A researcher is going to perform a two-tailed hypothesis test. The test statistic will follow a standard normal distribution. Answer parts (a) and (b) below. You may use the tool below in the scratch work area to help you. Your work with the tool will not be graded. (a) The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places. Critical values at a= 0.01 : Critical values at a= 0.05: Critical values at a=0.10: and and and ☐☐☐ (b) After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is z=1.874. For which of the levels of significance would the null hypothesis not be rejected? Choose all that apply. na=0.01 na=0.05 na=0.10 None of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher is going to perform a two-tailed hypothesis test. The test statistic will follow a standard normal distribution.
Answer parts (a) and (b) below. You may use the tool below in the scratch work area to help you. Your work with the tool will not be graded.
(a) The researcher might choose 0.01, 0.05, or 0.10 for the
level of significance for the two-tailed test. For each
potential choice for the level of significance, find the
critical values. Round your answers to three decimal
places.
Critical values at a = 0.01:
Critical values at a = 0.05:
Critical values at a = 0.10:
Scratch work (Not graded)
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
OTwo-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
and
0 and
and
(b) After choosing the level of significance, the researcher takes
a sample and finds that the value of the test statistic is
z= 1.874. For which of the levels of significance would the
null hypothesis not be rejected? Choose all that apply.
nα=0.01
α=0.05
na=0.10
0.3+
0.2-
None of the above
X
Transcribed Image Text:A researcher is going to perform a two-tailed hypothesis test. The test statistic will follow a standard normal distribution. Answer parts (a) and (b) below. You may use the tool below in the scratch work area to help you. Your work with the tool will not be graded. (a) The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places. Critical values at a = 0.01: Critical values at a = 0.05: Critical values at a = 0.10: Scratch work (Not graded) Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) and 0 and and (b) After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is z= 1.874. For which of the levels of significance would the null hypothesis not be rejected? Choose all that apply. nα=0.01 α=0.05 na=0.10 0.3+ 0.2- None of the above X
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