ou wish to test the following claim (H1H1) at a significance level of α=0.001       Ho:p1=p2       H1:p1≠p2 You obtain 187 successes in a sample of size n1=236n1=236 from the first population. You obtain 283 successes in a sample of size n2=317n2=317 from the second population. What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = ±± What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data support the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion

Assume a significance level of α=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 70 bpm. The hypothesis test results in a​ P-value of 0.0025. a. State a conclusion about the null hypothesis.​ (Reject H0 or fail to reject H0​.) Choose the correct answer below.     A. Fail to reject H0 because the​ P-value is less than or equal to α.   B. Reject H0 because the​ P-value is less than or equal to α.   C. Reject H0 because the​ P-value is greater than α.   D. Fail to reject H0 because the​ P-value is greater than α. b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?     A. The mean pulse rate​ (in beats per​ minute) of the group of adult males is 70 bpm.   B. There is sufficient evidence to warrant rejection of the claim that the…

State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.

16% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 398 people from the inner city surveyed, 52 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? For this study, we should use    Z TEST FOR A POPULATION PROPORTION The null and alternative hypotheses would be:     Ho: P=0.15            (please enter a decimal)    H1: P <0.1 3. The test statistic _z__ = _______  (please show your answer to 3 decimal places.) 4. The p-value = __0.0144__ (Please show your answer to 4 decimal places.) 5. The p-value is  __<__α 6. Based on this, we should  ___FAIL TO REJECT___    the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is…

If, in a sample of n = 25 selected from a normal population, X= 60 and S= 10, what is your statistical decision if the level of significance, a, is 0.01, the nullI hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50? Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. -... Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.)

The one-sample t-statistic for a test of Ho: u = 42 versus H1:µ < 42 based on n = 15 observations has the value t = -2.138, where Ho and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the t-table. P-value of the test <

Only 16% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 327 randomly selected registered voters surveyed, 56 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? For this study, we should use: z-test for a population proportion or t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer ≠ < = >   (please enter a decimal)     H1:H1:  ? p μ  Select an answer > = ≠ <   (Please enter a decimal) The test statistic ? z or t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer:  accept, reject or fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 16% at αα = 0.05, so there…

The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 53% at a level of significance of αα = 0.01. According to your sample, 58 out of 100 potential voters prefer the Democratic candidate. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:     Ho: ? p μ  Select an answer > = ≠ <  (please enter a decimal)    H1: ? p μ  Select an answer > ≠ < =  (Please enter a decimal) The test statistic ? z t  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 53% at αα = 0.01, so there is not sufficient evidence…

16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer < ≠ = >  (please enter a decimal)     H1:H1:  ? μ p  Select an answer > ≠ = <  (Please enter a decimal) The test statistic ? t z  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer reject accept fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower…