(a) Complete the steps below for this hypothesis test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedOTwo-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)Step 3: Shade the area represented bythe p-value.Step 4: Enter the p-value.(Round to 3 decimal places.)0.3+0.20.1+(b) Based on your answer to part (a), which statement below is true?O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.O Since the p-value is greater than the level of significance, the null hypothesis is rejected.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected.XS Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large randomsample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and thealternative hypothesis, H₁, as follows.Ho: μ = 6H₁: μ #6Suppose you also know the following information.The value of the test statistic based on the sample is 1.518 (rounded to 3 decimal places).The p-value is 0.129 (rounded to 3 decimal places).(a) Complete the steps below for this hypothesis test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedOTwo-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)Step 3: Shade the area represented bythe p-value.Step 4: Enter the p-value.(Round to 3 decimal places.)0.30.20.1-

From the given information, the hypothesized mean is 6.The null and alternative hypotheses are: H0: µ = 6 H1: µ ≠ 6 a) Step 1: Here, the sign in the alternative hypothesis is not equal to. Thus, the test is two-tailed. Step 2: From the given information, the test statistic value is 1.518. Step 3: The shaded area represented by the p-value is: Step 4: From the given information, the p-value is 0.129.b) Rejection rule: Reject the null hypothesis if the p-value is less than or equal to the level of significance. The p-value is greater than the level of significance of 0.10. Thus, the reject null hypothesis is not rejected. Therefore, the answer is “since the p-value is greater than the level of significance, the null hypothesis is not rejected”.