The National Sleep Foundation asked a random sample of 1010 US adults questions about their sleep habits. One of the questions asked about snoring. Of the 995 respondents, 37% of adults reported that they snored at least a few nights a week during the past year. When split into two age categories, 26% of the 184 people under 30 snored, compared with 39% of the 811 in the older group. Could this be considered a significant difference? Let the older group be considered group 1. What would be the correct null and alternative hypothesis for this scenario?
1. Ho:
Ha:
2. What would be the correct value of the pooled proportion? Use the sample proportions above to find your answer to four decimal places.
3. What would be the correct value of the test statistic? Give your answer to two decimal places.
4. What would be the correct p-value? Round your answer to four decimal places.
Based on the sample, we will ["reject", "fail to reject", "accept"] the null hypothesis. There ["is", "is not"] enough evidence to suggest that there is a difference in the rate of snoring between older adults and younger folk.
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