You wish to test the following claim (HaHa) at a significance level of ?=0.01?=0

Question

You wish to test the following claim (HaHa) at a significance level of ?=0.01?=0.01.

      Ho:p=0.84Ho:p=0.84
      Ha:p>0.84Ha:p>0.84

You obtain a sample of size n=733n=733 in which there are 640 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming HoHo is true) the probability of observing...

at most 640 successful observations

at least 640 successful observations

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) ??

greater than ??

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 greater than 0.84.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.84.

The sample data support the claim that the population proportion is greater than 0.84.

There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.84.

Explanation / Answer

Ans:

Correct option is:

The p-value for this test is (assuming HoHo is true) the probability of observing at least 640 successful observations.

p-value=P(x>=640)

=1-P(x<=639)

  =1-BINOMDIST(639,733,0.84,TRUE)

=0.0070

p-value is less than alpha(0.01)

Reject the null hypothesis.

The sample data support the claim that the population proportion is greater than 0.84

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