You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:p=0.69...

You wish to test the following claim (Ha) at a significance level of α=0.002.
Ho:p=0.69
Ha:p<0.69

You obtain a sample of size n=723 in which there are 489 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...

in the critical region
not in the critical region

This test statistic leads to a decision to...

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 less than 0.69.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.69.
The sample data support the claim that the population proportion is less than 0.69.
There is not sufficient sample evidence to support the claim that the population proportion is less than 0.69.

Solutions

Expert Solution

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = -1.645

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = -0.80

The test statistic is...

not in the critical region

This test statistic leads to a decision to...

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 less than 0.69.

orchestra answered 1 year ago

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