MATH 16 Cuyamaca College Hypothesis Testing Problems These problems relate to Hypothesis Testing and Testing a claim about a proportion. Solve these proble

MATH 16 Cuyamaca College Hypothesis Testing Problems These problems relate to Hypothesis Testing and Testing a claim about a proportion. Solve these problems that are attached in the file. Claim: The mean pulse rate (in beats per minute) of adult males is equal to 68.8 bpm. For a random sample of 139 adult males, the mean pulse rate is 69.6 bpm and
the standard deviation is 10.8 bpm. Complete parts (a) and (b) below.
a. Express the original claim in symbolic form.
bpm
(Type an integer or a decimal. Do not round.)
b. Identify the null and alternative hypotheses.
Ho:
bpm
Hii
bpm
(Type integers or decimals. Do not round.)
Enter your answer in each of the answer boxes.
Assume a significance level of a = 0.1 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 68 bpm. The hypothesis test results in a P-value of 0.0054.
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 a.
B. Fail to reject Ho because the P-value is less than or equal to a.
OC. Reject Ho because the P-value is greater than a.
D. Reject Ho because the P-value is less than or equal to a.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
O A. The mean pulse rate (in beats per minute) of the group of adult males is not 68 bpm.
B. 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 68 bpm.
O C. The mean pulse rate (in beats per minute) of the group of adult males is 68 bpm.
Click to select your answer.
Identify the type I error and the type Il error that corresponds to the given hypothesis.
The proportion of people who write with their left hand is equal to 0.32.
Which of the following is a type I error?
A. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
O C. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.
OD. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
Which of the following is a type II error?
A. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
B. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.
O C. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.
Click to select your answer.
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5917 patients treated with this drug, 166 developed the adverse
reaction of nausea. Use a 0.01 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho: p = 0.03
H :p>0.03
O B. Ho: p = 0.03
H1: p0.23
0 C. Ho:p+0.23
Hy: p = 0.23
0 D. Ho: p = 0.23
H : p
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