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You wish to test the following claim a significance level of = 0.02 =0.02 . H o : p = 0.83 Ho:p=0.83 H a :

You wish to test the following claim a significance level of

=

0.02

=0.02

.

H

o

:

p

=

0.83

Ho:p=0.83

H

a

:

p

<

0.83

Ha:p<0.83

You obtain a sample of sizen

=

658

n=658

in which there are 524 successful observations.

  1. What is the test statistic for this sample?
  2. test statistic =Round to 3 decimal places.
  3. What is the p-value for this sample?
  4. P-value =Use TechnologyRound to 4 decimal places.
  5. The p-value is...
  • less than (or equal to)
  • greater than
  1. This test statistic leads to a decision to...
  • reject the null
  • accept the null
  • fail to reject the null
  1. As such, the final conclusion is that...
  • There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.83.
  • There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.83.
  • The sample data support the claim that the population proportion is less than 0.83.
  • There is not sufficient sample evidence to support the claim that the population proportion is less than 0.83.

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