A.) Fail to reject Ho. There is sufficent evidence to warrant rejection of the c

Question

A.) Fail to reject Ho. There is sufficent evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22%.

B.) Reject Ho. There is sufficent evidence to warrant rejection of the claim that percentage of blue candies is equal to 22%

C.) Fail to reject Ho. There is not sufficent evidence to warrant rejection of the claim the percentage of blue candies is equal to 22%.

D. Reject Ho. There is not sufficent evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22%

Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.01 significance level to test that claim. OA. Ho: p 0.22 H1: p> 0.22 O B. Ho:p#0.22 H1: p0.22 OC. Ho:p#0.22 H1:p=0.22 O D. Ho: p 0.22 H1:p#0.22 ldentify the test statistic for this hypothesis test. The test statistic for this hypothesis test is IS (Round to two decimal places as needed.) ldentify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.22
HA : p 0.22

Hypothesis test results:

Hence,

Hypotheses: Option D is correct.

Test statistic = -0.48

P - value = 0.629

Conclusion: Option C is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 20 100 0.2 0.04142463 -0.48280455 0.6292

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