Which of the following provides both the correct null and the correct alternative hypothesis for this situation? но: п=0.62 На: п< 0.62 но:: п =0.71, HO: -0.62, HO: = 0.71, НО:: п-0.58, НО:: П >0.62, 000 000 На: : п< 0.71 Ha: < 0.62 На: < 0.71 На: : п >0.58 На: : п< 0.62

MATLAB: An Introduction with Applications
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**Hypothesis Test**

It is conjectured that the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62.

A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the α = .10 level of significance.

**Which of the following provides both the correct null and the correct alternative hypothesis for this situation?**

- [ ] H0: π = 0.62;    Ha: π < 0.62
- [ ] H0: π = 0.71;    Ha: π < 0.71
- [ ] H0: π = 0.62;    Ha: π < 0.62
- [ ] H0: π = 0.71;    Ha: π < 0.71
- [ ] H0: π = 0.58;    Ha: π > 0.58
- [ ] H0: π > 0.62;    Ha: π < 0.62
Transcribed Image Text:**Hypothesis Test** It is conjectured that the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating and also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the α = .10 level of significance. **Which of the following provides both the correct null and the correct alternative hypothesis for this situation?** - [ ] H0: π = 0.62; Ha: π < 0.62 - [ ] H0: π = 0.71; Ha: π < 0.71 - [ ] H0: π = 0.62; Ha: π < 0.62 - [ ] H0: π = 0.71; Ha: π < 0.71 - [ ] H0: π = 0.58; Ha: π > 0.58 - [ ] H0: π > 0.62; Ha: π < 0.62
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