According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24% ? Test at the 10% level. State the hypotheses. Ho: P ?o Ha: P ?o Calculate the test statistic. Round to four decimal places. p= Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value= State your decision. Since the p-value is greater than .10, reject Ho Since the p-value is less than .10, fail to reject Ho. O Since the p-value is greater than .10, fail to reject Ho O Since the p-value is less than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%. At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is not equal to 24%. At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is not equal to 24%. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%. O At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24%? Test at the 10% level.

**State the hypotheses:**

- \( H_0: p = \) [ ]
- \( H_a: p > \) [ ]

**Calculate the test statistic. Round to four decimal places.**

- \( \hat{p} = \) [ ]

**Calculate the standardized test statistic. Round to three decimal places.**

- \( z = \) [ ]

**Find the p-value. Round to four decimal places.**

- p-value = [ ]

**State your decision.**

- ○ Since the p-value is greater than .10, reject \( H_0 \).
- ○ Since the p-value is less than .10, fail to reject \( H_0 \).
- ○ Since the p-value is greater than .10, fail to reject \( H_0 \).
- ○ Since the p-value is less than .10, reject \( H_0 \).

**Interpret the results.**

- ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%.
- ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is not equal to 24%.
- ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is equal to 24%.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%.
- ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%.
Transcribed Image Text:According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24%? Test at the 10% level. **State the hypotheses:** - \( H_0: p = \) [ ] - \( H_a: p > \) [ ] **Calculate the test statistic. Round to four decimal places.** - \( \hat{p} = \) [ ] **Calculate the standardized test statistic. Round to three decimal places.** - \( z = \) [ ] **Find the p-value. Round to four decimal places.** - p-value = [ ] **State your decision.** - ○ Since the p-value is greater than .10, reject \( H_0 \). - ○ Since the p-value is less than .10, fail to reject \( H_0 \). - ○ Since the p-value is greater than .10, fail to reject \( H_0 \). - ○ Since the p-value is less than .10, reject \( H_0 \). **Interpret the results.** - ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%. - ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is not equal to 24%. - ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is more than 24%. - ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is equal to 24%. - ○ At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%. - ○ At the 10% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Connecticut is less than 24%.
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