Holding the level of confidence and sample proportion constant, doubling the sam

Question

Holding the level of confidence and sample proportion constant, doubling the sample size cuts the margin of error in a one- sample proportion confidence interval in half. True False Holding the sample size constant, the standard error in a one-sample proportion confidence interval is maximized when the sample proportion equals 0.50 True False Match each scenario with the appropriate inferential technique We want to determine if the average amount ofA Z-Test money that the average American household spends pB on housing each year is greater than $15,000. TheOe-Sample Proportion Test population standard deviation is known to be $3,000. c. t-Test We want ot determine if then average pulse rate in D. Goodness of Fit Test college males is greater than 70. We use the sample standard deviations because the population standard deviation is unknown -We want to determine if the proportion of female babies born at a hospital is greater than half. We want to determine if the proportion of small, medium, large, and extra large t-shirts sold at a retail store are all the same

Explanation / Answer

1 )false ; we need to make sample size 4 times ; as margin of error is inversely proportional to square root of sample size.

2)true as std error is proportional to p(1-p) whcih is maximum when p=0.5

matching problem"

1) z test (as population std deviaiton is known)

2)t-test (as population std deviaiton is unknown)

3)one sample proportion test

4)goodness of fit test

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