Question

Suppose there is a claim that a certain population has a mean, (mu), 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 0.10 level of significance. To start this test, you write the null hypothesis, (H_0), and the alternative hypothesis, (H_1), as follows. (H_0: mu = 7) (H_1: mu eq 7) Suppose you also know the following information. The value of the test statistic based on the sample is 1.472 (rounded to 3 decimal places). The p-value is 0.141 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. (circ) One-tailed (circ) Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? (circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. (circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. (circ) Since the p-value is greater than the level of significance, the null hypothesis is rejected. (circ) Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

          Suppose there is a claim that a certain population has a mean, (mu), 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 0.10 level of significance. To start this test, you write the null hypothesis, (H_0), and the alternative hypothesis, (H_1), as follows.
(H_0: mu = 7)
(H_1: mu 
eq 7)
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.472 (rounded to 3 decimal places).
The p-value is 0.141 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
(circ) One-tailed
(circ) Two-tailed
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(b) Based on your answer to part (a), which statement below is true?
(circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.
(circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.
(circ) Since the p-value is greater than the level of significance, the null hypothesis is rejected.
(circ) Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

Suppose there is a claim that a certain population has a mean, (mu), 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 0.10 level of significance. To start this test, you write the null hypothesis, (H0), and the alternative hypothesis, (H1), as follows.
(H0: mu = 7)
(H1: mu
eq 7)
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.472 (rounded to 3 decimal places).
The p-value is 0.141 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
(circ) One-tailed
(circ) Two-tailed
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(b) Based on your answer to part (a), which statement below is true?
(circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.
(circ) Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.
(circ) Since the p-value is greater than the level of significance, the null hypothesis is rejected.
(circ) Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

Added by Aaron G.

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