Question

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test.

H0: p=0.47 versus H1: p<0.47

n=150, x= 63, a=0.05

(a)

is np0 (1-p0) ≥ 10? Yes of no?

(b)

P-value=

(c)=

_____________ because the P-value is ______ than x.

(The first blank:)

A. Reject the null hypothesis,

B. Do not reject the null hypothesis,

(The second blank:)

A. Greater

B. Less

Answer 1

Solution :

is np0 (1-p0) = 150 * 0.47 * 0.53 = 37.365 ≥ 10

Yes

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p =0.47

H_a : p < 0.47

= x / n = 63 / 150 = 0.42

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.42 - 0.47 / [(0.47 * 0.53) / 150]

= -1.227

P-value = 0.1009

reject the null hypothesis because the P-value is greater than x.