1) Assume a significance level of ?-0.01 and use the given information to comple
ID: 3055055 • Letter: 1
Question
1) Assume a significance level of ?-0.01 and use the given information to complete parts (a) and (b) below Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 74 bpm. The hypothesis test results in a P-value of 0.0658 a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho Choose the correct answer below. o A. Fail to reject Ho because the P-value is greater than ?. O B. Reject Ho because the P-value is less than or equal to ?. C. Reject H0 because the P-value is greater than ex. O D. Fail to reject Ho because the P-value is less than or equal to or b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? OA. The mean pulse rate (in beats per minute) of the group of adult males is not 74 bpm. O B. The mean pulse rate (in beats per minute) of the group of adult males is 74 bpm ° C. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 74 bpm. C D. There is not sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult rnales is 74 bpm. 2) Trials in an experiment with a polygraph include 98 results that include 22 cases of wrong results and 76 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% o the time identify he null hypothesis, alternative hypothes , test statistic, value, conclusion about the null hypothes and final conclusion hat addresses he o ginal claim. Use the P value method. Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. O B. A Hp 0.20 H, p #0.20 O C. Ho:p:0.20 Hp0.20 OE. Ho:p:0.80 My p #0.80 Ho:p:0.80 OD. Ho:p 0.20 Hp>0.20 OF Hop 0.80 H p>0.80 The test statistic is | |. (Round to two decimal places as needed.) The Pvalue is -(Round to four decimal places as needed) Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. | Ho. There | ? | sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.Explanation / Answer
Solution:-
1) a) (A) Fail to reject H0, because the p-value is greater than alpha.
b) (B) The mean pulse rate of the group of adults males is 74 bpm.
2)
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P > 0.80
Alternative hypothesis: P < 0.80
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected only if the sample proportion is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation (S.D) and compute the z-score test statistic (z).
S.D = sqrt[ P * ( 1 - P ) / n ]
S.D = 0.0404061
z = (p - P) / ?
z = - 0.61
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a one-tailed test, the P-value is the probability that the z-score is less than - 0.61
Thus, the P-value = 0.2709
Interpret results. Since the P-value (0.2709) is greater than the significance level (0.05), we have to accept the null hypothesis.
Do not reject H0, There is not sufficient evidence in the favor of the claim that polygraph results are correct less than 80% of the time.
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