Suppose we would like to test the hypothesis that at least 10% of students suffer from allergies. We collect a random sample of 225 students and 21 of them suffer from allergies. State the null and alternative hypotheses. Obtain a test statistic and a P-value. State the conclusion at the α=0.05 level

More than 59% of adults would erase all their personal information. The hypothesis test results in a p value of .0241. State a conclusion about the null hypothesis. Without using technical terms state a final conclusion

Regulations from the Environmental Protection Agency say that soil used in play areas should not have lead levels that exceed a 400 parts per million (ppm). Before beginning construction at a new site, an agent will take a sample of soil and run a significance test on the mean lead level in the soil. If the mean lead level in the sample is significantly higher than 400 ppm, then the soil is deemed unsafe and construction cannot continue. Here are the hypotheses for this test: Ho : µ 400 ppm (soil is unsafe) (where u is the mean lead level in the soil at the new site). Which of the following would be a Type I error in this setting? Choose 1 answer: The soil is actually safe, and the sample result is below 400 ppm. so construction continues. The soil is actually safe, and the sample result is significantly higher than 400 ppm. so construction stops. The soil is actually unsafe, and the sample result is below 400 ppm, so construction continues. The soil is actually unsafe, and the sample…

From 2012-2017 the 5 year remission rate of Breast cancer was 91%. Suppose we wish to know if that percentage has changed in 2020. We take a random sample of 360 breast cancer survivors from 2015-2020 and find out that 315 have remained in remission since. Use a significance level of α = .05.  (a) State the null and alternate hypothesis (b) Can we continue with testing the hypothesis? Why or why not? (c) If possible, proceed with the hypothesis test and reach a conclusion.

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.34. You use a significance level of α=0.005α=0.005.      H0:p=0.34H0:p=0.34      H1:p≠0.34H1:p≠0.34You obtain a sample of size n=551n=551 in which there are 164 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α= 0.01. According to your sample, 36 out of 71 potential voters prefer the Democratic candidate. The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

Previously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 135 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a= 0.1 level of significance. What are the null and alternative hypotheses? Họ: P = 0.04 versus H,: p < 0.04 (Type integers or decimals. Do not round.) Because npo (1- Po) =U (Round to one decimal place as needed.) 10, the normal model be used to approximate the P-value.

An researcher has decided to use significant level α = 0.01 for her experiment. What is the consequence? Group of answer choices The probability of a Type II error is small. There is a small chance of rejecting the null hypothesis when it is true. The probability of a Type I error is large. If the null hypothesis is false, the experimenter will easily be able to reject it.

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. At a = 0.05, test the claim. Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. HTML EditorÉ BIUA -エE= 国x 三 曲,回 深四 12pt Para SAMSUNG 9%