A sample of 100 mortgages approved during the current year showed that 31 were issued to a single-earner family or individual. The historical percentage is 25 percent. At the 05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen? (a-1) Ho: TTS.25 versus H;: T> .25. Choose the right option. a. Reject H, if zcalc>1.645 b. Reject H, if zcalc < 1.645 (a-2) Calculate the test statistic. (Round your answer to 4 decimal places.) Test statistic 1.386 (a-3) The null hypothesis should be rejected. True Calu

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A sample of 100 mortgages approved during the current year showed that 31 were issued to a single-earner family or individual. The historical percentage is 25 percent.

At the 0.05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen?

**(a-1)** \( H_0: \pi \leq 0.25 \) versus \( H_1: \pi > 0.25 \). Choose the right option.

- a. Reject \( H_0 \) if \( z_{calc} > 1.645 \)
- b. Reject \( H_0 \) if \( z_{calc} < 1.645 \)

- [ ] a ✅
- [ ] b

**(a-2)** Calculate the test statistic. *(Round your answer to 4 decimal places.)*

- Test statistic: 1.386 ❌

**(a-3)** The null hypothesis should be rejected.

- [ ] True 
- [x] False ✅
Transcribed Image Text:A sample of 100 mortgages approved during the current year showed that 31 were issued to a single-earner family or individual. The historical percentage is 25 percent. At the 0.05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen? **(a-1)** \( H_0: \pi \leq 0.25 \) versus \( H_1: \pi > 0.25 \). Choose the right option. - a. Reject \( H_0 \) if \( z_{calc} > 1.645 \) - b. Reject \( H_0 \) if \( z_{calc} < 1.645 \) - [ ] a ✅ - [ ] b **(a-2)** Calculate the test statistic. *(Round your answer to 4 decimal places.)* - Test statistic: 1.386 ❌ **(a-3)** The null hypothesis should be rejected. - [ ] True - [x] False ✅
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