Suppose there Is a cl collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significa test, you write the null hypothesis, Hy and the alternative hypothesis, H, as follows. Suppose you also know the following information. The value of the test statistic based on the sample is -1.896 (rounded to 3 decimal places). The p-value is 0.058 (rounded to 3 decimal places).

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Suppose there is a claim that a certain population has a mean, u, that is equal to 5. 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, Hy and the alternative hypothesis, H, as follows.
Ho H-5
Suppose you also know the following information.
The value of the test statistc based on the sample is -1.896 (rounded to 3 decimal places).
The p-value is 0.058 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
Step 1: Select one-taile
or two-tailed.
o One-tailed
o Two-tailed
0.3
Step 2: Enter the test
statistic.
0.2
(Round to 3 decimal
places.)
0.H
Step 3: Shade the area
represented by the p-
value.
(b) Based on your ånswer to part (a), which statement below is true?
Since the p-value is less than (or equal to) the level of significance, the null
hypothesis is rejected.
Since the p-value is less than (or equal to) the level of significance, the null
hypothesis is not rejected.
Since the p-value is greater than the level of significance, the null hypothesis is
rejected.
Since the p-value is greater than the level of significance, the null hypothesis is not
rejected.
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is equal to 5. 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, Hy and the alternative hypothesis, H, as follows. Ho H-5 Suppose you also know the following information. The value of the test statistc based on the sample is -1.896 (rounded to 3 decimal places). The p-value is 0.058 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-taile or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. 0.2 (Round to 3 decimal places.) 0.H Step 3: Shade the area represented by the p- value. (b) Based on your ånswer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.
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