MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to test the following claim (Ha) at a significance level of a = 0.05.
Ho: p = 0.68
Ha: p0.68
You obtain a sample of size n = 624 in which there are 393 successful observations. For this test, you
should NOT use the continuity correction, and you should use the normal distribution as an approximation
for the binomial distribution.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
O in the critical region
not in the critical region
This test statistic leads to a decision to...
O reject the null
accept the null
fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the population proportion is not
equal to 0.68.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is not
equal to 0.68.
The sample data support the claim that the population proportion is not equal to 0.68.
There is not sufficient sample evidence to support the claim that the population proportion is not equal
to 0.68.
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Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho: p = 0.68 Ha: p0.68 You obtain a sample of size n = 624 in which there are 393 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.68. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.68. The sample data support the claim that the population proportion is not equal to 0.68. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.68.
Expert Solution
Check Mark
Step 1: Given Information

The given information is as below:

The level of significance is text α end text equals 0.05.

The hypothesis to be tested for population proportion is;

text H end text subscript 0 colon text P end text equals 0.68 space space space text  v/s end text space space space space space text H end text subscript 1 colon text P end text not equal to 0.68

The sample size text n end text equals 624.

Number of successful observations, text X end text equals 393.

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