enwletNele coine A researcher wants to show that the proportion of mosguitoes that carry a cetain dee is gerinegn1t Region 2. In a sample of 1,392 mosquitoesapped in Region 1. 1,173 test positive for the doen mosquitoes trapped in Region 2, 1,196 test positive for the disease Test the atemativehypotheis proportion for Region 1 is greater than the population proportion for Region 2. The est stat corresponding p value? Compute your answer using a value from the table below e f LA 1.55 wht the e b.00 b01 b.02 bos b04 bos b06 bo7 k OR bos 1.10.8640.867o 69o871b87s87s77 1.20.88so.8870.88o 891baas 1.40.9190.9210.9220.9240.92so.926.s2s0.929s 932 .sb.933b.9340.9360.937o.93so.999o9410 4b 44 1.60.94so s4609470.9480.949o95109520.95o 954.954

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The image displays a section of an online assignment interface featuring a random number table. The table consists of 20 rows and 5 columns filled with three-digit numbers:

```
  20, 86, 45, 67, 48
  20, 86, 79, 82, 40
  93, 88, 57, 91, 71
  51, 40, 75, 19, 38
  91, 91, 20, 11, 13
  90, 42, 26, 26, 12
  46, 13, 92, 14, 52
  90, 77, 81, 69, 66
  70, 88, 17,  7, 10
  99, 59, 46, 20, 40
  78, 95, 59, 17, 81
  99,  5, 50, 69, 19
  23, 21, 91, 30, 29
  87, 42, 80, 14, 80
  90, 37, 91, 85, 39
  52, 52, 87, 50, 34
  13, 50, 45, 96, 84
  79, 24,  4, 29, 93
  98, 59, 59, 92,  2
  50, 91, 78,  7, 42
```

Below the number table, there is a field labeled "Provide your answer below:" where students can input their responses. Navigation buttons labeled "Previous" and "Next" are located at the bottom-right corner, indicating that this is part of a sequence in the assignment. 

This kind of table might be used for statistical analysis, probability exercises, or other mathematical applications involving randomized data sets.
Transcribed Image Text:The image displays a section of an online assignment interface featuring a random number table. The table consists of 20 rows and 5 columns filled with three-digit numbers: ``` 20, 86, 45, 67, 48 20, 86, 79, 82, 40 93, 88, 57, 91, 71 51, 40, 75, 19, 38 91, 91, 20, 11, 13 90, 42, 26, 26, 12 46, 13, 92, 14, 52 90, 77, 81, 69, 66 70, 88, 17, 7, 10 99, 59, 46, 20, 40 78, 95, 59, 17, 81 99, 5, 50, 69, 19 23, 21, 91, 30, 29 87, 42, 80, 14, 80 90, 37, 91, 85, 39 52, 52, 87, 50, 34 13, 50, 45, 96, 84 79, 24, 4, 29, 93 98, 59, 59, 92, 2 50, 91, 78, 7, 42 ``` Below the number table, there is a field labeled "Provide your answer below:" where students can input their responses. Navigation buttons labeled "Previous" and "Next" are located at the bottom-right corner, indicating that this is part of a sequence in the assignment. This kind of table might be used for statistical analysis, probability exercises, or other mathematical applications involving randomized data sets.
**Text from the Image:**

A researcher wants to show that the proportion of mosquitoes that carry a certain disease is greater in Region 2 than in Region 1. In a sample of 1,392 mosquitoes trapped in Region 1, 117 test positive for the disease. In a sample of 1,465 mosquitoes trapped in Region 2, 155 test positive for the disease. At the 10% level of significance, is there evidence that the proportion for Region 1 is greater than the proportion for Region 2? What is the test statistic, z, and the corresponding p-value? Compute your answer using a value from the table below.

**Table:**

The table displayed provides values to assist in hypothesis testing, likely providing p-values corresponding to different z-scores. The table is presented with rows and columns labeled with numeric values. However, specific contents of the table are not visible in detail from the image.

**Educational Explanation:**

To determine whether there is a significant difference in the proportions of mosquitoes carrying the disease between Region 1 and Region 2, the researcher will conduct a hypothesis test for proportions. The null hypothesis states that the disease proportion in Region 1 is not greater than in Region 2. A test statistic (z-score) is calculated based on the sample data, and this value is compared against a critical value from a standard normal distribution table or a p-value is calculated to draw conclusions about the hypothesis. If the computed p-value is less than the significance level (0.10), the null hypothesis is rejected, indicating a significant difference.
Transcribed Image Text:**Text from the Image:** A researcher wants to show that the proportion of mosquitoes that carry a certain disease is greater in Region 2 than in Region 1. In a sample of 1,392 mosquitoes trapped in Region 1, 117 test positive for the disease. In a sample of 1,465 mosquitoes trapped in Region 2, 155 test positive for the disease. At the 10% level of significance, is there evidence that the proportion for Region 1 is greater than the proportion for Region 2? What is the test statistic, z, and the corresponding p-value? Compute your answer using a value from the table below. **Table:** The table displayed provides values to assist in hypothesis testing, likely providing p-values corresponding to different z-scores. The table is presented with rows and columns labeled with numeric values. However, specific contents of the table are not visible in detail from the image. **Educational Explanation:** To determine whether there is a significant difference in the proportions of mosquitoes carrying the disease between Region 1 and Region 2, the researcher will conduct a hypothesis test for proportions. The null hypothesis states that the disease proportion in Region 1 is not greater than in Region 2. A test statistic (z-score) is calculated based on the sample data, and this value is compared against a critical value from a standard normal distribution table or a p-value is calculated to draw conclusions about the hypothesis. If the computed p-value is less than the significance level (0.10), the null hypothesis is rejected, indicating a significant difference.
Expert Solution
Step 1

The null and alternative hypothesis are given by :

Ho : P1 = P2H1 : P1 > P2 (one-tail)

The test statistics is given to be z=1.55

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