Question

Identify P-value for this hypothesis test is _.

Suppose that in a random selection of 100 colored candies, 27% of them are blue. The candy company claims that the percentage of blue candies is equal to 20%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho:p#0.2 Hy: P = 0.2 O B. Ho: p=0.2 H :p>0.2 C. Ho: p = 0.2 Hy:p*0.2 OD. Ho: p=0.2 Hy:<0.2 Identify the test statistic for this hypothesis test. . The test statistic for this hypothesis test is (Round to two decimal places as needed.)

( round to three decimals places)

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p =0.2

H_a : p $\neq$ 0.2

$\hat p$ = 0.27

P₀ = 0.2

1 - P₀ = 1-0.2=0.8

Test statistic = z

= $\hat p$ - P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

= 0.27-0.2/ [$\sqrt$(0.2*0.8) / 100]

= 1.75

P(z > 1.75) = 1 - P(z <1.75 ) = 1-0.9599=0.0401

P-value = 2*0.0401=0.0802

P VALUE 0.080