Asked by Jayla Barwari on May 21, 2024

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Consider the following hypothesis test:
H0: p Consider the following hypothesis test: H<sub>0</sub>: p   .8 H<sub>a</sub>: p > .8 A sample of 400 provided a sample proportion of .853.  a. Determine the standard error of the proportion. b. Compute the value of the test statistic. c. Determine the p-value; and at a 5% level, test the above hypotheses. .8
Ha: p > .8
A sample of 400 provided a sample proportion of .853.
a.
Determine the standard error of the proportion.
b.
Compute the value of the test statistic.
c.
Determine the p-value; and at a 5% level, test the above hypotheses.

Sample Proportion

The ratio of members in a statistical sample that have a particular attribute to the total number of members in the sample.

Null Hypothesis

The null hypothesis is a statement used in statistics that proposes there is no significant difference or effect, serving as the starting point for hypothesis testing.

Alternative Hypothesis

A statistical hypothesis that proposes a difference or effect, contrasting the null hypothesis.

  • Ascertain the standard error of the mean as well as the standard error of proportion.
  • Compute the test statistic for different kinds of hypothesis testing.
  • Compute and elucidate p-values within the framework of hypothesis examination.
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VC
Victoria CorreiaMay 25, 2024
Final Answer :

a.
.02
b.
z = 2.65
c.
p-value = .004; reject H0