Question

In order to conduct a hypothesis test for the population proportion, you sample 440 observations that result in 220 successes. (You may find it useful to reference the appropriate table: z table or t table Ho: p 0.52; HA: P 0.52 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the p-value. 0.025 s p-value<o.05 0.05s p-value<0.10 O p-value 0.10 O p-value < 0.01 0.01s p-value$0.025

Answer 1

0.1) The test statistics is given by

Z= -0.83972

a.2) p-value is 0.2005 so p-value>=0.10

a.3)At the 0.10 significance level Do not reject H0 since the p-value is is greater than significance level.

a.4) we cannot conclude that sample proportion is less than 0.52.

b.1) The test statistics is given by

Z= -0.83972

b.2) p-value is 0.401 so p-value>=0.10

b.3) At the 0.10 significance level Do not reject H0 since the p-value is is greater than significance level.

b.4) we cannot conclude that population proportion dffers from 0.52