You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.61. You use a significance level of $\alpha = 0.10$. $H_0: p = 0.61$ $H_1: p < 0.61$ You obtain a sample of size $n = 414$ in which there are 234 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = [ ] What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = [ ] The p-value is... O less than (or equal to) $\alpha$ O greater than $\alpha$ This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.61. O There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.61. O The sample data support the claim that the probability of catching the flu this year is less than 0.61. O There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is less than 0.61.
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The null hypothesis is $H_0: p = 0.61$. The alternative hypothesis is $H_1: p < 0.61$. The significance level is $\alpha = 0.10$. The sample size is $n = 414$. The number of successes is $x = 234$. Step 2: Calculate the sample proportion. The sample proportion Show more…
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You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.35. You use a significance level of ?=0.005 . H0:p=0.35 H1:p<0.35 You obtain a sample of size n=337 in which there are 108 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =______________ What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =___________ The p-value is... A.) less than (or equal to) ? B.) greater than ? This test statistic leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.35. B.) There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.35. C.) The sample data support the claim that the probability of catching the flu this year is less than 0.35. D.) There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is less than 0.35.
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