A phycologist is interested in testing the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half. A random sample of 50 alga was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. Please select any of the statements below which are TRUE. Answer 1.0 2.0 Ho: H≥ 50% H₁: H < 50% Ho:p 2.50 H₁: p < .50 3. The P-value for this hypothesis test is 3.68 4. For this hypothesis test since the P-value is less than or equal to alpha means we reject the null hypothesis. 5. For this hypothesis test, since the P-value is 0 we reject the null hypothesis. Therefore, we reject the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half.

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**1-Prop Hypothesis Test 01**

A phycologist is interested in testing the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half. A random sample of 50 algae was obtained, and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria.

Please select any of the statements below which are TRUE.

**Answer**

1. \( H_0: \mu \geq 50\% \)
   \( H_1: \mu < 50\% \)

2. \( H_0: p \geq .50 \)
   \( H_1: p < .50 \)

3. ☑ The P-value for this hypothesis test is 3.68

4. ☐ For this hypothesis test since the P-value is less than or equal to alpha, we reject the null hypothesis.

5. ☐ For this hypothesis test, since the P-value is 0, we reject the null hypothesis.

Therefore, we reject the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half.
Transcribed Image Text:**1-Prop Hypothesis Test 01** A phycologist is interested in testing the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half. A random sample of 50 algae was obtained, and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. Please select any of the statements below which are TRUE. **Answer** 1. \( H_0: \mu \geq 50\% \) \( H_1: \mu < 50\% \) 2. \( H_0: p \geq .50 \) \( H_1: p < .50 \) 3. ☑ The P-value for this hypothesis test is 3.68 4. ☐ For this hypothesis test since the P-value is less than or equal to alpha, we reject the null hypothesis. 5. ☐ For this hypothesis test, since the P-value is 0, we reject the null hypothesis. Therefore, we reject the claim that the proportion of algae from a local rivulet that belonged to the particular phylum cyanobacteria is at least half.
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