Question

In: Statistics and Probability

Based on a sample of 150 items, in which 45 items exhibited the trait deemed to...

Based on a sample of 150 items, in which 45 items exhibited the trait deemed to be a success, when constructing a 90% confidence interval...

a) ...what is the low-end value of the confidence interval? (ANSWER AS A PERCENT TO 2 DECIMALS)

b) ...what is the high-end value of the confidence interval? (ANSWER AS A PERCENT TO 2 DECIMALS)

c) ...is it reasonable to assume the population proportion is 36%? (Y or N)

Solutions

Expert Solution

Here it is given that based on a sample of 150 items, in which 45 items exhibited the trait deemed to be a success

So

For 90% CI, z value is 1.645 as P(-1.645<z<1.645)=0.90

Now we will find Margin of Error

a. Hence low-end value of the confidence interval is .

b. Here high-end value of the confidence interval

c. As 0.36 is in the range of CI. Answer is Yes, it is reasonable to assume the population proportion is 36%

orchestra answered 2 years ago
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