HW06-FS20: Problem 6 Problem Value: 7 point(s). Problem Score: 0%. Attempts Remaining: 4 attempts. (7 points) John is a physician who is interested in learning to what extent running affects heart rate in 18-25 year-olds. He believes that only a minority (less than 50%) of 18-25 year-olds will experience a heart rate of at least 120 beats per minute (bpm) after running a mile. John gets a random sample of 197 people aged from 18-25 to run a mile and records their heart rate. He finds that 85 have a heart rate of at least 120 bpm. 1) What is the null hypothesis and alternative hypothesis? 2) What is the test statistic for this hypothesis test? Give your answer to 4 decimal places. 3) Calculate the p-value. Enter your answer to 4 decimal places. 4) Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. A. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution. B. The p-value is the probability that the null hypothesis is true. C. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true. D. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true. E. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data. F. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data.
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The null hypothesis is that the proportion of 18-25 year-olds with a heart rate of at least 120 bpm after running is greater than or equal to 50%. The alternative hypothesis is that the proportion is less than 50%. Null hypothesis (H0): p >= 0.5 Alternative Show more…
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(7 points) John is a physician who is interested in learning to what extent running affects heart rate in 18-25 year-olds. He believes that only a minority (less than 50%) of 18-25 year-olds will experience a heart rate of at least 120 beats per minute (bpm) after running a mile. John gets a random sample of 197 people aged from 18-25 to run a mile and records their heart rate. He finds that 81 have a heart rate of at least 120 bpm. 1) What is the null hypothesis and alternative hypothesis? H0 : p HA : p 2) What is the test statistic for this hypothesis test? Give your answer to 4 decimal places. 3) Calculate the p-value. Enter your answer to 4 decimal places. 4) Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. A. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true. B. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true. C. This p-value suggests that based on this sample there is little evidence that the null model is not compatible with the data. D. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution. E. This p-value suggests that based on this sample there is very strong evidence that the null model is not compatible with the data. F. The p-value is the probability that the null hypothesis is true.
Adi S.
Using the results obtained for a study on pulse rate, how would we interpret the results if the significance level was 10%? The claim is that the percentage of adults who have a heart rate of at most 65 beats per minute is less than 59%. Sample size = 65 adults Sample proportion = 0.49 The test statistic is calculated as z0 = -1.64 Use the table or curve below to help you find the answer. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.1 0.018 0.017 0.017 0.017 0.016 0.016 0.015 0.015 0.015 0.014 -2.0 0.023 0.022 0.022 0.021 0.021 0.020 0.020 0.019 0.019 0.018 -1.9 0.029 0.028 0.027 0.027 0.026 0.026 0.025 0.024 0.024 0.023 -1.8 0.036 0.035 0.034 0.034 0.033 0.032 0.031 0.031 0.030 0.029 -1.7 0.045 0.044 0.043 0.042 0.041 0.040 0.039 0.038 0.038 0.037 -1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046 Select the correct answer below: Fail to reject H0. There is NOT strong evidence to conclude that the percentage of adults who have a heart rate of at most 65 beats per minute is less than 59%. Fail to reject H0. There is strong evidence to conclude that the percentage of adults who have a heart rate of at most 65 beats per minute is less than 59%. Reject H0. There is NOT strong evidence to conclude that the percentage of adults who have a heart rate of at most 65 beats per minute is less than 59%. Reject H0. There is strong evidence to conclude that the percentage of adults who have a heart rate of at most 65 beats per minute is less than 59%.
Ajiboye T.
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