In testing statistical hypotheses, which of the following statements is false?     The critical region is the small region in the tail of the curve.     The alpha is the probability of a Type I error.     The p-value measures the probability that the null hypothesis is false.     In testing H0: μ = μ0, HA: μ ≠ μ0, the critical region is two sided

A researcher develops a new exercise regimen for influencing muscle strength. The researcher knows that scores on a well-validated measure of muscle strength are normally distributed with µ = 15 and σ = 4. The researcher administers their new exercise regimen to a sample of n = 64 adults who subsequently score M = 16.5 on the measure of muscle strength. Which conclusion can the researcher make based on the results of this research study?     a. The new exercise regimen has an effect on muscle strength because the computed z-score reaches the z = ±1.96 threshold.   b. The new exercise regimen has an effect on muscle strength because the computed z-score does not reach the z = ±1.96 threshold.   c. The new exercise regimen does not have an effect on muscle strength because the computed z-score reaches the z = ±1.96 threshold.   d. The new exercise regimen does not have an effect on muscle strength because the computed z-score does not reach the z = ±1.96 threshold.

Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.

A statistical analysis is internally valid if: O A. all t-statistics are greater than |1.96|. O B. the population is small, say less than 2,000, and can be observed. OC. the regression R² > 0.05. O D. the statistical inferences about causal effects are valid for the population studied.

You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places. Category ObservedFrequency ExpectedFrequency (obs-exp)^2/exp A 15     B 19     C 23     D 18     E 5     What is the chi-square test-statistic for this data?χ2=At the alpha = 0.05 level, what is the conclusion for this test? Fail to reject the null hypothesis Reject the null hypothesis Report all answers accurate to three decimal places.

An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI. The following table represents the results of individuals enrolled. Assume normal approximation is acceptable. (α=1)   Pt Pre test BMI Post test BMI a 30.5 36.5 b 32.8 28.3 c 35.6 28.2 d 34.7 27.9 e 30.1 28.5 1. Write out your null alternative hypotheses H0:µd=, Ha: µd≠  2. Calculate a t stat  3. What is the t-crit=±? 4. P-value = 5. do you reject or fail to reject null hypthosis? 6. Construct a 99% confidence interval and provide an interpretation. Does your interval further support your decision in the hypothesis test above

We have specified the “tailedness” of a hypothesis test for a population mean with null hypothesis H0: μ = μ0. a. draw the ideal power curve. b. explain what your curve in part (a) portrays. left-tailed

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.       H0:   Ha:

Use a t-test to test the claim about the population mean p at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ2 8300; a = 0.05 Sample statistics: x= 8000, s= 450, n = 24 What are the null and alternative hypotheses? O B. H,: µ= 8300 H u+8300 O A. H,: µ# 8300 H u= 8300 OC. H.: µs8300 H: u> 8300 O D. H,: µ2 8300 H µ<8300 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the P-value? P=(Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Reject Ho. At the 5% level of significance, there is not enough evidence to reject the claim. O B. Reject Ho. At the 5% level of significance, there is enough evidence to reject the claim. O C. Fail to reject Ho. At the 5% level of significance, there is enough evidence to reject the claim. O D. Fail to…