Test the claim that the mean GPA of night students is smaller than 2.8 at the .005significance level.The null and alternative hypothesis would be:0.7 Но: и — 2.8 Но: р — 0.72.8 H p 0.7Ho 2.8 Ho: u 2.8 Ho:pH u 2.8 H1 2.8 H1 p 0.7 H11Но:р 3 0.7H1 p0.7The test isleft-tailed right-tailed two-tailedBased on a sample of 80 people, the sample mean GPA was 2.77 with a standarddeviation of 0.08The test statistic is: -3.35410196625(to 2 decimals)The critical value is: 1.96* (to 2 decimals)Based on this we:Reject the null hypothesisOFail to reject the null hypothesis A political candidate has asked you to conduct a poll to determine what percentage ofpeople support him. If the candidate only wants a 10% margin of error at a 90%confidence level, what size of sample is needed?Hint: Video []

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Asked Nov 12, 2019
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I need help finding the answer on the TI84 Plus CE and on paper ?. Thank you

 

Test the claim that the mean GPA of night students is smaller than 2.8 at the .005
significance level.
The null and alternative hypothesis would be:
0.7 Но: и — 2.8 Но: р — 0.7
2.8 H p 0.7
Ho 2.8 Ho: u 2.8 Ho:p
H u 2.8 H1 2.8 H1 p 0.7 H1
1
Но:р 3 0.7
H1 p0.7
The test is
left-tailed right-tailed two-tailed
Based on a sample of 80 people, the sample mean GPA was 2.77 with a standard
deviation of 0.08
The test statistic is: -3.35410196625
(to 2 decimals)
The critical value is: 1.96
* (to 2 decimals)
Based on this we:
Reject the null hypothesis
OFail to reject the null hypothesis
help_outline

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Test the claim that the mean GPA of night students is smaller than 2.8 at the .005 significance level. The null and alternative hypothesis would be: 0.7 Но: и — 2.8 Но: р — 0.7 2.8 H p 0.7 Ho 2.8 Ho: u 2.8 Ho:p H u 2.8 H1 2.8 H1 p 0.7 H1 1 Но:р 3 0.7 H1 p0.7 The test is left-tailed right-tailed two-tailed Based on a sample of 80 people, the sample mean GPA was 2.77 with a standard deviation of 0.08 The test statistic is: -3.35410196625 (to 2 decimals) The critical value is: 1.96 * (to 2 decimals) Based on this we: Reject the null hypothesis OFail to reject the null hypothesis

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A political candidate has asked you to conduct a poll to determine what percentage of
people support him. If the candidate only wants a 10% margin of error at a 90%
confidence level, what size of sample is needed?
Hint: Video []
help_outline

Image Transcriptionclose

A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only wants a 10% margin of error at a 90% confidence level, what size of sample is needed? Hint: Video []

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Expert Answer

Step 1

Alternate hypotheses Ha are generally the claims we are testing. Our claim is that the mean GPA<2.8. 

H0: Mean = 2.8

Ha: Mean <2.8

Step 2

From the alternate hypotheses, we can see that the test is one-sided. The sign of hypothesis claim tells us if the test is left-sided or right-sided. 

< sign hints at left-sided test

> sign means right-tailed test

Step 3

Test statistic can be  calculated ...

help_outline

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X - Test statistic Vn 2.77-2.8 0.08 80 =-3.3541

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