What effect does increasing the sample size have on the probability? Provide an explanation for this result. A. Increasing the sample size decreases the probability because σx increases as n increases. B. Increasing the sample size increases the probability because σx increases as n increases. C. Increasing the sample size decreases the probability because σx decreases as n increases. D. Increasing the sample size increases the probability because σx decreases as n increases.

Question

Mathematics

Mini

1 December, 09:07

What effect does increasing the sample size have on the probability? Provide an explanation for this result. A. Increasing the sample size decreases the probability because σx increases as n increases. B. Increasing the sample size increases the probability because σx increases as n increases. C. Increasing the sample size decreases the probability because σx decreases as n increases. D. Increasing the sample size increases the probability because σx decreases as n increases.

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Chaya Rodgers · Answer 1

Step-by-step explanation:

In Statistitics whenever we test a hypothesis for testing a statistic, we use confidence interval.

Confidence interval is on either side of an assumed value a margin of error

Margin of error is calculated as critical value * sigma/sqrt of n

Thus we find that whenever n increases, margin of error decreases, thus making confidence interval narrower and thus making probability for accepting null hypothesis a less value.

Thus we find that option C is right.

C. Increasing the sample size decreases the probability because σx decreases as n increases.