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Sophia Intro To Statistics Prob & Stats Unit 5 Milestone 5 Hypothesis Testing & Confidence Intervals Questions And Answers 2025 Latest Solutions

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Sophia Intro To Statistics Prob & Stats Unit 5 Milestone 5 Hypothesis Testing & Confidence Intervals Questions And Answers Latest Solutions

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Sophia Intro To Statistics Prob & Stats Unit 5 Milestone 5
Hypothesis Testing & Confidence Intervals Questions And
Answers Latest Solutions

, UNIT 5 — MILESTONE 5


RETAKE




20/23 that's 87%




A superintendent of a school district conducted a survey to find out the
level of job satisfaction among teachers. Out of 53 teachers who replied to
the survey, 13 claim they are satisfied with their job.




The superintendent wishes to construct a significance test for her data.
She finds that the proportion of satisfied teachers nationally is 18.4%.

What is the z-statistic for this data? Answer choices are rounded to the
hundredths place.



1.24




0.61




1.15

, lOMoAR cPSD| 7670600




2.90

RATIONALE

To make things a little easier, let's first note the denominator




Finally, subbing all in we find


CONCEPT
→ Z-Test for Population Proportions

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2 ●

The government claims that the average age of Californians is 34 years. Joe
hypothesizes that the average age of the population of California is not
equal to 34 years. He records a sample mean equal to 37 and states the
hypothesis as μ = 34 vs μ ≠ 34.

What type of test should Joe do?




Two-tailed test




Right-tailed test


, Left-tailed test




Joe should not do any of the types ●
of tests listed.
RATIONALE

Since the Hₐ is a not equal (≠) sign, this indicates he wants to run a two-
tailed test where the rejection region is the upper or lower tail.



CONCEPT
→ One-Tailed and Two-Tailed Tests

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3 ●

Rachel recorded the number of calls she made at work during the week:

Day Calls

Monday 18

Tuesday 14

Wednesday 24

Thursday 16
She expected to make 18 calls each day. To answer whether the number of
calls follows a uniform distribution, a chi-square test for goodness of fit
should be performed. (alpha = 0.10)




What is the chi-squared test statistic? Answers are rounded to the nearest
hundredth.



3.11

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