As a dog owner I became curious as to the reason, why people choose to own a dog. I claim that more women choose to own a dog mainly for companionship than women who choose to have a large dog mainly for companionship. Do the data provide sufficient evidence to conclude that the proportion of women who prefer small dogs for companionship greater than the proportion of women who prefer large dogs for companionship? On Sunday, I will stand outside of my local Petco and survey women who are entering the store. I will ask if they own a dog, the main reason that they acquired a dog whether it was for protection or companionship and the size of their dog. I will collect this data in my notebook. I will not collect data from people exiting the store to ensure that I do not survey the same person more than once. I will acquire 30 samples of women who own small dogs and 30 women who own large dogs. I will not include women under the age of 20 because they usually can’t afford to be dog owners. I counted 27 out of 30 women chose to own small dogs for companionship and 11 out of 30 women chose to own large dogs for companionship. This is what I came up with , but I want to make sure it is correct. How do you come up with the confidence level
I need to find the confidence level using a ti83 for the following:
As a dog owner I became curious as to the reason, why people choose to own a dog. I claim that more women choose to own a dog mainly for companionship than women who choose to have a large dog mainly for companionship. Do the data provide sufficient evidence to conclude that the proportion of women who prefer small dogs for companionship greater than the proportion of women who prefer large dogs for companionship?
On Sunday, I will stand outside of my local Petco and survey women who are entering the store. I will ask if they own a dog, the main reason that they acquired a dog whether it was for protection or companionship and the size of their dog. I will collect this data in my notebook. I will not collect data from people exiting the store to ensure that I do not survey the same person more than once. I will acquire 30 samples of women who own small dogs and 30 women who own large dogs. I will not include women under the age of 20 because they usually can’t afford to be dog owners.
I counted 27 out of 30 women chose to own small dogs for companionship and 11 out of 30 women chose to own large dogs for companionship.
This is what I came up with , but I want to make sure it is correct. How do you come up with the confidence level, using a z test?
Therefore, based on the data provided, the 95% confidence interval for the difference between the population proportions 0.7360.33<p<0.736, which indicates that we are 95% confident that the true difference between population proportions is contained by the interval (0.33, 0.736)
Let p1 represents the women chose to own small dogs for companionship
p2 represents the women chose to own large dogs for companionship.
We need to construct the confidence interval for the difference between population proportions . We have been provided with the following information about the sample proportions:
| Favorable Cases 1 = | |
| Sample Size 1 = | |
| Favorable Cases 2 = | |
| Sample Size 2 = |
The sample proportion 1 is computed as follows, based on the sample size and the number of favorable cases
The sample proportion 2 is computed as follows, based on the sample size and the number of favorable cases
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