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)  H0:p=0.05; Ha:p>0.05, which is a right-tailed test.   (b) Use Excel to test whether the true proportion of days with a tornado during peak season is greater than 5%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.

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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)  H0:p=0.05; Ha:p>0.05, which is a right-tailed test.

 

(b) Use Excel to test whether the true proportion of days with a tornado during peak season is greater than 5%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.

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