a meteorologist is concerned about the number of tornadoes in her county. using data from the past 10 years, she randomly selected 250 days from the peak season and found that a tornado was reported on 22 of these days. she conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of days with a tornado during peak season is greater than 5%. (a) which answer choice shows the correct null and alternative hypotheses for this test?

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15-12-2022
Mathematics

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a meteorologist is concerned about the number of tornadoes in her county. using data from the past 10 years, she randomly selected 250 days from the peak season and found that a tornado was reported on 22 of these days. she conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of days with a tornado during peak season is greater than 5%. (a) which answer choice shows the correct null and alternative hypotheses for this test?

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-25T14:44:07+01:00

The correct null and alternative hypotheses for this test are:

H0: p = 0.05 (The true proportion of days with a tornado during peak season is equal to 5%)

Ha: p > 0.05 (The true proportion of days with a tornado during peak season is greater than 5%)

Where p is the true proportion of days with a tornado during peak season. The meteorologist is trying to determine whether the true proportion of days with a tornado is significantly different from the hypothesized value of 5%, and specifically whether it is higher. Therefore, the alternative hypothesis includes the greater than symbol (>).

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