Question

use the normal distribution and given sample results to complete the tests of the given hypothesis...

use the normal distribution and given sample results to complete the tests of the given hypothesis as soon as results come from a random sample and use 5% significance level

Test Ho : p = 0.3 vs Ha : p < 0.3 using the sample results p^ = 0.19 with n = 202

Homework Answers

Answer #1

Solution :

The null and alternative hypothesis is

H0 : p = 0.3

Ha : p < 0.3

= 0.19

1 - P0 = 0.7

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.19 - 0.3 / [(0.3 * 0.7) / 202]

= -3.412

P(z < -3.412) = 0.0003

P-value = 0.0003

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to conclude that the population proportion is leas than 0.3

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