Asked by Charlene Coleman on May 14, 2024

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Consider the following hypothesis test:
H0: p = .5
Ha: p ≠ .5
A sample of 800 provided a sample proportion of .58.
a.
Determine the standard error of the proportion.
b.
Compute the value of the test statistic.
c.
Determine the p-value, and using α = .05, test the hypotheses.

Sample Proportion

The fraction or percentage of the sample that represents part of a particular category or characteristic of interest.

Null Hypothesis

A hypothesis that assumes no significant difference or effect in the context of an experiment or test.

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, suggesting that there is a significant effect or difference.

  • Establish the value of the standard error for both the mean and the proportion.
  • Calculate the test statistic for assorted hypothesis test types.
  • Execute calculations to obtain p-values and interpret their meaning in hypothesis testing.
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Verified Answer

TS
Tijendar SinghMay 14, 2024
Final Answer :

a.
.01768
b.
z = 4.53
c.
p-value is almost zero; reject H0