i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type Il error in which the null hypothesis is not rejected when it should have been rejected. ii. A test statistic is a value determined from sample information collected to test the null hypothesis. iii. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.

B. Identify the test statistic test C. Identify the P-value for this hypothesis test D. If P-value is reject H0 or fail to reject H0?

Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5791 patients treated with this drug, 160 developed the adverse reaction of nausea. Use a 0.10 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho:p=0.03 H4:p#0.03 O B. Ho: p#0.03 H4:p=0.03 OC. Ho: p=0.03 H4:p0.03 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)

If a significance test gives p-value 0.005... A.. the effect of interest is practically significant B...We do have good evidence against the null hypothesis C...we do not have good evidence against the null hypothesis D...the null hypothesis is very likely to be true E.. The margin of error is 0.005

If the null hypothesis is false, you cannot make which kind of error? Type I Type II

Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -

Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 23 people who drank ethanol and another group of 23 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation of 0.78. Assume that the two populations are normally distributed. Use a 0.05 significance level to test the claim that both groups have the same amount of variation among the errors. Let sample 1 be the sample with the larger sample variance, and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses? OA. H₂:0² = 0²/2 OB. H₂:0² = 0²/2 H₁: 0²/12 #02/22 H₁:0² > 0²/2 ỌC Họỏi cơ OD. Ho: 0²/02/2 H₁:0² <0² H₁:0² = 0²/2 Identify the test statistic. (Round to two decimal places as needed.) Use technology to identify the P-value. (Round to three decimal places as needed.)

(b) (c) (d) What is the value of the sample test statistic? Find (or estimate) the P-value. Based on your answers in parts (a) to (c), will you reject or fail to Teject the null hypothesis? Are the data statistically significant at level a? 6. Professor Jennings claims that only 35% of the students at Flora College work while attending school, Dean Benata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 76 students shows that 36 have jobs. Do the data indicate that more than 35% of the students bave jobs? Use a 5% level of significance. What are we testing in this problem? i) single proportion ii) single mean a) What is the level of significance? State the null and alternate hypotheses. what sampling distribution will you use? What assumptions are you making? b) What is the value of the sample test statistic? c) Find (or estimate) the P-value. d) Based on your answers in parts (a) to (c), will you reject or fail to…

1.) Identify the null and alternative hypotheses for this test.  2.) Identify the test statistic for this hypothesis test. ​(Round to two decimal places as​ needed.) 3.) Identify the​ P-value for this hypothesis test. ​(Round to three decimal places as​ needed.) 4.) Identify the conclusion for this hypothesis test.