Test the null hypothesis H0:μ=3.9 against the alternative hypothesis HA:μ≠3.9 based on a random sample of 22 observations drawn from a normally distributed population with x¯=4.1 and σ=0.89 calculate the appropriate p-value

A research center claims that at least 26​% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent​ year, 23​% say they are concerned that their taxes will be audited. At α =0.01​, is there enough evidence to reject the​ center's claim?  Find the standardized test statistic z = ?   Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.

The null hypothesis is H0​: μ1=μ2 and the alternative hypothesis is as specified. The data available below are from a simple random paired sample from the two populations under consideration. Use the paired​ t-test to perform the required hypothesis test at the 1​% significance level. Ha​: μ1<μ2   Observations from Pair Population 1 Population 2   1 15 19   2 22 25   3 12 13   4 29 27   5 21 28   6 24 24   7 6 9   8 22 28   9 3 3     Find the test statistic. Use population 1−population 2 as the difference.   t=__________ ​(Round to two decimal places as​ needed.)   Determine the critical​ value(s). Select the correct choice below and fill in any answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)   A. The critical value is __________   B. The critical values are ___________ and _________ ​(Use ascending​ order.)   What is the…

A sample of n=25n=25 data values randomly collected from a normally distributed population has standard deviation s=2.1s=2.1. We wish to test the null hypothesis H0:σ=1.5H0:σ=1.5 against the alternative hypothesis H1:σ>1.5H1:σ>1.5 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places.  What is the critical value? Write your answer rounded to 3 decimal places.

A sample of n=18n=18 data values randomly collected from a normally distributed population has variance s2=24.6s2=24.6. We wish to test the null hypothesis H0:σ2=64H0:σ2=64 against the alternative hypothesis H1:σ2<64H1:σ2<64 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal places.

Only 15% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 363 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? μ p  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 accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 15% at αα = 0.01, 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?

8.2 Use technology to find the​ P-value for the hypothesis test described below. The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is μ=17.00 Mbps. The sample size is n=21 and the test statistic is t=−1.798

The hypothesis test H0:μ1−μ2=3 H1:μ1−μ2≠3 is to be carried out for population 1 and 2 where σ1 and σ2 are not known. A random sample of 27 from population 1 has a mean of 78.3 and a standard deviation of 8.8. A random sample of 44 from population 2 has a standard deviation of 7.9. The test statistic was found to be tc=−0.53130. What was the mean of the sample from population 2? x¯2 =

Researchers conducted an experiment in which people with a certain condition were given either a drug or a placebo to treat the condition. At the significance level of α=0.01α=0.01, a test of the following hypotheses was conducted. H0:pD=pPHa:pD>pPH0:pD=pPHa:pD>pP In the hypotheses, pDpD represents the proportion of all people who experience an allergic reaction while taking the drug, and pPpP represents the proportion of all people who experience an allergic reaction while taking the placebo. All conditions for inference were met, and the resulting pp-value was 0.12. Which of the following is the correct decision for the test?     The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo. A The pp-value is less than αα, and the null hypothesis is rejected. There is…