Question

In: Statistics and Probability

Mendelian Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted...

Mendelian Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas.

(a) Construct the following confidence interval estimates of the percentage of yellow peas. 99.5% confidence interval: 99% confidence interval: 98% confidence interval: 95% confidence interval: 90% confidence interval:

(b) After examining the pattern of the above confidence intervals, complete the following statement. ”As the degree of confidence decreases, the confidence interval...”

(c) In your own words, explain why the preceding completed statement makes sense. That is, why should the confidence intervals behave as you have described?

Solutions

Expert Solution

(b) As the degree of confidence decreases, the confidence interval is getting narrower

(c) As we decrease the level of confidence the margin of error also get decrease, and hence the width of the confidence interval get decreases


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