Hello im struggling to figure this question out. It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F98.6∘F. You collected data using 36 healthy people and found that they had a mean body temperature of 98.21∘F98.21∘F with a standard deviaiton of 1.18∘F1.18∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F. a) Identify the null and alternative hypotheses? H0H0: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥ H1H1: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F. There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F. The sample data support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F. There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Hello im struggling to figure this question out.
It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F98.6∘F. You collected data using 36 healthy people and found that they had a mean body temperature of 98.21∘F98.21∘F with a standard deviaiton of 1.18∘F1.18∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
a) Identify the null and alternative hypotheses?
H0H0: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥
H1H1: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
- left-tailed
- right-tailed
- two-tailed
c) Identify the appropriate significance level.
d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.
f) Do you reject the null hypothesis?
- We reject the null hypothesis, since the p-value is less than the significance level.
- We reject the null hypothesis, since the p-value is not less than the significance level.
- We fail to reject the null hypothesis, since the p-value is less than the significance level.
- We fail to reject the null hypothesis, since the p-value is not less than the significance level.
g) Select the statement below that best represents the conclusion that can be made.
- There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
- There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
- The sample data support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
- There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.
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