Find the​ P-value for a​ left-tailed hypothesis test with a test statistic of z=−1.74. Decide whether to reject H0 if the level of significance is α=0.05.     ​P-value= ​(Round to four decimal places as​ needed.)   State your conclusion. Choose the correct answer below.   a.Since P>α​, fail to reject H0.   b.Since P≤α​,reject H0.   c.Since P≤α​, fail to reject H0.   d.Since P>α​, reject H0.

A hypothesis test is performed at the 5% significance for a normal population mean u iwth the null and alternative hypotheses given below. Haitl# Ho Orl =r1:0H It is found that the p-value is p = 0.0123. What is the correct decision and interpretation of the hypothesis test? O Inconclusive or not enough information to tell. O Do not reject the null hypothesis. Our data supports the null hypothesis. O Do not reject the null hypothesis. We have proved the null hypothesis is true. O Reject the null hypothesis. We have proved the null hypothesis is false. O Reject the null hypothesis. Our data is statistically insignificant. O Reject the null hypothesis. Our data does not support the null hypothesis.

B. The test​ statistic, t=____ C.The​ P-value is_____ D.State the conclusion for the test. Reject the null hypothesis or Fail to reject the null hypothesis.   E. Construct a confidence interval appropriate for the hypothesis test in part​ (a). ___lb<μ1−μ2<____lb   F. Does the confidence interval support the conclusion found with the hypothesis​ test? (No/Yes) because the confidence interval contains  (only negative values/ only positive values/ zero.)

Suppose there is a claim that a certain population has a mean, 4, that is different than 9. 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, Ho, and the alternative hypothesis, H1, as follows. Hg: 4= 9 H: u=9 Suppose you also know the following information. The value of the test statistic based on the sample is -2.044 (rounded to 3 decimal places). The p-value is 0.041 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? O since the p-value is less…