It has been thought that men have higher rates of sleep apnea than women. In order to investigate this claim, researchers specializing in sleep science took a simple random sample of 58 older men and 63 older women and found that 36 of the men and 35 of the women experienced obstructive sleep apnea. Use this sample to test the claim that men have higher rates of sleep apnea than women using 95% confidence. **Let the first population be of the men and the second population be of the women.** For the null and alternative hypothesis you may write words, don't spend a ton of time on symbols. The null hypothesis is      . The alternative hypothesis is      . If you use tables please complete the critical value and test statistic section, if you use a TI-84, please complete the p-value and alpha section. Leave the other sections blank. Critical value or values are   . If there is more than one answer, write them from smallest to largest and separate answers with a comma. Round to 2 decimal places. The test statistic is   . Round to 2 decimal places.

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It has been thought that men have higher rates of sleep apnea than women. In order to investigate this claim, researchers specializing in sleep science took a simple random sample of 58 older men and 63 older women and found that 36 of the men and 35 of the women experienced obstructive sleep apnea. Use this sample to test the claim that men have higher rates of sleep apnea than women using 95% confidence.

**Let the first population be of the men and the second population be of the women.**

For the null and alternative hypothesis you may write words, don't spend a ton of time on symbols.

The null hypothesis is      .

The alternative hypothesis is      .

If you use tables please complete the critical value and test statistic section, if you use a TI-84, please complete the p-value and alpha section. Leave the other sections blank.

Critical value or values are   . If there is more than one answer, write them from smallest to largest and separate answers with a comma. Round to 2 decimal places.

The test statistic is   . Round to 2 decimal places.

OR

The p-value is     . Round to 3 decimal places.

The alpha value is     . Round to 2 decimal places.

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