The crab spider. Thomisus spectabilis, sits on flowers and preys upon visiting honeybees. Do honeybees distinguish between flowers that have crab spiders and flowers that do not? To te this, Heiling et al. (2003) gave 33 bees a choice between 2 flowers: one with, and one without a crab spider. In 23 of the 33 trials, the bees picked the flower that had the spider. In the othe trials, the bees chose the spiderless flower. With these data, carry out the appropriate hypothesis test (one- or two-tailed), using the normal approximation to the binomial distribution to determine Z. For a one-tailed test, use the formula =(1-NORM.DIST(Z,0,1,TRUE) in Excel calculate P. For a two-tailed test, use the formula =2(1-NORM.DIST(Z,0,1,TRUE). State your answer for the value of P to three decimal places, and include the leading zero. Do all of the math in Excel • DO NOT round the value of Z. • Substitute the cell (e.g. B1) for Z in the formula for P.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
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### Hypothesis Testing with Normal Approximation

#### Context:
The crab spider, *Thomisus spectabilis*, sits on flowers and preys upon visiting honeybees. A study by Heiling et al. (2003) investigated whether honeybees can distinguish between flowers that have crab spiders and those that do not. In this experiment, 33 bees were given a choice between two flowers: one with a crab spider and one without. Bees chose the flower with the spider in 23 out of the 33 trials, opting for the flower without the spider in the other trials.

#### Objective:
Use the given data to carry out the appropriate hypothesis test (either one-tailed or two-tailed) using the normal approximation to the binomial distribution.

#### Procedure for Hypothesis Testing:
1. **Determine Z using the following formulas:**
    - For a one-tailed test: `=1-NORM.DIST(Z,0,1,TRUE)` in Excel to calculate \( P \)
    - For a two-tailed test: `=2*(1-NORM.DIST(Z,0,1,TRUE))` in Excel to calculate \( P \)

2. **State your answer for the value of \( P \) to three decimal places, and include the leading zero.**

#### Instructions:
- Perform all calculations in Excel.
- Do NOT round the value of \( Z \).
- Substitute the cell (e.g., B1) for \( Z \) in the formula for \( P \).

**Ensure your final answer for \( P \) is precise up to three decimal places.**

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Text Input Box (for student submission):

```
[                     ]
```

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This section is relevant for students learning about hypothesis testing and statistical analysis, aiding them with a practical example and clear instructions for using Excel for statistical calculations.
Transcribed Image Text:### Hypothesis Testing with Normal Approximation #### Context: The crab spider, *Thomisus spectabilis*, sits on flowers and preys upon visiting honeybees. A study by Heiling et al. (2003) investigated whether honeybees can distinguish between flowers that have crab spiders and those that do not. In this experiment, 33 bees were given a choice between two flowers: one with a crab spider and one without. Bees chose the flower with the spider in 23 out of the 33 trials, opting for the flower without the spider in the other trials. #### Objective: Use the given data to carry out the appropriate hypothesis test (either one-tailed or two-tailed) using the normal approximation to the binomial distribution. #### Procedure for Hypothesis Testing: 1. **Determine Z using the following formulas:** - For a one-tailed test: `=1-NORM.DIST(Z,0,1,TRUE)` in Excel to calculate \( P \) - For a two-tailed test: `=2*(1-NORM.DIST(Z,0,1,TRUE))` in Excel to calculate \( P \) 2. **State your answer for the value of \( P \) to three decimal places, and include the leading zero.** #### Instructions: - Perform all calculations in Excel. - Do NOT round the value of \( Z \). - Substitute the cell (e.g., B1) for \( Z \) in the formula for \( P \). **Ensure your final answer for \( P \) is precise up to three decimal places.** --- Text Input Box (for student submission): ``` [ ] ``` --- This section is relevant for students learning about hypothesis testing and statistical analysis, aiding them with a practical example and clear instructions for using Excel for statistical calculations.
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