Suppose there Is a claim that a certain population has a mean, p, that is 5 or more. 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 and the alternative hypothesis, H, as follows. Ho u25 Hi u<5 Suppose you also know the following information. The value of the test statistic based on the sample is -1.572 (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-tailed or two-tailed. o One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (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. 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.
Suppose there Is a claim that a certain population has a mean, p, that is 5 or more. 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 and the alternative hypothesis, H, as follows. Ho u25 Hi u<5 Suppose you also know the following information. The value of the test statistic based on the sample is -1.572 (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-tailed or two-tailed. o One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (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. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Transcribed Image Text:Suppose there is a claim that a certain population has a mean, p, that is 5 or more. 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.
H: u<5
Suppose you also know the following information.
The value of the test statistic based on the sample is -1.572 (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-tailed
or two-tailed.
o One-tailed
O Two-tailed
0.3
Step 2: Enter the test
statistic.
02
(Round to 3 decimal
places.)
Step 3: Shade the area
represented by the p-
value.
(b) Based on your answer 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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