A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H,: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) 10; and the sample size n is less than 5% of the population size, we may use the normal model to test the hypothesis. The P-value is (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect of them to result in a sample proportion as extreme or more extreme than if the population proportion of F0 tornadoes was (Type integers or decimals rounded to three decimal places as needed.) Because the P-value V less than the level of significance we V reject the statement in the null hypothesis. There V sufficient evidence to conclude the proportion of tornadoes in the state of Texas is (Type an integer or decimal. Do not round.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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A variety of variables were measured for all tornadoes in the United States in 2017.
(a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all
tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017.
State the null and alternative hypotheses.
Họ:
H1:
(Type integers or decimals. Do not round.)
Because the data is treated as a simple random sample; npo(1- Po)
V10: and the sample size n is less than 5% of the population size, we may
the normal model to test the hypothesis.
The P-value is.
(Type integers or decimals rounded to four decimal places as needed.)
If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect
(Type integers or decimals rounded to three decimal places as needed.)
of them to result in a sample proportion as extreme or more extreme than
if the population proportion of F0 tornadoes was
Because the P-value
V less than the level of significance we
V reject the statement in the null hypothesis. There
V sufficient evidence to conclude the proportion of tornadoes in the state of Texas is
(Type an integer or decimal. Do not round.)
Transcribed Image Text:A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) V10: and the sample size n is less than 5% of the population size, we may the normal model to test the hypothesis. The P-value is. (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect (Type integers or decimals rounded to three decimal places as needed.) of them to result in a sample proportion as extreme or more extreme than if the population proportion of F0 tornadoes was Because the P-value V less than the level of significance we V reject the statement in the null hypothesis. There V sufficient evidence to conclude the proportion of tornadoes in the state of Texas is (Type an integer or decimal. Do not round.)
A variety of variables were measured for all tornadoes in the United States in 2017.
(b) Test whether a lower proportion of F0 tornadoes occur in Georgia than nationally. The summarized data show that 43 of 118 tornadoes in Georgia were F0 during 2017.
State the null and alternative hypotheses.
Họ:
H,:
(Type integers or decimals. Do not round.)
Because the data is treated as a simple random sample; npo(1- Po) =
V10; and the sample size n is less than 5% of the population size, we may use the normal model to test the hypothesis.
Choose the correct P-value below.
O A. >0.1
O B. 0.1> P-value > 0.05
C. 0.05 > P-value > 0.01
O D. 0.01 > P-value > 0.001
O E. <0.001
Because the P-value
V less than the level of significance we
reject the statement in the null hypothesis. There
V sufficient evidence to conclude the proportion of tornadoes in the state of Georgia is
(Type an integer or a decimal. Do not round.)
(c) Estimate the proportion of F0 tornadoes that occur in Georgia with 95% confidence. Interpret the result.
We are 95% confident the proportion of F0 tornadoes that occur in Georgia is between
and
(Type integers or decimals rounded to three decimal places as needed.)
Transcribed Image Text:A variety of variables were measured for all tornadoes in the United States in 2017. (b) Test whether a lower proportion of F0 tornadoes occur in Georgia than nationally. The summarized data show that 43 of 118 tornadoes in Georgia were F0 during 2017. State the null and alternative hypotheses. Họ: H,: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) = V10; and the sample size n is less than 5% of the population size, we may use the normal model to test the hypothesis. Choose the correct P-value below. O A. >0.1 O B. 0.1> P-value > 0.05 C. 0.05 > P-value > 0.01 O D. 0.01 > P-value > 0.001 O E. <0.001 Because the P-value V less than the level of significance we reject the statement in the null hypothesis. There V sufficient evidence to conclude the proportion of tornadoes in the state of Georgia is (Type an integer or a decimal. Do not round.) (c) Estimate the proportion of F0 tornadoes that occur in Georgia with 95% confidence. Interpret the result. We are 95% confident the proportion of F0 tornadoes that occur in Georgia is between and (Type integers or decimals rounded to three decimal places as needed.)
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