It is believed that the average amount of money spent per US household per week on food is about $98, with a population standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weakly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. Which of the following is the correct results of the test for significance at the α level of 1%?a. We reject the alternative hypothesis and conclude that the mean weekly food budget for households in this community is not significantly different than $98 at the 1% level, because the p-value is less than 1%.b. We reject the alternative hypothesis and conclude that the mean weekly food budget for households in this community is not significantly different than $98 at the 1% level, because the p-value is more than 1%.c. We do not reject the alternative hypothesis and conclude that the mean weekly food budget for households in this community is not significantly different than $98 at the 1% level, because the p-value is less than 1%.d. We do not reject the null hypothesis and conclude that the mean weekly food budget for households in this community is not significantly different than $98 at the 1% level, because the p-value is more than 1%.1.What is the critical value for the t-test that has n = 23, α = .005, right-tailed test?

Answer :

Answer: answer is A- we reject the alternative hypothesis and conclude that the mean weekly food budget for households in this community is not significantly different than $98 at the 1% level, because the p-value is less than 1%.

b) . t= 1.72

Step-by-step explanation:

a) testing at 1% level of significance means we accept the null hypothesis then reject the alternative hypothesis when the value of p is less than 0.01.....Option A is correct

b) Critical value for t= t.., n - 1, where n =23 and alpha (..)= .005

t 0.05, 22 = 1.72

Therefore, we will only reject the null hypothesis if the test statistics is greater than 1.72 since it is a right-tailed test.

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