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Consider the following hypothesis test: HO: p = 0.35 Ha: p > 0.35 From a random sample of n = 100 observational units, the observed sample proportion is 0.27 (p * = 0.27) Based on the information provided, calculate the simulated p-value. Using the simulated p-value, evaluate the claims. a) Not enough evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha. b) Strong evidence against the null hypothesis HO and in support of the alternative hypothesis Ha c) Very strong evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha d) Some evidence against the null hypothesis HO and in support of the alternative hypothesis Ha - This is the table to determine the answer if the p-value is: Strength of Evidence In Support of Ha- Above 0.10 (p-value > 0.10) Not enough evidence against H0 and in support of Ha - Between 0.05 and 0.10 (0.05 < p- value = < 0.10) Some evidence against H 0 and in support of Ha- Between 0.01 and 0.05 (0.01 < p-value = < 0.05) Strong evidence against H0 and in support of Ha- Less than 0.01 (p-value =< 0.01) Very strong evidence against H 0 and in support of HaSimulated Sampling Distribution of hat(p) (from 150 random samples of size n = 100)

Consider the following hypothesis test: HO: p = 0.35 Ha: p > 0.35 From a random sample of n = 100 observational units, the observed sample proportion is 0.27 (p * = 0.27) Based on the information provided, calculate the simulated p-value. Using the simulated p-value, evaluate the claims. a) Not enough evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha. b) Strong evidence against the null hypothesis HO and in support of the alternative hypothesis Ha c) Very strong evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha d) Some evidence against the null hypothesis HO and in support of the alternative hypothesis Ha - This is the table to determine the answer if the p-value is: Strength of Evidence In Support of Ha- Above 0.10 (p-value > 0.10) Not enough evidence against H0 and in support of Ha - Between 0.05 and 0.10 (0.05 < p- value = < 0.10) Some evidence against H 0 and in support of Ha- Between 0.01 and 0.05 (0.01 < p-value = < 0.05) Strong evidence against H0 and in support of Ha- Less than 0.01 (p-value =< 0.01) Very strong evidence against H 0 and in support of HaSimulated Sampling Distribution of hat(p) (from 150 random samples of size n = 100)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Consider the following hypothesis test: H0: p = 0.35 Ha: p > 0.35 From a random sample of n = 100 observational units, the observed sample proportion is 0.27 (p ^ = 0.27) Based on the information provided, calculate the simulated p-value. Using the simulated p-value, evaluate the claims. a) Not enough evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha. b) Strong evidence against the null hypothesis HO and in support of the alternative hypothesis Ha c) Very strong evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha d) Some evidence against the null hypothesis HO and in support of the alternative hypothesis Ha - This is the table to determine the answer If the p-value is: Strength of Evidence In Support of Ha- Above 0.10 (p-value > 0.10) Not enough evidence against H0 and in support of Ha - Between 0.05 and 0.10 (0.05 < p- value = < 0.10) Some evidence against H 0 and in support of Ha- Between 0.01 and 0.05 (0.01 < p-value = < 0.05) Strong evidence against H0 and in support of Ha - Less than 0.01 (p-value = < 0.01) Very strong evidence against H 0 and in support of HaSimulated Sampling Distribution of hat(p) (from 150 random samples of size n = 100)
Transcribed Image Text:Consider the following hypothesis test: H0: p = 0.35 Ha: p > 0.35 From a random sample of n = 100 observational units, the observed sample proportion is 0.27 (p ^ = 0.27) Based on the information provided, calculate the simulated p-value. Using the simulated p-value, evaluate the claims. a) Not enough evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha. b) Strong evidence against the null hypothesis HO and in support of the alternative hypothesis Ha c) Very strong evidence against the null hypothesis H0 and in support of the alternative hypothesis Ha d) Some evidence against the null hypothesis HO and in support of the alternative hypothesis Ha - This is the table to determine the answer If the p-value is: Strength of Evidence In Support of Ha- Above 0.10 (p-value > 0.10) Not enough evidence against H0 and in support of Ha - Between 0.05 and 0.10 (0.05 < p- value = < 0.10) Some evidence against H 0 and in support of Ha- Between 0.01 and 0.05 (0.01 < p-value = < 0.05) Strong evidence against H0 and in support of Ha - Less than 0.01 (p-value = < 0.01) Very strong evidence against H 0 and in support of HaSimulated Sampling Distribution of hat(p) (from 150 random samples of size n = 100)
Simulated Sampling Distribution of p (from 150 random samples of size n = 100) DOC 0.10 0.15 0.20 0.25 0.30 OO 0000 ooo 300 0000 0.35 0.40 0.45 0 O 0.50 0.55 0.60
Transcribed Image Text:Simulated Sampling Distribution of p (from 150 random samples of size n = 100) DOC 0.10 0.15 0.20 0.25 0.30 OO 0000 ooo 300 0000 0.35 0.40 0.45 0 O 0.50 0.55 0.60
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