(e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78 . There is insufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78 . Subrnit Answer 11. [-/1 Points] DETAILS MY NOTES BBUNDERSTAT12HS \( 8.2,004 \). ASK YOUR TEACHER Consider a test for \( \mu \). If the \( P \)-value is such that you can reject \( H_{0} \)-at the \( 5 \% \) level of significance, can you always reject \( H_{0} \) at the \( 1 \% \) level of significance? Explain your answer. No. If the \( P \)-value lies above 0.01 you would reject at the \( 5 \% \) level of significance, but not at the \( 1 \% \) level. No. If the \( P \)-value lies above 0.05 you would reject at the \( 5 \% \) level of significance, but not at the \( 1 \% \) level. No. If the \( P \)-value lies between 0.01 and 0.05 you would reject at the \( 5 \% \) level of significance, but not at the \( 1 \% \) level. Yes. If \( \mathrm{H}_{0} \) is rejected at the \( 5 \% \) level it will always be rejected at the \( 1 \% \) level. Submit Answer 12. [1/8 Points] DETAILS MY NOTES BBUNDERSTAT12HS 8.4.013. PREVIOUS ANSWERS ASK YOUR TEACHER
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05) implies that you can also reject it at a 1% significance level (α = 0.01). This involves understanding the relationship between the p-value of a test statistic and the chosen level of significance. Show more…
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b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.10? Yes since the p-value is less than the significance level. No since the p-value is greater than the significance level. No since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? Yes since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. No since the p-value is less than the significance level. No since the p-value is greater than the significance level. d. Interpret the results at α = 0.05. We conclude that the population mean is less than 208. We cannot conclude that the population mean is less than 208. We conclude that the population proportion differs from 208. We conclude that the population proportion equals 208.
Sri K.
1A) Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with ? = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,19,14,19,15,16,21,22,21,14,20,20 Give the p-value and interpret the results. a) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = 0.0001; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. c) p = 0.0001; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. e) p = 0.0003; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. 1B) In a test of significance, assuming the null hypothesis is true, the probability of observing the test statistic extreme or more extreme than the observed test statistic (in the way of the alternative hypothesis) is a) the probability the null hypothesis is true. b) the probability the null hypothesis is false. c) the p-value. d) the level of significance ?. e) None of the above
Cheng Z.
Please provide the following information for Problems $11-22$. (a) What is the level of significance? State the null and alternate hypotheses. (b) Check Requirements What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the appropriate sampling distribution value of the sample test statistic. (c) Find (or estimate) the $P$ -value. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha ?$ (e) Interpret your conclusion in the context of the application. Note: For degrees of freedom $d . f .$ not given in the Student's $t$ table, use the closest $d . f .$ that is smaller. In some situations, this choice of $d . f .$ may increase the $P$ -value by a small amount and therefore produce a slightly more "conservative" answer. Medical: Red Blood Cell Count Let $x$ be a random variable that represents red blood cell (RBC) count in millions of cells per cubic millimeter of whole blood. Then $x$ has a distribution that is approximately normal. For the population of healthy female adults, the mean of the $x$ distribution is about 4.8 (based on information from Diagnostic Tests with Nursing Implications, Springhouse Corporation). Suppose that a female patient has taken six laboratory blood tests over the past several months and that the $\mathrm{RBC}$ count data sent to the patient's doctor are $\begin{array}{llllll}4.9 & 4.2 & 4.5 & 4.1 & 4.4 & 4.3\end{array}$ i. Use a calculator with sample mean and sample standard deviation keys to verify that $\bar{x}=4.40$ and $s \approx 0.28$. ii. Do the given data indicate that the population mean $\mathrm{RBC}$ count for this patient is lower than $4.8$ ? Use $\alpha=0.05$.
Hypothesis Testing
Testing the Mean $\mu$
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