value method and the normal distribution as an approximation to the binominial distribution.

A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? O A. Ho: p0.27 H₁: p 0.27 What is the test statistic? Z= (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Reject…