In: Statistics and Probability
Given two independent random samples with the following results:
n1=586......n2=404
x1=161.....x2=68
Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.05 for the test.
Step 1 of 6: State the null and alternative hypotheses for the test.
Step 2 of 6: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places.
Step 3 of 6: Compute the weighted estimate of p, p‾‾. Round your answer to three decimal places.
Step 4 of 6: Compute the value of the test statistic. Round your answer to two decimal places
Step 5 of 6: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places.
Reject H0 if...
Step 6 of 6: Make the decision for the hypothesis test.
reject null hypothesis...fail to reject null hypothesis