Question

The old variety of a plant has 70% pink flowers. A new variety is developed. In a random sample of 93 plants from the new variety, 59 had pink flowers. Test the claim that the percent of plants with pink flowers for the new variety is different than 70%. Use a 0.10 level of significance.

A. Reject H0
B. Using a 0.10 level of significance there is evidence to say the proportion of pink flowers is not different than 0.70
C. DO NOT Reject H0
D. Using a 0.10 level of significance there is not evidence to say the proportion of pink flowers is different than 0.70"

Answer 1

In this hypothesis test, we fail to reject the null hypothesis that the proportion of plants with pink flowers for the new variety is different than 70%.

Step-by-step explanation:

In this problem, the student wants to test the claim that the percent of plants with pink flowers for the new variety is different than 70%. To do this, we set up the hypothesis test as follows:

Null hypothesis (H0): The proportion of plants with pink flowers for the new variety is 70%. Alternative hypothesis (Ha): The proportion of plants with pink flowers for the new variety is not equal to 70%. We then calculate the p-value, which measures the strength of the evidence against the null hypothesis. If the p-value is less than the level of significance (0.10 in this case), we reject the null hypothesis. If the p-value is greater than or equal to the level of significance, we fail to reject the null hypothesis.

In this case, the p-value is 0.174, which is greater than 0.10. Therefore, we fail to reject the null hypothesis. The correct answer is option C: DO NOT Reject H0.