We want to conduct a claim: µ < 23 The p-value for a hypothesis test turns out to be 0.07401. Significant level α = 0.06. a) At significant level α = 0.06, we reject or don’t reject the null hypothesis H0. Explain the reason you choose reject or don’t reject H0. b) At significant level α = 0.06, is there enough evidence to support the claim?

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Perform the following tests of hypothesis. (a) Ho: 1=285, H1: u< 285, x(mean)=267.80, s=42.90,n=55,a =0.05 (b) Ho: = 10.70,Н1 : u /= 10.70,x(mean)=12.025,s=4.90 n=47 a= 0.01

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Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80,  n1 = 100, x2 = 40, n2 = 80.  What is the observed test statistic for this   test?

Find the P-value for a left-tailed hypothesis test with a test statistic of z = - 1.68. Decide whether to reject H, if the level of significance is a= 0.10. P-value = (Round to four decimal places as needed.) State your conclusion. Choose the correct answer below. O Since P>a, fail to reject Ho- O Since P>a, reject Ho- O Since Psa, fail to reject Ho- OS ince Psa, reject Ho-

Suppose are running a study/poll about the accuracy rate for fingerprint identification. You randomly sample 75 people and find that 62 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.78H0:p=0.78Ha:p≠0.78Ha:p≠0.78 Calculate the test statistic, rounded to 3 decimal places. z=

In a given hypothesis test, the null hypothesis can be rejected at the 0.10 and the 0.05 level of significance, but cannot be rejected at the 0.01 level. The most accurate statement about the ?−p−value for this test is: A. ?-value=0.10p-value=0.10 B. 0.01<?-value<0.050.01<p-value<0.05 C. 0.05<?-value<0.100.05<p-value<0.10 D. ?-value=0.01p-value=0.01

Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…

A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim